6 square units is area of a triangle whose vertices are D(1, 1), E(3, −1), and F(4, 4)
What is triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given three vertices are D(1, 1), E(3, −1), and F(4, 4)
we need to find the area of triangle
Area of triangle=1/2|x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)|
x₁=1, x₂=3, x₃=4, y₁=1, y₂=-1, y₃=4
put in the formula
Area of triangle=1/2|1(-1-4)+3(4-1)+4(1-(-1))|
=1/2|-5+9+8)|
=1/2 |12|
=6 square units.
Hence 6 square units is area of a triangle whose vertices are D(1, 1), E(3, −1), and F(4, 4)
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Which property is demonstrated below?
a(b+c)=(a.b)+(a.c)
O Inverse property
O Distributive property
O Communitive property
O Identity property
( and 15 points for this and will make brainliest to best answer) Please be fast!
The property demonstrated by:
a(b+c)=(a.b)+(a.c)
Is the Distributive property
Which property is demonstrated below?Here we have the next expression:
a*(b + c) = (a*b) + (a*c)
So we have the product between a and the sum of b and c, is equal to the sum between the products of a and b, and a and c, so we "distributed" the product.
This property is called the "Distributive property".
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a triangle with a perimeter of 50 has side lengths x-1, 2x-3, and 3x "-6." what are the side lengths
The dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.
What exactly is the perimeter?Any closed shape's perimeter is just the total length of the its boundary.The perimeter of a shape is defined as the total length round the.It is the length of the outline or boundary of any two-dimensional geographic shape.The perimeters of different shape can be equal in size depending on the dimensions.For the given question,
The perimeter of the triangle is 50 units.
The three sides of the triangle is given as;
x-1, 2x-3, and 3x - 6The formula for finding the perimeter is;
Perimeter = sum of all sides.
Let 'P' be the perimeter of the triangle. Then,
P = x-1 + 2x-3 + 3x - 6
Simplifying.
P = x + 2x + 3x - 1 - 3 - 6
50 = 6x - 10
6x = 60
x = 10
For the measure of the side length, put x = 10 in the sides.
10-1 = 9 units2×10-3 = 17 units3×10 - 6 = 24 units.Thus, the dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.
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a group of friends is taking part in a two-day walking event for charity. yesterday, they walked 28 miles in 9 hours and 44 minutes. today, they finished the last 10 miles in 2 hours and 55 minutes. what was the group's average speed for the two-day event?
Average speed of the group for the two day event is 0.105 miles\min.
The average is defined as the mean value that is equal to the ratio of the total sum of the number of a given set of values to the total number of values present in that set.
Time taken on day 1 in minutes = 9x60 + 44
= 540 + 44 = 584 minutes.
Time taken on day 2 in minutes = 2x60 + 55
= 120 + 55 = 157 minutes
Now we will be applying speed-distance formula we get,
Speed= Distance/time
On day 1,
[tex]Speed_{1}[/tex]= 28/584 = 0.0479 miles/min
On day 2,
[tex]Speed_{2}[/tex]= 10/175 = 0.0571 miles/min
Thus,the average speed is:
Average = [tex]Speed_{1} + Speed_{2}[/tex] = 0.0479 + 0.0571= 0.105 miles/min
Hence,the average speed is 0.105 miles/min
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Rain fell at a rate of .25 inches per hour. Before the rain began, 6 inches had already fallen that month. At this rate, how much total rain will have fallen after 4 hours?
Answer:
y=.25x+6
Step-by-step explanation:
The numbered disks shown are placed in a boxand one disk is selected at random. Find theprobability of selecting an odd number, given that agreen disk is selected.Find the probability of selecting an odd number, given that a green disk is selected.(Type an integer or a simplified fraction.)
Given that the numbered disks are placed in a box, you need to find the probability of selecting an odd number, given that a green disk is selected.
Therefore, you need to use the Conditional Probability Formula:
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]In this case, let be "A" the event of selecting an odd number, and "B" the event of selecting a green disk.
You can identify that:
- There are a total of 8 disks.
- There are 4 green disks that have odd numbers.
- There are a total of 7 green disks.
Therefore, you can determine that:
[tex]P(A\cap B)=\frac{4}{8}=\frac{1}{2}[/tex]And:
[tex]P(B)=\frac{7}{8}[/tex]Then, you can substitute values into the formula and evaluate:
[tex]P(A|B)=\frac{\frac{1}{2}}{\frac{7}{8}}=\frac{1\cdot8}{2\cdot7}=\frac{8}{14}=\frac{4}{7}[/tex]Hence, the answer is:
[tex]\frac{4}{7}[/tex][tex]11/16 - 2/3[/tex]11/16 - 2/3=
-2x-7 > 1 or x - 2 ≥-1
The inequalities are solved below
What are inequalities?
A connection in mathematics that compares two numbers or other mathematical functions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. To indicate various sorts of inequalities, a variety of notations are employed. The following characteristics control inequalities. Any of these characteristics are also true if monotonic functions are restricted to strictly monotonic functions and all non-strict inequalities ( and ) are replaced by their equivalent strict inequalities ( and >). On each side of an inequality, a common constant c can be added to or removed from.
The inequalities are solved below
-2x-7>1 x-2≥-1
or, -2x>1+7 or, x≥-1+2
or, -x>8/2 or, x≥1
or, x<-4
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I really need help with this question
3) {(-7, 1), (2, -9), (-9, −4), (-1, -1), (-8, 0) }
Domain:
Range:
Ple help me with Problems 2 & 3 ASAP
2) w = 16.5 mis the equation represents the relationship shown in the table.
3) The number of minutes is proportional to the number of pages, with a unit rate of 2.25 minutes per page is the best statement describes the relationship in the table.
How is a proportion determined?When determining if two ratios or fractions are equivalent, the proportion formula is utilized. We can calculate the missing value by dividing the given values. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, a:b::c: d = a/b = c/d.
2) Divide the number of gallons of water with number of minutes
66/4 = 16.5
So, the equation represents the relationship shown in the table is
w = 16.5 m
3) Divide number of minutes by number of pages, we get
9/4 = 2.25
13.5/6 = 2.25
So, option (B) best describes the relationship in the table.
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When Felix started his paper route, he had 25 customers. Every second week he gained 2 new customers. Every third week he lost a customer. How many customers did he have in the seventh week? pls help
The number of customers he would have in the seventh week is 37.
How many customers would there by in the seventh week?The customers of Felix grow at a linear rate. A linear growth rate is when a value increases a constant rate. The customers would increase by 2 each week.
The linear equation that represents the number of customers in the seventh week:
Initial number of customers + [ rate of increase x (number of weeks - 1)]
25 + [2 x (7 - 1)]
25 + (2 x 6)
25 + 12 = 37
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If f(x)=−13, find x.
Select one:
a. −3
b. −27
c. −51
d. −72
Two or more expressions with an Equal sign is called as Equation. x=-3 for function f(x)=−13.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We know that f(x) = -13. This means that:
f(x)= -13 = 2x-7
-13= 2x-7
Now we all need to do is solve this equation. First add 7 to both sides
-13 + 7= 2x
-6=2x
Divide by 2 on both sides.
-6 ÷ 2= x
x= -3
Hence x=-3 for function f(x)=−13.
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PLEASE HELP ILL GIVE BRAINLIST ANYTHING PLEASE
n -3/8> -2/5
Answer:
n>-1/40
Step-by-step explanation:
Hope this helps!! (I promise...it's the right one)
Answer:
b) n > (-1/40)
Step-by-step explanation:
Given equation,
→ n - (3/8) > (-2/5)
Now the value of n will be,
→ n - (3/8) > (-2/5)
→ n > (-2/5) + (3/8)
→ n > (-16/40) + (15/40)
→ n > (-16 + 15)/40
→ [ n > (-1/40) ]
Hence, value of n is -1/40.
21. What are the modes of the following sets of numbers?
a. 3, 13, 6, 8, 10, 5, 6
b. 12, 0, 15, 15, 13, 19, 16, 13, 16, 16
Answer:
a. 6
b. 16
Step-by-step explanation:
a.
The mode is the number that appears the most
3 appears once
13 appears once
6 appears twice
8 appears once
10 appears once
5 appears once
Since 6 appears the most, it is the mode in this set of numbers
b.
Again, The mode is the number that appears the most
12 appears once
0 appears once
15 appears twice
13 appears twice
19 appears once
16 appears three times
Since 16 appears the most, it is the mode in this set of numbers
The correct answers are: [A]: "6 " ; and: [B]: " 16 ."
____________________
Step-by-step explanation:
The question asks to find the modes of the following sets of numbers:
Set a) "{3, 13, 6, 8, 10, 5, 6}."
Set b) "{12, 0, 15, 15, 13, 19, 16, 13, 16, 16}."
Note that the mode is the number that occurs most frequently within a data set.
To begin: let's find the mode of Set: a:
_____
First, let's list all the values within Set: a: in order of smallest to largest—to simplify matters:
→ " { 3, 5, 6, 6, 8, 10, 13 }."
In this data set, there is only one value that occurs more than once—
which is 6. As such, the mode of "Data Set: a" is 6 .
Then: To continue: let's find the mode of Set: b:
_____
Second, Let's list all the values within Set: b: in order of smallest to largest—again; to simplify matters:
→ " { 0, 12, 13, 13, 15, 15, 16, 16, 16, 19 } ."
In this data set, we see the following:
Each of the three values: 0, 12, and 19 appear only once;
13 and 15 individually, appear twice; and:
16 appears "three times".
As such:
The value, 16 appears the most in this data set; and:
→ The mode of "Data Set: b"—is 16.
_____
The correct answers are: [A]: "6 " ; and: [B]: " 16 ."
_____
Hope this is helpful to you!
If you have any questions—Please "comment" below!
_____
Which of the following is NOT an expression?
A
3x + 1
B
4x^2
2
- 6
C
5b
D
6y + 1z = 7x - 3w
Answer:
they are all expressions except D) 6y + 1z = 7x - 3w which is an equation, B
4x ^ 2
2
- 6 it is not known because it is poorly written.
Step-by-step explanation:
Which of the following is NOT an expression?
A 3x + 1 (expression)
B 4x^2 2- 6 (unknow)
C) 5b (expeession)
D) 6y + 1z = 7x - 3w (Equation)
1/3x - 7 = -8 what is x
Answer:
x = -3
Step-by-step explanation:
Add 7 to -8 = -1
1/3x = -1
Divide -1 by 1/3
x = -3
Answer:
x=-3
Step-by-step explanation:
Rewrite as x/3 -7 = -8Multiply the entire equation by 3 which results in : x -21 = -24Isolate the variable: x = -24 + 21Solve for x: x=-3Please help
graph x<2.
Answer:
Bottom right
Step-by-step explanation
Answer:
first answer is correct
Select all rational numbers.
All of the rational numbers that we have in the question that we have here are:
-√25√100√0.36√0.0144What is a rational number?This is the term that is used to refer to the ratio of two numbers that when they are expressed as a ratio of two different numbers, the denominator does not have to be 0.
The rational numbers when they are solved would not give us terminating decimals. That is they would be able to be expressed as fractions.
-√25 = -5
√0.0144 = 0.12
√0.36 = 0.6
√100 = 10
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-√25, √100, √0.36, and √0.0144n are the rational number. Options B, D, E, and F are correct.
As of the given data, numbers are given we have to determine which of the number are rational numbers.
Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.
Here,
All the numbers are irrational numbers except -√25, √100, √0.36, and √0.0144 because the number picked out is required rational number.
Thus, -√25, √100, √0.36, and √0.0144n are the rational number. Options B, D, E, and F are correct.
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answer these quick please!
Answer: The daily cost of production in a factory is calculated using
c(x) = 200 +16 x, where x is the number of complete products manufactured.
Complete products manufactured will can not be a decimal or fraction number.
The domain of function c(x) will be the set of values x can take.x will be a set of whole numbers. Whole numbers are positive numbers, including zero, without any decimal or fractional parts.
Option D) whole numbers is the right answer.
(4) f(1) = 3, f(n+1)=3f(n) - 2
Step-by-step explanation: I hope this helps.
Answer:
See attached worksheet
Step-by-step explanation:
ASAP PLEASE HELP *20 POINTS*
1.If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, what transformation occurs from f(x) to h(x)?
A.Shift left 3 units
B.Shift right 3 units
C.Shift up 3 units
D.Shift down 3 units
2. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the vertex affected? Select all that apply.
A.The vertex will not change.
B.The vertex will shift right 3 units.
C.The vertex will shift left 3 units.
D.The vertex will shift up 3 units.
E.The vertex will shift down 3 units.
F.The vertex will not move up or down.
G.The vertex will not move right or left.
3. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the range affected?
A.The range will not change.
B.The range will be all real numbers.
C.The range will change from y ≥ 0 to y ≥ -3.
D.The range will change from x ≥ 0 to x ≥ -3.
if the parent function f(x) = |x| is transformed to h(x) = |x| - 3,
1. The transformation occurs from f(x) to h(x) is D. Shift down 3 units
2. The vertex is affected by:
E. The vertex will shift down 3 unitsG. The vertex will not move right or left3. The range will C. change from y ≥ 0 to y ≥ -3.
What is transformation?This is an ordered movement of image or object as seen in geometry. The instance here the movement is done by the graph f(x) and h(x) as described.
The type of movement described is called translation.
What is the range?The range refers to the output of the graph and is typically the y direction.
The range here changed from the origin which is the initial vertex and included point y ≥ -3
It should be noted that the origin of the graph refers to the point y ≥ 0
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On Saturday, 108 people hiked around Lake E. Find the total distance walked by the group.Use the standard algorithm to solve.
(I’ll give brainyest)
Answer:
1655.64 miles
Step-by-step explanation:
because 108 people times 15.33 miles for all the total people would be 1655.64 miles
Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1
[tex]\frac{-1-\sqrt{2}}{3}[/tex] [tex]\frac{-1+\sqrt{2} }{3}[/tex]
The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9
How to determine the quadratic equation?From the question, the given parameters are:
Roots = (-1 - √2)/3 and (-1 + √2)/3
The quadratic equation is then calculated as
f(x) = The products of (x - roots)
Substitute the known values in the above equation
So, we have the following equation
[tex]f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})[/tex]
This gives
[tex]f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})[/tex]
Evaluate the products
[tex]f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})[/tex]
Evaluate the like terms
[tex]f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}[/tex]
So, we have
f(x) = x²+ 2/3x - 1/9
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what two numbers multiply to be -6 and add up to be -5
Answer: -2 and -3
Step-by-step explanation:
If the diameter of a circle is 20 , what is the area ?
the diameter of a circle is 20
The radius of circle is the half of the diameter of the circle :
Radius = Diamter/2
In the given question , we have Diameter = 20
So,
Radius = 20/2
Radius = 10
The expression for the radius 'r' of the circle is express as :
[tex]\text{ Area of Circle =}\Pi(radius)^2[/tex]Substitute the value of Radius r = 10 in the expression of the area of circle:
[tex]\begin{gathered} \text{ Area of Circle =}\Pi(radius)^2 \\ \text{ Area of Circle =}\Pi(10)^2 \\ \text{ Area of Circle =}3.14\times10\times10 \\ \text{ Area of Circle =}3.14\times100 \\ \text{ Area of Circle =}314 \end{gathered}[/tex]Area of the circle is 314
Answer : 314 unit square.
On the map, 0.1 inches represents
25 miles. If the real distance between
two cities is 112.5 miles, what is the
distance between their locations on
the map?
A. 0.45 in
B. 2 in
C. 0.2 in
D. 1 in
The distance between the two cities on the map is 0.45 inches , the correct option is (A) 0.45inches .
In the question ,
it is given that
the scale factor of the map is 25 miles = 0.1 inches
So, 1 mile = 0.1/25 inches
= 0.004 inches
So , on the map 1 mile is represented by 0.004 inches
Given that the real distance between the two cities is 112.5 miles
So , on the map 112.5 miles = 112.5*0.004 inches
= 0.45 inches
Therefore , the distance between the two cities on the map is 0.45 inches , the correct option is (A)0.45inches .
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What is the solution to the equation x\6 = 4\12?options:x = 2x = 6x = 4x = 1
SOLUTION
We want to solve the equation
[tex]\frac{x}{6}=\frac{4}{12}[/tex]cross multiplying, we have
[tex]\begin{gathered} 12\times x=6\times4 \\ 12x=24 \\ x=\frac{24}{12} \\ x=2 \end{gathered}[/tex]Hence the answer is x = 2, the first option
Complete the equation so that it has no solution 9(x-4)-5x=
Answer:
9(x-4)-5x=
open brackets
9x-36-5x=0
relate with similar expressions
note,when negative crosses the equal sign,it becomes positive
9x-5x=36
4x=36
x=9
(30 points) need help asap
Answer:
I don't know the value of X. The question says it's in question 2.
Step-by-step explanation:
Explanation on picture
The product of 3x^5 and 2x^4 is
Options:
1) 5x^9
2) 5x^20
3) 6x^9
4)6x^20
Answer:
6x^9
Step-by-step explanation:
Hello!
Multiply the like terms:
3 and 2x^5 and x^4Multiply3x^5 * 2x^43*2*x^5*x^46*x^(5 + 4)6x^9The correct answer is the 3rd option, 6x^9.
ASAP NEED HELP WILL GIVE BRAINLIEST
The value of the unknown angle x is 22 degrees.
How to find the angle x?SV is a parallel to RU.
RV is a transversal line that cut across the parallel lines SV and RU.
Therefore,
x = ∠V(alternate angles)
Alternate angles are congruent.
Hence,
∠V + 44 + 5x + 4 = 180 (sum of angles in a triangle)
x + 44 + 5x + 4 = 180
x + 5x + 48 = 180
6x + 48 = 180
6x = 180 - 48
6x = 132
divide both sides by 6
x = 132 /6
x = 22 degrees
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