Factor out the common term; 3
(3(x + 1))^2 = 36
Use the Multiplication Distributive Property; (xy)^a = x^ay^a
3^2(x + 1)^2 = 36
Simplify 3^2 to 9
9(x + 1)^2 = 36
Divide both sides by 9
(x + 1)^2 = 36/9
Simplify 36/9 to 4
(x + 1)^2 = 4
Take the square root of both sides
x + 1 = √4
Since 2 * 2 = 4, the square root of 2 is 2
x + 1 = 2
Break down the problem into these 2 equations
x + 1 = 2
x + 1 = -2
Solve the first equation; x + 1 = 2
x = 1
Solve the second equation; x + 1 = -2
x = -3
Collect all solutions;
<u>x = 1, -3</u>
18
First you want to change the 20% into a decimal which is .20
Next you want to multiply 90 by .20 because that will give you the answer for 20% of 90
90x.20=18
Hope that helps
Given:
Sum of interior angle
To find:
Number of sides of a polygon
Solution:
Using sum of interior angles formula:
where "S" is the sum of interior angels and "n" is the number of sides of a polygon.
Divide by 180° on both sides.
Cancel common factor 180°.
Add 2 on both sides.
Switch the sides.
Therefore number of sides of a polygon is 
.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the line y = - x
a point (x, y ) → (- y, - x ), thus
T(- 1, 3 ) → T'(- 3, 1 )
U(- 1, 10 ) → U'(- 10, 1 )
V(- 2, 4 ) → V'(- 4, 2 )
