Answer:
add (12/2)^2 to both sides
Step-by-step explanation:
x^2-12x=16
x^2 -12x + (12/2)^2 = 16 + (12/2)^
x- (12/2)^2=52
(x-6)^2=52
Answers:
x= -2 root 3 +6
x= 2 root 3 +6
Answer:
Step-by-step explanation:
2.
y=kx
8=-4k
k=-2
so y=-2x
3.

4.
eq. of line is y-5=4(x+2)
Answer:
7
Step-by-step explanation:
280=40t/40
t=7
<h3>
Answer: Choice D. 4^2+5^2 = x^2</h3>
See note at the bottom
========================================================
The entire building is 20 feet. Fifteen feet of that is from the ground to the first landing of the stairs or fire escape. So 20-15 = 5 feet represents the height of the second set of stairs (leading to the roof of the building)
The base of the triangle is 4 feet as shown in the diagram. The height is 5 feet as found in the prior paragraph. Use the pythagorean theorem to say
a^2 + b^2 = c^2
4^2 + 5^2 = x^2
Note: If you meant to write 4^2+5^2 = x^2 for choice D, then that would be the answer. Otherwise, there is a typo somewhere.
3x + 22 is the equation that represents the perimeter of the triangle. 4x + 10 is the perimeter of the rectangle. Setting the two equal:

and collecting like terms:

We find that the perimeter of both shapes is equal to 11 units.