Answer:
D
Step-by-step explanation:
To obtain vertex form from the given equation use the method of completing the square
given 8y + x² = - y² - 181 + 26x
rearrange having the x terms and y terms together
add y² to both sides
8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )
x² - 26x + y² + 8y = - 181
add (half the coefficient of the x/y terms )² to both sides
x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16
completing the square on both the x and y terms
(x - 13)² + (y + 4)² = 4 → D
Answer:
The length of the long side of the rectangle is 38 ft.
Step-by-step explanation:
If we test out all possible factors, we will see that 15 x 38 is the most fitting.
Perimeter: 15 + 15 + 38 + 38 = 106 ft.
Area: 15 x 38 = 570 square ft.
38 ft. is the measurement of the long side and 15 ft. is the measurement of the smaller side.
Answer:
non-linear: C, E, F
Step-by-step explanation:
Choices A, B, D are linear functions, so the rest are non-linear: C, E, F