Answer:
B
Step-by-step explanation:
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Answer:
Step-by-step explanation:
∠A + ∠B = 90 {∠A & ∠B are complementary}
x + 16 + x - 12 = 90
x + x + 16 - 12 = 90 {Combine like terms}
2x + 4 = 90 { Subtract 4 form both sides}
2x = 90 - 4
2x = 86 {divide both sides by 2
x = 86/2
x = 43
Alright, lets get started.
![y = x^2 + 14 x - 40](https://tex.z-dn.net/?f=%20y%20%3D%20x%5E2%20%2B%2014%20x%20-%2040%20)
For making complete square, we will add and subtract 49 in this
![y = x^2 + 14 x - 40 + 49 - 49](https://tex.z-dn.net/?f=%20y%20%3D%20x%5E2%20%2B%2014%20x%20-%2040%20%2B%2049%20-%2049%20)
![y = x^2 + 14 x + 49 -40 - 49](https://tex.z-dn.net/?f=%20y%20%3D%20x%5E2%20%2B%2014%20x%20%2B%2049%20-40%20-%2049%20)
![y = (x+7)^2 - 40 - 49](https://tex.z-dn.net/?f=%20y%20%3D%20%28x%2B7%29%5E2%20-%2040%20-%2049%20)
![y = (x+7)^2 - 89](https://tex.z-dn.net/?f=%20y%20%3D%20%28x%2B7%29%5E2%20-%2089%20)
Comparing the standard equation of parabola
where (h,k) are vertex
So, comparing the equation with standard one, h, k would be = (-7 , -89)
So, the vertex are (-7 , -89) : Answer
Hope it will help :)