Alrighty
remember

means

and

and

for all real values of x
so

means

means

which simplifies to
1=x²+4x-5
minus 1 both sides
0=x²+4x-6
use quadratic formula or complete the square

and

2 solutions
The surface area of a cylinder is the area of the bases plus the area of the side, or SA = 2*A₁ + A₂
Since the area of a circle is

,
SA = 2*(

) + A₂
Since the area of the side is height * the circumference of the circle or A₂ = h *

, then SA must be;
SA =

SA =

SA =

SA ≈ <span>351.858377202</span>
Answer:
x + y = 32
x = y + 8
Step-by-step explanation:
Sum of two numbers is 32:
x + y = 32
One number is 8 more than the other:
x = y + 8
After 5 tests, her average was 88. To have a seven-test average of 90, the total must be:

Her average after 5 tests was 88. Her total score on the 5 tests is:

Subtract:

Find the average by dividing by 2:

Her average must be 95