Answer:
the answer is 10500
Step-by-step explanation:
Your Answer Is C)
I mean like Come on how do you not know this?
Yeah and give me brainliest i need it
Answer:
dont know maybe someone else can help u
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Step-by-step explanation:
Find the values of x and y to determine how many solutions.
Use the elimination method. Add both of the equations.
<u>Sum:</u>
<u />![3y=-1](https://tex.z-dn.net/?f=3y%3D-1)
<u>Divide each side by 3:</u>
<u />![\boxed{y=-\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D-%5Cfrac%7B1%7D%7B3%7D%7D)
<u />
<u>Substitute y = -(1/3) into the first equation:</u>
<u />![-5x+6(-\frac{1}{3})=-2](https://tex.z-dn.net/?f=-5x%2B6%28-%5Cfrac%7B1%7D%7B3%7D%29%3D-2)
<u>Multiply:</u>
<u />![-5x-2=-2](https://tex.z-dn.net/?f=-5x-2%3D-2)
<u>Add 2 to both sides:</u>
-5x = 0
We can determine:
![\boxed{x=0}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D0%7D)
(0, -1/3)
The system of equations have 1 solution.
<u />
Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).
![d'\propto d](https://tex.z-dn.net/?f=d%27%5Cpropto%20d)
![d'=kd](https://tex.z-dn.net/?f=d%27%3Dkd)
![\dfrac{d'}{d}=k](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%27%7D%7Bd%7D%3Dk)
Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is
![k=\dfrac{OB'}{OB}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7BOB%27%7D%7BOB%7D)
![k=\dfrac{36}{16}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B36%7D%7B16%7D)
![k=\dfrac{9}{4}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B9%7D%7B4%7D)
We know that,
![k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B%5Ctext%7BSide%20length%20of%20image%7D%7D%7B%5Ctext%7BCorresponding%20side%20length%20of%20original%20figure%7D%7D)
![\dfrac{9}{4}=\dfrac{A'C'}{AC}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B4%7D%3D%5Cdfrac%7BA%27C%27%7D%7BAC%7D)
![\dfrac{9}{4}=\dfrac{27}{y}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B4%7D%3D%5Cdfrac%7B27%7D%7By%7D)
![9\times y=27\times 4](https://tex.z-dn.net/?f=9%5Ctimes%20y%3D27%5Ctimes%204)
Divide both sides by 9.
![y=\dfrac{27\times 4}{9}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B27%5Ctimes%204%7D%7B9%7D)
![y=3\times 4](https://tex.z-dn.net/?f=y%3D3%5Ctimes%204)
![y=12](https://tex.z-dn.net/?f=y%3D12)
Therefore, the value of y is 12.