Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.
Answer:
x=19
Step-by-step explanation:
First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:

Then you square the numbers that you currently have:

Then subtract 225 from both sides to isolate the x:

This gives you the equation:

Then take the square root of both sides which gives you:

Then round to the nearest whole number which gives you x=19
Answer:
A
Step-by-step explanation:
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Answer:
z-4
Step-by-step explanation:
z(5z²-80) ÷ 5z(z+4) = z-4
Step-by-step explanation:
Given: z(5z²-80) ÷ 5z(z+4)
Calculation:
First we factor numerator z(5z²-80)
Take out 5 from 5z²-80 and we get 5z(z²-16)
Now we factor 16 = 4²
5z(z²-4²)
Using formula, (a²- b²)=(a+b)(a-b)
5z(z²- 4²)⇒5z(z+4)(z-4)
Simplified fraction
5z(z+4)(z-4) ÷ 5z(z+4)
Cancel like factor from numerator and denominator
⇒ z-4
Thus, z(5z²-80) ÷ 5z(z+4) = z-4