Answer:
Addition Property of Equality
Step-by-step explanation:
So we had:

And then we got:

We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:

Since we added 2 to both sides, this is an example of the addition property of equality.
Answer:
24
Step-by-step explanation:
The area is calculated by multplying radius (half of diameter) by itself and then with number pi
the area for this circle is given as
144π m^2
144 is the squared form of 12 if the radius is 12 the diameter is 24
Answer:
Step-by-step explanation:
Slope is the change in y over the change in x.
m = (8 - 6) / (8 - 4) = 2/4 = 1/2
Answer: x = -54
Step-by-step explanation:
Simplifying
(2x) = (4x + 108)
Reorder the terms:
(2x) = (108 + 4x)
Remove parenthesis around (108 + 4x)
(2x) = 108 + 4x
Solving
(2x) = 108 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
(2x) + -4x = 108 + 4x + -4x
Combine like terms: (2x) + -4x = -2x
-2x = 108 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2x = 108 + 0
-2x = 108
Divide each side by '-2'.
x = -54
5^2 = a^2 + b^2
25 = a^2 + b^2
the other sides need to be shorter than 5 so plug them and and see what works:
25 = 4^2 +4^2 = 25 = 16+16 = 25 = 32 false
25 = 4^2 + 3^2 = 16+9 = 25, 25 = 25 True
the only one that works would be sides of 3 and 4 units long