Answer:
Option C (1, 0)
Step-by-step explanation:
We have a system with the following equations:
![y = x ^ 2-1\\\\y = 2x-2](https://tex.z-dn.net/?f=y%20%3D%20x%20%5E%202-1%5C%5C%5C%5Cy%20%3D%202x-2)
The first equation is a parabola.
The second equation is a straight line
To solve the system, substitute the second equation in the first and solve for x.
![2x-2 = x ^ 2 -1](https://tex.z-dn.net/?f=2x-2%20%3D%20x%20%5E%202%20-1)
Simplify
![x ^ 2-2x + 1 = 0](https://tex.z-dn.net/?f=x%20%5E%202-2x%20%2B%201%20%3D%200)
You must search for two numbers that when you add them, obtain as a result -2 and multiplying both results in 1.
These numbers are -1 and -1
Therefore
![x ^ 2-2x + 1= (x-1)(x-1)\\\\x ^ 2-2x + 1= (x-1)^2=0](https://tex.z-dn.net/?f=x%20%5E%202-2x%20%2B%201%3D%20%28x-1%29%28x-1%29%5C%5C%5C%5Cx%20%5E%202-2x%20%2B%201%3D%20%28x-1%29%5E2%3D0)
Finally the solutions are
![x = 1\\y =0](https://tex.z-dn.net/?f=x%20%3D%201%5C%5Cy%20%3D0)
Answer:
27°
Step-by-step explanation:
XWY and VWY are supplementary
∴ XWY + VWY = 180°
∴ XWY = 180° - VWY
XYW and ZYW are supplementary
∴ XYW + ZYW = 180°
∴ XYW = 180° - ZYW
ΔXWY is a right triangle at X
∴ XWY + XYW = 90°
∴ 180° - VWY + 180° - ZYW = 90°
∴ 180° - 6x + 180° - 4x = 90°
∴ 360° - 10x = 90°
∴ 10x = 270°
∴ x = 27°
Answer:
156cm^3
Step-by-step explanation:
V= 1/2 a*c*h
a=3
c=8
h=13
3*8*13=312
312/2=156