The Oldest rocks on Earth are about 4 x 10^9 years old. For which of these ages could this be an approximation?
A. 3,862,100,000 years
B. 3.849999999x10^9 years
C. 0.000000004 years
D.4,149,000,000 years
E.3.45x10^9 years
Answers
4149000000 is the approximation age of oldest rock. The precise amount is not known with certainty. Similar to proximity or approximately, the word "approximation" is derived from the Latin Proximus, which meaning "nearest."
What is approximation age?The precise amount is not known with certainty. Similar to proximity or approximately, the word "approximation" is derived from the Latin Proximus, which meaning "nearest." The closest estimate you can make without knowing something's exact size or measurement is called an approximation.
Despite the fact that approximation is most usually used in relation to numbers, it is also regularly used in relation to mathematical functions, forms, and physical laws. In science, the term "approximation" can refer to using a less complex method or model when the proper one is challenging to use.
For this, sampling techniques like Markov chain Monte Carlo and significance sampling as well as variationally methods like mean-field approximations and assumed density filtering have been used.
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Related Questions
the line that passes through point (-1,4) and point (6,y) has a slope of 5/7. find y.
Answers
Question: the line that passes through the point (-1,4) and point (6,y) has a slope of 5/7. find y.
Solution:
By definition, the slope of a line is given by the formula:
[tex]m\text{ = }\frac{Y2-Y1}{X2-X1}[/tex]where m is the slope of the line and (X1,Y1), (X2,Y2) are any two points on the line. In this case, we have that:
(X1,Y1) = (-1,4)
(X2,Y2) = (6,y)
m = 5/7
thus, replacing the above data into the slope equation, we get:
[tex]\frac{5}{7}\text{= }\frac{y-4}{6+1}\text{ }[/tex]
this is equivalent to:
[tex]\frac{5}{7}\text{= }\frac{y-4}{7}\text{ }[/tex]By cross-multiplication, this is equivalent to:
[tex]\text{5 = y-4}[/tex]solving for y, we get:
[tex]y\text{ = 5+ 4 = 9}[/tex]then, we can conclude that the correct answer is:
[tex]y\text{ =9}[/tex]309+23143240-59234881
Answers
Given data:
The given numbers are 309+23143240-59234881.
The simplification of the given numbers is,
-36091332.
segment C prime D prime has endpoints located at C′(0, 0) and D′(4, 0). It was dilated at a scale factor of one half from center (4, 0). Which statement describes the pre-image?A-segment CD is located at C(2, 0) and D(6, 0) and is half the length of segment C prime D prime periodB- segment CD is located at C(2, 0) and D(6, 0) and is twice the length of segment C prime D prime periodC- segment CD is located at C(−4, 0) and D(4, 0) and is twice the length of segment C prime D prime periodD-segment CD is located at C(−4, 0) and D(4, 0) and is half the length of segment C prime D prime period
Answers
Segment C prime D prime has endpoints located at C′(0, 0) and D′(4, 0). It was dilated at a scale factor of one half from centre (4, 0). the pre-image
B- segment CD is located at C(2, 0) and D(6, 0) and is twice the length of segment C prime D prime period
According to the question,
Segment C prime D prime has endpoints located at C' (0, 0) and D' (2, 0).
The coordinates are given as:
C' (0, 0) and D' (4, 0).
Since,
Centre of dilation = D = (4,0)
Here, CD seems to be the dilated image of CD by something like a factor of two. It follows that M must have been at (0,0).
It's one-half units left from the centre of dilated.
Then, C` = 1/2 x 4 = 2
Since the dilation is (4, 0),
C = (2+4, 0) = (6,0)
Hence,
segment CD is located at C(2, 0) and D(6, 0) and is twice the length of segment C prime D prime period
What is segment?Segment simplifies data collection and integrates new tools, allowing you to spend more time using data and less time collecting it. A segment allows you to track events that occur when a user interacts with user interfaces. "Interfaces" is the segment's umbrella term for all the digital real estate you own: your website, mobile apps and processes running on a server or OTT device.
When you capture interaction data in a segment, you can send it (often in real time) to your marketing, product and analytics tools and data warehouses. In most cases, you don't even need to touch the tracking code to connect to the new tools.
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which statement is true?
Answers
This is the graph of the function
The answer is (8,0)
The Oakdale Chamber of Commerce compared the local dealerships' vehicle sales.
Dealership
Truck Town
Affordable Cars
Other
0
100
Vehicle sales
200
300
400
500
Number of vehicles
What percent of the vehicles were sold by Truck Town or Affordable Cars?
Write your answer using a percent sign (%).
Answers
(Sold / Quantity) * 100 is the formula to get the sales percentage.In other words, it will divide the value before multiplying by 100.You won't need to rewrite the formula for different products.
What is the sales percentage?
Example of a percentage of sales from an image Based on historical and current sales data, the percentage of sales technique is a forecasting tool that generates financial projections.This information includes sales as well as all costs associated with running a firm, such as inventory and cost of goods.The typical business allocates between 1% and 40% of its gross revenue to marketing and advertising.The amount can, however, differ greatly based on a variety of variables, such as your product or service, the market and competition, your profit margin, and the number of years you've been in operation. By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage.The percentage calculation formula is (value/total value)100%.
Determine the ratio of sales to expenses.Examine the balance of each line item on the financial statement of your business and determine its proportion to total sales.To accomplish this, take the following actions:Calculate your period's expenses and total sales.Subtract your costs from your total sales.Add 100 to your result.Vehicle sales = 200+300+400+500
= 1400/100
=14%
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LM is a perpendicular bisector of NP. The length of LN is 12w + 7, and rhe length of LP is 15w - 5. What is the length of LN?(every capital letter has a line over it and i cant add that. Ex. There would be a line over LP. Because its a line. But i dont know to do that so im adding this!)
Answers
LN = LP
So, we can say:
12w + 7 = 15w - 5
Solving for w,
7 + 5 = 15w - 12w
12 = 3w
w = 12/3
w = 4
Length of LN is 12w + 7
plug in w = 4 to get:
12 (4) + 7
48 + 7 = 55
Length of LN is 55
translate the following verbal statement into an algebraic equation and then solve: demetrius paid 9$ for a matinee movie. this is 1$ less than the price in the evening what is the price of the movie at night?use x for your variable equation ________x=______
Answers
Answer:
x = price of the movie at night
x = $9 + $1
Explanation:
We need to find the price of the movie at night, so, let's call x the price of the movie at night.
Then, the price of the matinee movie $9 is $1 less than the price in the evening. Therefore, we can write the following equation:
9 = x - 1
Solving for x, we get:
x = 9 + 1
Erica paid a self employment tax last year. she calculated the self-employment tax for different amounts of net earnings and recorded them in a table shown . Which function describes the relationship between X ,amount of net earrings and y ,the self- employment.
Answers
Answer:
[tex]y=\frac{153}{1,000}x[/tex]Step by step explanation:
Linear functions represent situations that have a constant rate of change, and they are represented by:
[tex]\begin{gathered} y=kx \\ \text{where,} \\ k\text{ is the constant rate of change} \end{gathered}[/tex]We can calculate the constant rate of change with the following formula:
[tex]\begin{gathered} k=\frac{\Delta y}{\Delta x} \\ k=\frac{2,295}{15,000} \\ k=\frac{153}{1,000} \end{gathered}[/tex]Then, the function that describes the relationship between x, the number of net earnings, and y, the self-employment tax would be:
[tex]y=\frac{153}{1,000}x[/tex]the smallest four digit number that can be formed using 5, 6, 3, 0 is
Answers
Answer:
3056 can be be formed as the smallest four digit number
15) If x and y satisfy both 9x + 2y = 8 and 7x + 2y = 4, then y =? * Hint: Use the elimination method to solve this system of equations
Answers
For the information given in the statement you have
[tex]\begin{cases}9x+2y=8\text{ (1)} \\ 7x+2y=4\text{ (2)}\end{cases}[/tex]Using the elimination method, multiply by -1 the equation (2) and then add the equations to eliminate one of the variables
[tex]\begin{cases}9x+2y=8\text{ (1)} \\ 7x+2y=4\text{ (2)}\cdot-1\end{cases}[/tex][tex]\begin{gathered} \begin{cases}9x+2y=8\text{ (1)} \\ -7x-2y=-4\text{ (2)}\end{cases} \\ ------------- \\ 2x+0y=4 \\ 2x=4 \\ \text{ Divide by 2 on both sides of the equation} \\ \frac{2x}{2}=\frac{4}{2} \\ x=2 \end{gathered}[/tex]Now plug the value of x found into any of the initial equations to find the value of y. For example in equation (1)
[tex]\begin{gathered} 9x+2y=8 \\ 9(2)+2y=8 \\ 18+2y=8 \\ \text{ Subtract 18 on both sides of the equation} \\ 18+2y-18=8-18 \\ 2y=-10 \\ \text{ Divide by 2 on both sides of the equation} \\ \frac{2y}{2}=\frac{-10}{2} \\ y=-5 \end{gathered}[/tex]Therefore, the solutions of the system of equations are
[tex]\begin{cases}x=2 \\ y=-5\end{cases}[/tex]For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given value. r= 6.45 in, θ= 5 pi\6, s=?
Answers
Calculate the arc length by using the following formula:
[tex]s=r\theta[/tex]Replace the values of r and θ and simplify:
[tex]\begin{gathered} s=(6.45in)(5\frac{\pi}{6})=(6.45)(\frac{5}{6})(3.14) \\ s=16.8775in \end{gathered}[/tex]Hence, the arc length is 16.8775 in
Find an equation for the line that passes through the points (1, -3) and (-5,5).=X$?
Answers
To answer this question we will use the following two-point formula for the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1).[/tex]Therefore the equation of the line that passes through the points (1, -3) and (-5,5) is:
[tex]y-(-3)=\frac{5-(-3)}{-5-1}(x-1).[/tex]Simplifying the above result we get:
[tex]\begin{gathered} y+3=\frac{8}{-6}(x-1), \\ y+3=-\frac{4}{3}x+\frac{4}{3}. \end{gathered}[/tex]Subtracting 3 from the above result we get:
[tex]\begin{gathered} y+3-3=-\frac{4}{3}x+\frac{4}{3}-3. \\ y=-\frac{4}{3}x-\frac{5}{3}. \end{gathered}[/tex]Answer:
[tex]y=-\frac{4}{3}x-\frac{5}{3}.[/tex]The Max or Min can be found by using the line of symmetry. That line of symmetry can be found by finding the midpoint of the two x-intercepts.Since the line of symmetry is x =-1 Write the function rule to find the coordinate to the minimum of this parabola.[tex]f (x) = (x - 2)(x + 4)[/tex]your answer should be in the form (_,_)
Answers
We know that, for a parabola, the minimum, or the maximum, is given by the vertex of the parabola. The formula for the vertex of the parabola is given by:
[tex]x_v=-\frac{b}{2a},y_v=c-\frac{b^2}{4a}[/tex]And we have the coordinates for x and y for the vertex.
We can see that the line of symmetry is x = -1, and this is the same value for the value of the vertex for x-coordinate, that is, the x-coordinate is equal to x = -1.
With this value for x, we can find the y-coordinate using the given equation of the parabola:
[tex]f(x)=(x-2)\cdot(x+4)\Rightarrow f(-1)=(-1-2)\cdot(-1+4)\Rightarrow f(-1)=(-3)\cdot(3)[/tex]We can also expand these two factors, and we will get the same result:
[tex]f(x)=(x-2)\cdot(x+4)=x^2+2x-8=(-1)^2+2\cdot(-1)-8=1-2-8=-1-8=-9[/tex]Therefore, the value for the y-coordinate (the value for the y-coordinate of the parabola, which is, at the same time, the minimum point for y of the parabola) is:
[tex]f(-1)=(-3)\cdot(3)\Rightarrow f(-1)=-9[/tex]The minimum point of the parabola is (-1, -9) (answer), and we used the given function (rule) to find the value of the y-coordinate.
We can check these two values using the formula for the vertex of the parabola as follows:
[tex]f(x)=(x-2)\cdot(x+4)=x^2+2x-8[/tex]Then, a = 1 (it is positive so the parabola has a minimum), b = 2, and c = -8.
Hence, we have (for the value of the x-coordinate, which is, at the same time, the value for the axis of symmetry in this case):
[tex]x_v=-\frac{2}{2\cdot1}\Rightarrow x_v=-1[/tex]And for the value of the y-coordinate, we have:
[tex]y_v=c-\frac{b^2}{4a}\Rightarrow y_v=-8-\frac{2^2}{4\cdot1}=-8-\frac{4}{4}=-8-1\Rightarrow y_v=-9[/tex]
#2 Funding the perimeter and area of the composite figure.
Answers
1)
We can find the circumference using the formula
[tex]C=2\pi r[/tex]but remember that the diameter is 2 times the radius
[tex]d=2r[/tex]So we can use the formula using radius or diameter, the problem gives us the diameter, so let's use it, so the formula will change a little bit
[tex]C=\pi d[/tex]Where "d" is the diameter.
d = 40 yd, and π = 3.14, so the circumference will be
[tex]\begin{gathered} C=\pi d \\ C=3.14\cdot40=125.6\text{ yd} \end{gathered}[/tex]And to find out the area we can use this formula
[tex]A=\frac{\pi d^2}{4}[/tex]Or if you prefer use the radius
[tex]A=\pi r^2[/tex]Let's use the formula with the diameter again
[tex]\begin{gathered} A=\frac{\pi d^2}{4} \\ \\ A=\frac{3.14\cdot(40)^2}{4} \\ \\ A=1256\text{ yd}^2 \end{gathered}[/tex]Then the circumference is 125.6 yd and the area is 1256 yd^2
2)
Here we have a compounded figure, we have half of a circle and a triangle, so let's think about how we get the perimeter and the area.
The perimeter will be the sum of the sides of the triangle and half of a circumference, we already know the length of the triangle's side, it's 10.82, we got to find the half of a circle circumference and then sum with the sides.
We know that
[tex]C=\pi d[/tex]And we can see in the figure that d = 12 mm, then
[tex]C=\pi d=3.14\cdot12=37.68\text{ mm}[/tex]But that's a full circumference, we just want half of it, so let's divide it by 2.
[tex]\frac{C}{2}=\frac{37.68}{2}=18.84\text{ mm}[/tex]Now we have half of a circumference we can approximate the perimeter of the figure, it will be
[tex]\begin{gathered} P=10.82+10.82+18.84 \\ \\ P=40.48\text{ mm} \end{gathered}[/tex]The area will be the area of the triangle sum the area of half of a circle
Then let's find the triangle's area first
[tex]A_{}=\frac{b\cdot h}{2}[/tex]The base "b" will be the diameter of the circle, and the height "h" will be 9 mm, then
[tex]A_{}=\frac{12\cdot9}{2}=54\text{ mm}^2[/tex]And the half of a circle's area will be
[tex]A=\frac{1}{2}\cdot\frac{\pi d^2}{4}=\frac{3.14\cdot(12)^2}{8}=$$56.52$$\text{ mm}^2[/tex]Then the total area will be
[tex]A_T=56.52+54=110.52\text{ mm}^2[/tex]Therefore, the perimeter and the area is
[tex]\begin{gathered} P=40.48\text{ mm} \\ \\ A=110.52\text{ mm}^2 \end{gathered}[/tex]Theoretical Probabilities. Use the theoretical method to determine the probability ofthe following outcomes and events. State any assumptions that you make. Drawing a king from a standard deck of cards
Answers
Recall that the theoretical probability that an event occurs is given by the following quotient:
[tex]\frac{\text{favorable cases}}{total\text{ cases}}.[/tex]We know that in a standard deck there are 52 cards from which 4 are kings, therefore:
[tex]\text{Probability of drawing a king=}\frac{4}{52}.[/tex]Answer:
[tex]\frac{4}{52}\text{.}[/tex]I really need help on this and I would really appreciate if anyone would want to help me please and thank you.
Answers
Given the equation of the parabola:
[tex]y=x^2+6x-12[/tex]To find the vertex of the parabola,
we will substitute with the value (-b/2a) into the function y
[tex]\begin{gathered} a=1 \\ b=6 \\ c=-12 \\ \\ x=-\frac{b}{2a}=-\frac{6}{2\cdot1}=-3 \\ y=(-3)^2+6\cdot-3-12=9-18-12=-21 \end{gathered}[/tex]so, the coordiantes of the vertex :
x = -3
y = -21
What is the solution to the equation?
-6 = x/8
Enter your answer in the box.
X =
Answers
Answer:
-48
Step-by-step explanation:
First, you multiple the fraction by the denominator, which is 8. You multiple both sides of the equation by 8. -6*8=-48. x/8 * 8 = x. In conclusion, -48 = x or x = -48.
The length of a rectangular pool is 6 meters less than twice the width. If the pools perimeter is 84 meters, what is the width? A) Write Equation to model the problem (Use X to represent the width of the pool) B) Solve the equation to find the width of the pool (include the units)
Answers
I have a problem with the perimeter of a pool expressed in an unknown which corresponds to "x"
The first thing to do is to pose the corresponding equation, this corresponds to section A of the question
For the length, we have a representation of twice the width minus 6, i.e. 2x-6
For the width we simply have x
Remember that the sum of all the sides is equal to the perimeter which is 84, However, we must remember that in a rectangle we have 4 sides where there are two pairs of parallel sides, so we must multiply the length and width by 2
Now we can represent this as an equation
[tex]2(2x-6)+2x=84[/tex]This is the answer A
Now let's solve the equation for part B.
[tex]\begin{gathered} 2(2x-6)+2x=84 \\ 4x-12+2x=84 \\ 6x=84+12 \\ x=\frac{96}{6} \end{gathered}[/tex][tex]x=16[/tex]In conclusion, the width of the pool is 16
Please help nobody knows the answer to my question. Round to 2 decimal places.
Answers
To answer this question we will use the z-score.
Recall that the z-score is given as follows:
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma}, \\ \text{where x is the observed value, }\mu\text{ is the mean, and }\sigma\text{ is the standard deviation.} \end{gathered}[/tex]The z-score of 54 is:
[tex]z=\frac{54-50}{5}=\frac{4}{5}=0.8.[/tex]The z-score of 56 is:
[tex]z=\frac{56-50}{4}=\frac{6}{5}=1.2.[/tex]Now, the probability of flipping 54, 55, or 56 heads is the same as the following probability:
[tex]P(0.8Now, recall, that:[tex]P(aNow, from the given table we get that:[tex]\begin{gathered} P(0.8)=0.7881, \\ P(1.2)=0.8849. \end{gathered}[/tex]Therefore:
[tex]\begin{gathered} P(0.8Answer: 0.10.fill in the table using the function rule y= 6x-3
Answers
Answer:
-9,-3,3,27
Step-by-step explanation:
Just multiply x by 6 and subtract 3 to that
A friend plans to purchase a 72-inch tv at a particular store for a cost of $1500. The store is offering 25% off any one item. He also has an internet coupon for an additional 10% off any discounted price. How much will your friend save (a) in dollar amount and (b) in percent?
Answers
the The Solution.
The marked price of the 72-inch TV = $1500
25% discount makes the actual discount to be:
[tex]\begin{gathered} \text{Actual Discount = 25 \% of 1500} \\ \text{ = }\frac{25}{100}\times1500=\text{ \$375} \end{gathered}[/tex]So, the discounted price will now be
Discounted price = 1500 - 375 = $1125
He has an additional 10% internet coupon discount on already dicounted price ($1125) .
[tex]\begin{gathered} \text{Additional discount = 10\% of 1125} \\ \text{ =}\frac{10}{100}\times1125=\text{ \$112.50} \end{gathered}[/tex]a. The friend will save
[tex]\begin{gathered} 375+112.50 \\ =\text{ \$487.50} \end{gathered}[/tex]b. in percentage, he saved
[tex]\frac{487.5}{1500}\times100=32.5\text{ \%}[/tex]Therefore, the correct answers are:
a. $487.50
b. 32.5%
To get the variable r alone on one side of the equation below, Amy multiplied both sides of the equation by 4. is she correct? Explain why or why not. Solve the equation. 4r = 124
Answers
Given the equation
4r=124
You have to clear the value of r, this is, that r ends up alone in one side of the equation and the rest of the terms of the equation stay in the other side.
As you can see r is being multiplied by 4, to nullify this multiplication you have to "reverse the operation" that is, divide it by four.
And for the equality to continue, every operation made in one side of the equation has to be done in the other side, this means that if you divide 4r by 4, you have to divide 12
16 ftTo the nearest tenth, what is the height of the triangle?A. 9 feetB. 14.4 feetC. 17.5 feetD. 23 feethB7 ftС
Answers
In the right triangle, there is a relation between the 2 legs of the right angle and the hypotenuse (the opposite side to the right angle)
[tex](hypotenuse)^2=(leg1)^2+(leg2)^2[/tex]From the given figure
∵ leg1 = 7 ft
∵ leg2 = h ft
∵ hypotenuse = 16 ft
→ Substitute them in the rule above to find h
[tex](16)^2=(7)^2+h^2[/tex]∵ 16^2 = 256 and 7^2 = 49
[tex]\therefore256=49+h^2[/tex]→ Subtract 49 from both sides
[tex]\begin{gathered} 256-49=49-49+h^2 \\ 207=h^2 \end{gathered}[/tex]→ Take square root for both sides to find h
[tex]\begin{gathered} \therefore\sqrt[]{207}=\sqrt[]{h^2} \\ 14.38749=h \end{gathered}[/tex]→ Round it to the nearest tenth
∴ h = 14.4 feet
The answer is B
Which function is the result of vertically stretching ƒ(x) = x2 by a factor of 2 and translating it 4 units upward?Question 8 options:A) y = –4x2 + 2B) y = 2x2 + 4C) y = 2x2 – 4D) y = 4x2 + 2
Answers
To find the result function,
First stretch it, multiplying it by the factor we want to stretch.
So f(x) = x²
Stretching the function by a factor of 2:
g(x) = 2* f(x)
g(x) = 2* x²
On the other hand, to translate a function 4 units upward, we need to sum it to the function, so the result function is:
g(x) = 2x² + 4
The answer is option B.
Mrs barker wants to tile her washroom floor. The area of the washroom floor is 6.75 square metres. She determines that she will use 300 square tiles. What are the dimensions of the tiles, in centimetres?
Answers
ANSWER
15 centimeters
EXPLANATION
First, we have to find the area of the washroom floor in square centimeters, by multiplying the area in square meters by 10,000 or, in other words, moving the decimal point 4 units to the right,
[tex]6.75m^2=6.75\times10,000cm^2=67,500cm^2[/tex]Now, we know that Mrs. Barker will use 300 square tiles, so the area of each tile must be,
[tex]A_{tile}=\frac{A_{floor}}{number\text{ }of\text{ }tiles}=\frac{67,500cm^2}{300}=225cm^2[/tex]Thus, if the tiles are squared, the side length of each tile is the square root of the area of each tile,
[tex]s=\sqrt{A_{tile}}=\sqrt{225cm^2}=15cm[/tex]Hence, the side length of each tile is 15 cm.
) - At a farming supply store 7 pounds of seed cost $141.96. If a farmer needed 4 pounds ofseeds, how much would it cost him?
Answers
Hello
From the question, we know that 7 pounds of the seeds cost $141.96.
4 pounds would be assumed to be x and we can solve for x.
[tex]\begin{gathered} 7\text{ pounds = 141.96} \\ 4\text{ pounds = x} \end{gathered}[/tex]Cross multiply both sides.
[tex]\begin{gathered} 7\times x=4\times141.96 \\ 7x=567.84 \end{gathered}[/tex]Divide both sides by the coefficient of x
[tex]\begin{gathered} 7x=567.84 \\ \frac{7x}{7}=\frac{567.84}{7} \\ x=81.12 \end{gathered}[/tex]From the calculation above, the cost of 4 pounds of the seeds is equal to $81.12
What is the coordinate of the midpoint of S the midpoint of ST write your answer as an integer or a decimal or mixed number in simple Form.
Answers
We have a segment ST in a number line.
We can calculate the midpoint M as the average of the position of the endpoints S and T.
The position of S is 11 and the position of T is 13, so the midpoint will be:
[tex]M=\frac{S+T}{2}=\frac{11+13}{2}=\frac{24}{2}=12[/tex]Answer: the midpoint is 12.
Which angles are adjacent and do NOT form a linear pair?
Answers
Adjacent angles share a common side and a common vertex but do not overlap each other.
A linear pair is two adjacent angles that creat a straight line, thus adjacent angles which do not form a linear pair could be:
[tex]\angle2\text{ and }\angle3[/tex]i inserted a picture of the question can you please list the answers as well
Answers
Solution
We want to find the equation of the line given in the graph
We can see the four points on the graph where the line pass through
The points are
[tex](4,4),(2,3),(0,2),(-4,0)[/tex]We first obtain the slope (m)
The formula for finding the slope is given as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Using the points (0,2) and (-4,0) (indeed we can pick any two points, we will still obtain the same answer)
Here
[tex]\begin{gathered} x_1=0 \\ y_1=2 \\ x_2=-4 \\ y_2=0 \end{gathered}[/tex][tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0-2}{-4-0} \\ m=\frac{2}{4} \\ m=\frac{1}{2} \\ m=0.5 \end{gathered}[/tex]We can use any of the points above to find the equation
Equation of a line is given by
[tex]y-y_1=m(x-x_1)[/tex]Using (4,4)
[tex]y-4=0.5(x-4)[/tex]Option D is correct
Using (2,3)
Plot the point (3,3)
Answers
Step-by-step explanation:
Plot the point (3,3):
this means where x = 3 and y = 3
Answer:
