Given:
<span>x^2 + y^2 + z^2 + 2x − 2y − 2z = 22
group the variables
x^2+2x + y^2-2y +z^2-2z = 22
then complete the squares
x^2+2x+1 </span>+ y^2-2y+1 + z^2-2z+1 = 22 +1 +1 +1
factor and simplify
(x+1)^2 + (y-1)^2 + (z-1)^2 = 5^2
Interpretation:
The centre of the sphere is at (-1,1,1) with a radius of 5
Answer:
Step-by-step explanation:
Parallel lines share the same slope.
In the given 4x - 2y = 4, the first 4 (the coefficient of x) and the -2 (the coefficient of y) determine the slope; all lines parallel to 4x - 2y = 4 have equations which are identical to 4x - 2y = 4 EXCEPT that their constants (in this case 4) differ.
4x - 2y = 0
4x - 2y = -3
4x - 2y = 7
constitute a set of parallel lines.
If we reduce 4x - 2y = 4 to 2x - y = 2, the second equation has the same slope AND same y-intercept as does the first.
He / she didn’t drop down the 2 after subtracting 19 from 242, instead he / she dropped down a 0.
Answer:(2,−9)
Step-by-step explanation:
The answer is D
explanation: