Answer:
The length is 2.5 units
Step-by-step explanation:
Before we find the value of the length of the side, we need the measure of the coordinates after dilation
B’ = 1/2 B = 1/2(3,2) = (1.5, 1)
C’ = 1/2 C = 1/2( 0,-2) = (0,-1)
The measure of the length is the distance between the two points
Mathematically, that would be;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(0-1.5)^2 + (-1-1)^2
D = √(2.25 + 4)
D = √6.25
D = 2.5 units
Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying
