Answer:
66
Step-by-step explanation:
Find the vertex:
![\textrm{Use the formula } \frac{-b}{2a} \textrm{ to find the vertex}\\ \\ \frac{-10}{2} = -5\\ \\ \textrm{In order to find the y value plug in -5 back into the function}\\ \\ y=(-5)^2+10(-5)+16\\ y=-9\\\\ \textrm{The vertex of the function is} (-5,-9)](https://tex.z-dn.net/?f=%5Ctextrm%7BUse%20the%20formula%20%7D%20%5Cfrac%7B-b%7D%7B2a%7D%20%5Ctextrm%7B%20to%20find%20the%20vertex%7D%5C%5C%20%5C%5C%20%5Cfrac%7B-10%7D%7B2%7D%20%3D%20-5%5C%5C%20%5C%5C%20%5Ctextrm%7BIn%20order%20to%20find%20the%20y%20value%20plug%20in%20-5%20back%20into%20the%20function%7D%5C%5C%20%5C%5C%20y%3D%28-5%29%5E2%2B10%28-5%29%2B16%5C%5C%20y%3D-9%5C%5C%5C%5C%20%5Ctextrm%7BThe%20vertex%20of%20the%20function%20is%7D%20%28-5%2C-9%29)
Determine if the parabola will open up or down:
![a > 0 \\ \\ 1>0](https://tex.z-dn.net/?f=a%20%3E%200%20%5C%5C%20%5C%5C%201%3E0)
Since the value of a is positive, the parabola will open upwards
Find the x and y intercepts:
Factor
to find the x intercepts
(x+8)(x+2)
x + 8 = 0
x = -8
x + 2 = 0
x = -2
x intercepts:
x = -2
x = -8
Find the y intercept
![y = 0^2+10(0) + 16\\\\ y=16](https://tex.z-dn.net/?f=y%20%3D%200%5E2%2B10%280%29%20%2B%2016%5C%5C%5C%5C%20y%3D16)
Hence, C. Graph A best represents the quadratic function ![y = x^2+10x + 16](https://tex.z-dn.net/?f=y%20%3D%20x%5E2%2B10x%20%2B%2016)
Answer:
answer is 45 trust me im passing this concept
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
Answer:
![of~the~hypotenuse = 6.](https://tex.z-dn.net/?f=of~the~hypotenuse%20%3D%206.)
Step-by-step explanation:
![by~\sqrt{2}:](https://tex.z-dn.net/?f=by~%5Csqrt%7B2%7D%3A)
![3\sqrt{2} *\sqrt{2}=3*2=6](https://tex.z-dn.net/?f=3%5Csqrt%7B2%7D%20%2A%5Csqrt%7B2%7D%3D3%2A2%3D6)
![Hope~this~helps!](https://tex.z-dn.net/?f=Hope~this~helps%21)