Step-by-step explanation: You have to substitute the numbers in for x & y
(0, -5): YES
3x - 4y - 8 = 12
3(0) - 4(-5) - 8 = 12
0 + 20 - 8 = 12
20 - 8 = 12
12 = 12
(4, -2): YES
3x - 4y - 8 = 12
3(4) - 4(-2) - 8 = 12
12 + 8 - 8 = 12
20 - 8 = 12
12 = 12
(8, 2): NO
3x - 4y - 8 = 12
3(8) - 4(2) = 12
24 - 8 = 12
16 = 12
(-16, -17): YES
3x - 4y - 8 = 12
3(-16) - 4(-17) - 8 = 12
-48 + 68 - 8 = 12
20 - 8 = 12
12 = 12
(-1, -8): NO
3x - 4y - 8 = 12
3(-1) - 4(-8) = 12
-3 + 32 = 12
29 = 12
(-40, -34): NO
3x - 4y - 8 = 12
3(-40) - 4(-34) - 8 = 12
-120 + 136 - 8 = 12
16 - 8 = 12
8 = 12
Hope this help you!!! :)
Answer:
Hence, the sphere has a radius of 
and is centered at the point (1,-1,1)
Step-by-step explanation:
We have the equation
We have to take into account the relation between coordinates
by substituting we have:
![\rho=2[\frac{x}{\rho}-\frac{y}{\rho}+\frac{z}{\rho}]\\\\\rho^2=2x-2y+2z\\\\x^2+y^2+z^2=2x-2y+2z](https://tex.z-dn.net/?f=%5Crho%3D2%5B%5Cfrac%7Bx%7D%7B%5Crho%7D-%5Cfrac%7By%7D%7B%5Crho%7D%2B%5Cfrac%7Bz%7D%7B%5Crho%7D%5D%5C%5C%5C%5C%5Crho%5E2%3D2x-2y%2B2z%5C%5C%5C%5Cx%5E2%2By%5E2%2Bz%5E2%3D2x-2y%2B2z)
We have to complete squares:
Hence, the sphere has a radius of and is centered at the point (1,-1,1)
hope this helps!!
It can't they have no common factor
