Answer:
HERE ARE FOLLOWS
Step-by-step explanation:
The population of a city was five-sevenths of a million in 2010 and five million in 2016. The population growth can be described as an arithmetic sequence. Find its common difference, which represents the annual growth of the population.
In this question, we’re told that we have an arithmetic sequence. This is a special type of sequence that has a common difference between each term. For example, the sequence two, seven, 12, 17, and so on has a common difference of five, as we add five each time to get the next term. The general term of any arithmetic sequence, written sub , is equal to sub one plus minus one multiplied by , where sub one is the first term in the sequence and is the common difference. It is this common difference that we are trying to calculate in this question.
In this question, we are told that the initial population in 2010 was five-sevenths of a million. So, we will let sub one, the first term, be five-sevenths. We are also told that the population in 2016 was five million. We can see that this would correspond to the seventh term in our sequence. This means that sub seven is equal to five. We can now substitute our values into the formula for the general term. The seventh term five is equal to five-sevenths plus seven minus one multiplied by . The right-hand side simplifies to five-sevenths plus six .
Noting that we can write five as 35 over seven, when we subtract five-sevenths from both sides of our equation, we get thirty sevenths is equal to six . We can then divide both sides of this equation by six, giving us is equal to 30 over 42. Both the numerator and denominator of our fraction are divisible by six. As 30 divided by six is five and 42 divided by six is seven, our fraction simplifies to five-sevenths.
We can therefore conclude that the common difference which represents the annual growth of the population is five-sevenths of a million.
Given that 1 inch = 2.54 cm, how many centimeters are there in 8 feet? Answers may be written using the decimal form and should be rounded to the nearest hundredth when necessary.
Answer:
243.84 cm
Step-by-step explanation:
(8 ft)(12 in/ft) = 96 in
(96 in)(2.54 cm/in) = 243.84 cm
Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
A. R = {-7, -1, 9, 17}
B. R = {-17, -9, -1, 17}
C. R = {1, 7, 9, 17}
D. R = {-7, 1, 9, 17}
The range of the function f(x) = 4x + 9 is R = {-7, 1, 9, 17}. Option D is the correct option.
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Given function is f(x) = 4x + 9.
The domain of the function is D = {-4, -2, 0, 2}.
To find the rage of the function putting x = -4, -2, 0, 2 in the given function:
When x = -4
f(-4) = 4(-4) + 9
f(-4) = -16 + 9
f(-4) = -7
When x = 0
f(0) = 4(-0) + 9
f(0) = 0+ 9
f(0) =9
When x = 2
f(2) = 4(2) + 9
f(2) = 8 + 9
f(2) = 17
The set of the value of f(x) at x = -4, -2, 0, 2 is the range of the function.
The range of the function is R = {f(-4), f(-2), f(0), f(2)} = {-7, 1, 9, 17}
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Where is this quadratic function increasing?
Responses
A x = 3x = 3
B x > 3x > 3
C x ≠ 3x ≠ 3
D x < 3
Examining the graph the quadratic function is increasing at
D x < 3How to know when a function increasingA quadratic graph is a traces the part of a parabola, while quadratic equation is a polynomial equation with 2 degrees.
The behavior of the quadratic function is lowest at the symmetry or point of vertex. other sides by the left or right the function is increasing
The vertex is at point (3, 0) this is same as say x = 3. points above this point shows increasing values of function y and points below the value shows increasing values for function y too
this is represented as x > 3 for x above 3 and x ,< 3 for x below the value of 3
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John has taken six quizzes in his statistics class. His
scores on these quizzes are listed below.
71, 75, 76, 80, 85, 87
He finds that the mean is 79.0 and the median is 78.0
for these six quiz scores. If John earns a 100% on the
next exam, what will the new mean and median be?
O The new mean will be 82.0 and the new median will
be 78.0.
O The new mean will be 82.0 and the new median will
be 80.0.
O The new mean will be 89.5 and the new median will
be 78.0.
O The new mean will be 89.5 and the new median will
be 80.0
Answer:
The new mean will be 82.0 and the new median will be 80.0.
Step-by-step explanation:
To find the mean, we must divide the sum of terms by the number of terms.
71+75+76+80+85+87+100 = 574Divide 574 by 7 because there are 7 quiz scores574 ÷ 7 = 82The new mean is 82
To find the median, we need to find the middle number of the set
Order the numbers up: 71, 75, 76, 80, 85, 87, 10080 is in the middleThe new median is 80
Tell whether the ordered pair (−5, −4) is a solution of the system.
No, (−5, −4) is not a solution of the system. The ordered pair (−5, −4) is a point in the Cartesian plane, but it is not necessarily a solution of any system of equations.
To determine whether an ordered pair is a solution of a system of equations, we must substitute the values of the ordered pair into the equations in the system and determine whether the equations are true.
For example, consider the following system of equations:
3x − 5y = 20
2x + 4y = 10
To determine whether (−5, −4) is a solution of this system, we must substitute the values of x and y into the equations and determine whether the equations are true.
For the first equation:
3x − 5y = 20
3(-5) − 5(-4) = 20
15 + 20 = 20
35 ≠ 20
For the second equation:
2x + 4y = 10
2(-5) + 4(-4) = 10
-10 - 16 = 10
-26 ≠ 10
Since neither equation is true when the values of (−5, −4) are substituted into the equations, we can conclude that (−5, −4) is not a solution of the system.
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If 75 cupcakes are shared between Team A and Team B respectively in the ratio 2:3, how many does Team A get?
Answer:
Team A gets 30 cupcakes.Step-by-step explanation:
if it helps pls like or maybe make it to brainliest. tyAnswer:
The Number of cupcakes Team A receives is 30
Step-by-step explanation:
Given,
Number of Cup Cakes = 75
Team A = 2x
Team B = 3x
To Find : Number of Cakes Team A receives
In order to find x we Put the values in a equation
2x+3x=75
5x = 75
x = [tex]\frac{75}{5}[/tex]
x = 15
Team A = 2x = 2x15 = 30Cupcakes
Team B = 3x = 3x15 = 45Cupcakes
Hence , the number of cupcakes Team A receives is 30
Why is circle a 2D shape?
A circle is considered a two-dimensional (2D) shape because it has length and width, but no thickness or depth. In other words, a circle exists in a plane and can be defined mathematically as the set of all points that are a fixed distance (the radius) away from a central point (the center).
Another way to think about it is that a circle can be drawn on a flat surface such as a piece of paper, and it can be measured in terms of its diameter and circumference, but it has no thickness or height. It's just a line that goes around and around that creates a loop. While it's a "round" shape, but it has no depth.
In contrast, a three-dimensional (3D) shape has length, width, and height or depth. Examples of 3D shapes include spheres, cubes, and cylinders, which can be thought of as "extruded" versions of 2D shapes such as circles, squares, and rectangles.
It's also important to note that, while a circle is a two-dimensional shape, it is also an important building block for many three-dimensional shapes like a sphere, cylinders, and many more solid shapes.
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At Kinsley's Beading Boutique, 12 out of the 30 beads on clearance are plastic. What percentage of beads on clearance are plastic?
The percentage of the beads on clearance that are plastic, given the number of beads at Kinsley's Beading Boutique, is 40 %
How to find the percentage ?To find the percentage, you need to use the proportion of the beads which are plastic, as a portion of the total, and then multiply this figure by 100 %.
In other words, the percentage of the beads on clearance which are plastic can be found by the formula :
= Number of plastic beads / Total beads on clearance x 100 %
Number of plastic beads = 12 beads
Total beads on clearance = 30 beads
The percentage of plastic beads is:
= 12 / 30 x 100%
= 40 %
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A binary search is to be performed on the array: 1 5 10 13 48 68 100 101 how many comparisons would it take to find number 101?.
Total it can make 04 mid array comparisons it will take to find number 101.
Binary Search :
Binary search is an advanced search algorithm that searches and retrieves data from a sorted list of items. Its core working principle is to halve the data in the list until the desired value is displayed to the user in the search results. Binary search is commonly known as half-interval search or logarithmic search.
I have an array of 10 digits and need to find element 59.All elements are marked with indices from 0 to 9. Now the center of the array has been calculated. To do this, take the left and right values of the index and divide them by 2. The result is 4.5, but we take the minimum value. So the middle is 4.59 is greater than 24 and the array only contains 5 elements, so the algorithm removes all elements from the middle (4) to the lower bound.59 is greater than 45 and less than 63. The middle is 7. So the index value on the right is now the middle 1, or 6, and the index value on the left is still 5, the same as before.By doing this you can see that 59 comes after 45.According to the question:
Given:
Array: 1 5 10 13 48 68 100 101
Required:
Determine the number of comparisons to get to 101
The length of the list is 8. So, the first index is 0 and the last is 7.
List(0) = 1 , List (1) = 5 , List (2) = 10 , List(3) = 13, List(4) = 48 , List(5) = 68 , List (6) = 100 and List (7) = 101.
The element is 101 is on the far right of the array. This means that the execution time of the algorithm will be worst. The worst-case execution time for the binary search algorithm is given by
Tₙ = [ log₂ (n +1)]
where, [x] is the floor function that gives the greatest integer less than or equal to x, and log₂ (n) is the logarithm of n to base 2.
In this case, the number of elements in the array, n = 8. So,
Tₙ = [ log₂ (n +1)]
⇒ T₈ = [log₂ (8) + 1] =4
So, the algorithm will need to make 4 mid-array comparisons to get to 101.
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What is the area of a sector when theta=pi/2 radians and r=8/3
O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
A disparity is presented to us.
[tex]y+4\leq 0[/tex]
The answer to the inequality must be discovered.
For each side of the inequality, deduct 4
y +4 - 4 ≤ 0 - 4
y ≤ -4
y ∈ ( - ∞ , - 4 ]
As a result, the solution set for the given inequality is provided by y (- , - 4].
O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.
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The slope of the line below is 5. Which of the following is the point-slope form of the line?
The point-slope form of the line is y -3 = 5(x + 1).
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
The slope of the line shown in the graph is 5.
And line passes through point (-1, 3).
So,
If a line passes through a point (x₁ ,y₁) and have a slope m,
then the equation of line is,
y - y₁ = m(x - x₁)
So,
y -3 = 5(x + 1)
Therefore, the equation of the line is y -3 = 5(x + 1).
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How do you construct a line segment that is 1/3 the length of the given line segment?
To steps to construct a line segment that is 1/3 the length of the given segment is:
Draw a line segment CD of any length.Fix the compass's end on C and pencil on D. This gives the length of CD.Now divide the length of CD by 3. That is the 1/3 the length of CD.Draw a line 1. Mark a point A on line 1. Change compass's setting into 1/3 the length of CD, place the compass at A.Make an arc on the line l which cuts l at B. Now, AB is a copy of CD which is 1/3 the length of CD.What is line segment?A line segment is bounded by two definite points on a line. We also can say a line segment is part of the line which connects two points. A line has no endpoints and extends immensely in both the direction but a line segment has two fixed or distinct endpoints.
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If a sum of two real numbers is less than 50, then at least one of the number is less than 25.
Prove by contraposition.
Answer:
So basically you will switch the predicate and proposition (p implies q) and we will negate it so not q implies not p. So we will say that both x and y should be 25 or greater and that the sum will be 50 or greater. Below you will find the steps. I just took this course and got a 96% so i think u should get near to full points on something along the lines of this answer. The only thing u may have to change is that we should probably use k and j for x and y but off the top of my head i cannot recall exactly how to word that. Then prove using k and j but the logic is exactly the same. Its just how proofs work. Substitute in a variables for variables ..
Step-by-step explanation:
Proof by contraposition : Let x and y be real numbers. Assume x is a real number greater than or equal to 25 and y is greater than or equal to 25 and the sum of x and y is greater than or equal to 50. We can then take the minimum 25 and 25 and the sum of this gives 50. This satisfies our minimum requirement of 50 since any other number combination will be above 50 we have proven by contraposition that for the sum of two real numbers x and y one number must be less than 25 to be create a sum less than 50
tim runs 4 laps around a track in 5 minutes how many laps per minute did he run
The laps per minute that Tim run when he runs 4 laps around a track in 5 minutes is 0.8 laps.
How to calculate the word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this case, Tim runs 4 laps around a track in 5 minutes The laps per minute that he run will be:
= 4 / 5
= 0.8
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[tex]28146( - 25.5 \times - 250)[/tex]
I need the awnser before 2morww
a) Find the best point estimate of the population proportion p.
0.031 (Round to three decimal places as needed.)
The best point estimate of the population proportion p is 0.031.
It is given in the question. It is the sample proportion of the population, which is computed by dividing the number of successes by the sample size.
It is also known f as sample proportion and it is used as an estimate of population proportion.
It can also be written as (x/n) where x is the number of success and n is the sample size of the given sample.
It is a point estimate because it gives a single value as an estimate for the population proportion.
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what is the coefficient of x^8y^9 in the expansion of (3x+2y)^17
The coefficient of x^8y^9 in the expansion of (3x+2y)^17 is 34459425.
What is coefficient ?
A coefficient is a number or a letter that is used to multiply a variable or a set of variables in an algebraic expression or equation. It is a measure of the strength of the variable with respect to other variables in the equation. Coefficients are often used to represent different physical properties or constants in mathematical models and equations.
To find ,
(a + b)^n = C(n,0)a^n*b^0 + C(n,1)a^(n-1)b^1 + C(n,2)a^(n-2)b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n
Where C(n,k) = n! / (k!(n-k)!) is the binomial coefficient.
In this case, the coefficient of x^8y^9 in the expansion of (3x+2y)^17 is C(17,8) = (1716151413121110)/(87654321) = 34459425.
So the coefficient of x^8y^9 in the expansion of (3x+2y)^17 is 34459425.
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Help pleasee, I am stuck on this question and need it done by tonight
There are four different kinds of transformations: translation, reflection, rotation, and dilation.
Transformations: What Are They?Translation, reflection, rotation, and dilation are examples of the changes that are made to a function by transformations. To create the image, the pre-image, the original image, is modified.There are four different kinds of transformations: translation, reflection, rotation, and dilation. The shape is moved in one direction by translation, in the opposite direction by reflection, 180 degrees by rotation, and a constant amount by dilatation when it is stretched or contracted.There are four different kinds of transformations: translation, reflection, rotation, and dilation.The complete question is,
Which of the 4 transformation types are they?
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Compute P9,2. (Enter an exact number.) Compute C7,5. (Enter an exact number.)
The Exact number of [tex]$$P_{9,2}$$[/tex] is [tex]72[/tex]
The Exact number of [tex]$$C_{7,5} $$[/tex] is [tex]21[/tex]
An exact number is a value that is known with complete certainty. In other words, an exact number has zero uncertainty and an infinite number of significant figures. An exact number cannot be simplified or reduced.
Examples of exact numbers included counted numbers, defined units, and defined unit conversions. Many exact numbers are integers, but some are decimals. Here are specific examples.
Number of protons in a carbon atom (6)Minutes in one hour (60)Avogadro’s number (6.02214076 × 1023)ZeroThe number of centimeters in one inch (exactly 2.54)Number of pages in a bookHere we have to compute [tex]$P_{9,2}$[/tex] means
[tex]P_{1,5} & =\frac{7 !}{(7-5) !}[/tex]
[tex]P_{9,2} & =\frac{9 !}{(9-2) !}[/tex]
[tex]=\frac{9 !}{7 !}=\frac{9 \times 8 \times 7 !}{7 !}[/tex]
[tex]P_{9,2} & =7 \times 8=72[/tex]
Hence [tex]$P_{9,2}$[/tex] [tex]=72[/tex]
Here we have to compute [tex]$C_{7,5}$[/tex] means
Combination [tex]$(7,5)$[/tex]
[tex]$$\begin{aligned}& \left(\begin{array}{l}7 \\5\end{array}\right)=\frac{7 !}{(7-5) ! 5 !}=\frac{7 * 6 * 5 !}{2 ! * 5 !} \\& =\frac{7 * 6}{2 * 1}=21\end{aligned}$$[/tex]
Hence
[tex]$$C_{7,5}=21$$[/tex]
Therefore, the Exact number of P9,2. is 72 and C7,5. is 21.
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Carrie is making a colorful beaded necklace. She has 3 times as many green beads as red beads, and twice as many blue beads as green beads. If she has 150 beads all together, how many of the beads are blue? O 30O 45O 90O 75
The number of blue beads is; 90
If Carrie has 150 beads all together, and 3 times as many green beads as red beads, and twice as many blue beads as green beads. Then we can set up the following equation:
x + (3x) + (2(3x)) = 150
where x is the number of red beads.
Solving for x, we get:
x + 3x + 6x = 150
10x = 150
x = 15
So there are 15 red beads, 45 green beads (3 * 15), and 90 blue beads (2 * 45).
Therefore, the answer is 90 blue beads.
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can i get estimates too
with my answer
Answer: Yes, you may
Step-by-step explanation: You can get estimates with answers, unless if not noted or specifies if it's a dead-exact answer. Estimates are a great strategy for finding the right path for a correct answer.
Slope of y=-5.5
Slope of 4x-4y=22
Answer:
slope of y = -5.5 is 0.
Slope of 4x - 4y = 22 is 1
Step-by-step explanation:
y = -5.5 is a horizontal line going through -5.5. The slope does not go up or down so we say that the slope is zero.
4x - 4y = 22 Subtract 4x from both sides
4x - 4x - 4y = -4x + 22
-4y = -4x + 22 Divide all the way through by -4
[tex]\frac{-4y}{-4}[/tex] = [tex]\frac{-4x}{-4}[/tex] + [tex]\frac{22}{-4}[/tex]
y = x - [tex]\frac{22}{4}[/tex]
The sloe is the number before the x. If we do not see a number, we assume it is 1.
Prove that: ..................................
Answer:
Starting with the left side of the equation:
cos² a + cos² a cot² a
We can simplify the left side by using the identity cot² a = 1/tan² a
cos² a + cos² a * (1/tan² a)
We can simplify further by using the identity tan² a = (1/cos² a) - 1
cos² a + (1 - cos² a)
Now we have the left side of the equation equals to 1 which is the right side of the equation.
Step-by-step explanation:
see above
Step-by-step explanation:
[tex]\displaystyle\\cos^2\alpha +cos^2\alpha cot^2\alpha =\\\\cos^2\alpha (1+cot^2\alpha )=\\\\cos^2\alpha (1+\frac{cos^2\alpha }{sin^2\alpha } )=\\\\cos^2\alpha (\frac{sin^2\alpha +cos^2\alpha }{sin^2\alpha } )=\\\\cos^2\alpha (\frac{1}{sin^2\alpha } )=\\\\\frac{cos^2\alpha }{sin^2\alpha }=\\\\cot^2\alpha[/tex]
Desktop areas: you have two components to the desktop where you do your homework that fit together into an L shape. The two components have the same area.
The Quadratic equation that relates the area of both Rectangular components is 2w^2-4w=0, value of w=2, area of combined figures=20 unit^2.
What are quadratic equations ?
A quadratic equation is a second-degree algebraic equation in x. In its usual form, the quadratic equation is ax^2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first requirement for an equation to be a quadratic equation is that the coefficient of x^2 is not zero (a ≠ 0). When expressing a quadratic equation in standard form, the x^2 term comes first, then the x term, and lastly the constant term. The numeric values a, b, and c are commonly expressed as integral values rather than fractions or decimals.
Now,
As Two components have same area
w*(7-w)=w*(3+w) (Area of rectangle = length*breadth)
2w^2-4w=0 ----- 1
From 1
w(2w-4)=0
w=0/2 as w can not be zero.
So, w=2
Now area of combined figure = w*(7-w)+w*(3+w)
=2*5+2*5
area of combined figure =20 unit^2
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8th grade math
Write an equation that models each situation in slope-intercept form by finding the slope and y-intercept
Emma started with some money from her birthday and then saved the same amount from her allowance each week. After 4 weeks of saving, Emma had $32. After 8 weeks of saving she has $42.
The slope intercept form for the given situation is y = 2.5x+22, where x is number of weeks and y is total cost she saves.
What is the slope intercept of an equation?The slope intercept of an equation refers to the equation in the form y = mx + c, where m is the slope that gives the rate of change and c is the y intercept, which is constant.
Given that, Emma started with some money from her birthday and then saved the same amount from her allowance each week. After 4 weeks of saving, Emma had $32. After 8 weeks of saving she has $42.
We are asked to find the slope intercept form for the given situation,
Let she have $c with her and a be the amount she saves every week.
We have,
4a+c = 32
8a+c = 42
Subtracting the equations,
4a = 10
a = 2.5
That means, she saves $2.5 every week.
Now finding the value of c,
4(2.5)+c = 32
c = 32-10
c = 22
Therefore, she already has $22 with her.
Now, establishing the slope intercept form,
y = 2.5x+22
Where, y is the total cost she saves, x is the number of weeks
Hence, the slope intercept form is y = 2.5x+22, Where, y is the total cost she saves, x is the number of weeks.
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How many square units is the area of the hexagon?
If the hexagon has the side length as 10 units , then the area of hexagon is square units is 259.8 .
What is a Hexagon ?
A Hexagon is defined as a closed two dimensional figure that has 6 sides . and a regular hexagon has all 6 sides equal and all 6 angles equal .
the formula to calculate the area of hexagon can be written as :
Area = [tex]\frac{3\sqrt{3}\; s^{2} }{2}[/tex] ;
the side length of hexagon (s) is = 10 units ;
substituting the side length ,
we get ;
Area = [tex]\frac{3\sqrt{3}\; (10)^{2} }{2}[/tex] ;
On simplifying ,
we get ;
Area of hexagon is = 259.8 square units .
The given question is incomplete , the complete question is
How many square units is the area of the hexagon that has a side length of 10 units ?
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What are scatter plots used for ?
We can use Scatter plots to plot data points on a horizontal and a vertical axis to show how much one variable affects another.
Scatter plots are primarily used to observe the relationship between two numeric variables. The values of individual data points and patterns of the represented data are reported by the dots in a scatter plot. In the case of a given particular horizontal value, we can make a good prediction for the vertical value.
For identifying other patterns in data a Scatter plot can also be used. Data points can be divided into groups based on how closely sets of points cluster together.
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Which of these equations have no solution? Check all that apply.
D 2(x + 2) + 2 = 2(x + 3)+1
DD 2x + 3(x + 5) = 5(x- 3)
D 4(x + 3) =x + 12
D 4 - (2x + 5) = 4(-4x - 2)
0 5(x + 4) - x = 4(x + 5) - 1
The required equation that has no solution is given as,
(A) 2(x + 2) + 2 = 2(x + 3)+1
(B) 2x + 3(x + 5) = 5(x- 3)
(E) 5(x + 4) - x = 4(x + 5) - 1
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Among the equation which have no solutions, when simplifying the variable in the equation get canceled.
(A)
2(x + 2) + 2 = 2(x + 3)+1
Simplifying,
2x + 4 + 2 = 2x + 6 + 1
Isolating the variable terms,
2x -2x = 6 + 1 - 2 -4
0 = 7 - 6
That shows the equation 2(x + 2) + 2 = 2(x + 3)+1 has no solution.
Similarly, when all the equation simplifies. It is found that,
The equation that has no solution is given as,
(A) 2(x + 2) + 2 = 2(x + 3)+1
(B) 2x + 3(x + 5) = 5(x- 3)
(E) 5(x + 4) - x = 4(x + 5) - 1
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someone help asap. please
Answer:Slope intercept form=(y-y1)=m(x-x1) where m is slope
y-5=5-(-7)/-1-2(x-(-1) (m=y-y1/x-x1)
y-5=-4(x+1)
i am from india btw
Step-by-step explanation:
Answer:
y = -4x + 9
Step-by-step explanation:
y = mx + b
First, we will find 'm', aka slope,
([tex]y_{2}[/tex] - [tex]y_{1}[/tex]) / ([tex]x_{2}[/tex] - [tex]x_{1}[/tex]) = m
(-7 -5)/ (2 - (-1)) = m
-12/ 3 = m
∴ m = -4
Then we can substitute m = -4 and point 1 in y = mx + b to find 'b', aka y-intercept,
5 = -4 (-1) + b
5 = -4 + b
5 + 4 = b
∴ b = 9
Hence the equation is,
y = -4x + 9
How do you find 1/4 of a segment?
To find 1/4 of a segment, you would divide the length of the segment by 4. A segment is a part of a line, so it is a length of one dimension. When dividing by 4, the result will be a new length that is one-quarter of the original length.
To find 1/4 of a segment, first determine the length of the segment. This can be done by measuring the segment with a ruler or using the Pythagorean theorem to find the length of the segment if it is part of a triangle. Once the length of the segment is determined, divide that figure by 4. The resulting answer will be the length of 1/4 of the segment.
For example, if the length of a segment is 8 cm, dividing 8 by 4 will result in 2 cm, which is the length of 1/4 of that segment. It is easy to find 1/4 of a segment by dividing the length of the segment by 4. This will give you the length of 1/4 of the segment. Knowing the length of 1/4 of a segment can be useful when measuring and calculating distances between two points or for finding the area and perimeter of certain shapes.
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