Answer:
17.6
Step-by-step explanation:
The equation of a sphere centered at (h, j, k) with radius r is
... (x -h)² +(y -j)² +(z -k)² = r²
The sphere can have a radius no larger than the distance to the nearest octant boundary, one of x=0, y=0, or z=0. That is, the radius must be 3, so the equation is
... (x -3)² + (y -3)² + (z -6)² = 9
Given equation is ![y= 2x^2 + 8x - 5](https://tex.z-dn.net/?f=y%3D%202x%5E2%20%2B%208x%20-%205)
To find the x coordinate of vertex we use formula
![x=\frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%7D%7B2a%7D)
From the given equation a= 2, b= 8 and c= -5
Plug in all the values
![x=\frac{-8}{2*2}=-2](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-8%7D%7B2%2A2%7D%3D-2)
The x coordinate of vertex is x=-2
To find y coordinate of vertex we plug in -2 for x in the given equation
![y= 2x^2 + 8x - 5](https://tex.z-dn.net/?f=y%3D%202x%5E2%20%2B%208x%20-%205)
![y= 2(-2)^2 + 8(-2) - 5= 8-16-5=-13](https://tex.z-dn.net/?f=y%3D%202%28-2%29%5E2%20%2B%208%28-2%29%20-%205%3D%208-16-5%3D-13)
So vertex is (-2,-13)
Answer:
a. is equal.
Step-by-step explanation:
18+18 is 36 and 1+1 is 2. the other questions are not equal.
Hope this helps!