Answer:
C
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, so
scale factor =
=
=
→ C
(2x^2-x^2)= x^2
(1+7) = 8
X^2 + 8
Answer:
![x = 1.25](https://tex.z-dn.net/?f=x%20%3D%201.25)
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
Step-by-step explanation:
Given
![4x - 5y = 5](https://tex.z-dn.net/?f=4x%20-%205y%20%3D%205)
![0.08x + 0.10y = 0.10](https://tex.z-dn.net/?f=0.08x%20%2B%200.10y%20%3D%200.10)
Required
Determine the solution
Make x the subject of formula in: ![4x - 5y = 5](https://tex.z-dn.net/?f=4x%20-%205y%20%3D%205)
![4x = 5 + 5y](https://tex.z-dn.net/?f=4x%20%20%3D%205%20%2B%205y)
Divide both sides by 4
![\frac{4x}{4} = \frac{5 + 5y}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B4%7D%20%20%3D%20%5Cfrac%7B5%20%2B%205y%7D%7B4%7D)
![x = \frac{5 + 5y}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%2B%205y%7D%7B4%7D)
Substitute
in ![0.08x + 0.10y = 0.10](https://tex.z-dn.net/?f=0.08x%20%2B%200.10y%20%3D%200.10)
![0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10](https://tex.z-dn.net/?f=0.08%28%5Cfrac%7B5%20%2B%205y%7D%7B4%7D%29%20%2B%200.10y%20%3D%200.10)
Solve the fraction
![0.02(5 + 5y) + 0.10y = 0.10](https://tex.z-dn.net/?f=0.02%285%20%2B%205y%29%20%2B%200.10y%20%3D%200.10)
Open the bracket
![0.1 + 0.1y + 0.10y = 0.10](https://tex.z-dn.net/?f=0.1%20%2B%200.1y%20%2B%200.10y%20%3D%200.10)
![0.1 + 0.2y = 0.10](https://tex.z-dn.net/?f=0.1%20%2B%200.2y%20%3D%200.10)
Subtract 0.1 from both sides
![0.1-0.1 + 0.2y = 0.10 - 0.1](https://tex.z-dn.net/?f=0.1-0.1%20%2B%200.2y%20%3D%200.10%20-%200.1)
![0.2y = 0](https://tex.z-dn.net/?f=0.2y%20%3D%200)
Divide both sides by 0.2
![y =0](https://tex.z-dn.net/?f=y%20%3D0)
Substitute 0 for y in ![x = \frac{5 + 5y}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%2B%205y%7D%7B4%7D)
![x = \frac{5 + 5*0}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%2B%205%2A0%7D%7B4%7D)
![x = \frac{5 + 0}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%2B%200%7D%7B4%7D)
![x = \frac{5 }{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%7D%7B4%7D)
![x = 1.25](https://tex.z-dn.net/?f=x%20%3D%201.25)