Answer:
Step-by-step explanation:
<u>Dilation is applied by the rule:</u>
- (x, y) → (kx, ky), where k is the scale factor
<u>We have</u>
- (x, y) = (-2, 3) and (kx, ky) = (-8, 12)
<u>Substitute and solve for k</u>
- -8 = -2k and 12 = 3k ⇒ k = 4
<u>So the rule is</u>
17 pieces can be cut because you have to divide 12 3/4 by 3/4
Answer:
24x + 8
Step-by-step explanation:
4 + 16 - 12(1 + 2x)
Solve
Show steps
__________________
We have a dilemma here, there is a variable and constant numbers in this equation. No fear, this is when like terms comes into play, where you can only combine two numbers that have the same ending, whether it be variables, exponents, e.t.c.
Distribute :
4 + 16 - 12(1 + 2x)
4 + 16 - (12(1) + 12(2x))
4 + 16 - 12 + 24x
Use PEMDAS (Add left to right) :
4 + 16 - 12 + 24x
20 - 12 + 24x
8 + 24x
24x + 8
Answer:
The ratio is
.
Step-by-step explanation:
The ratio of the perimeters of Quad ABCD to Quad WXYZ = 
But considering sides AB and WX,
representative factor for both figures = 
So that;
WX = 12
XY = 1.5 x 6 = 9
YZ = 1.5 x 7 = 10.5
WZ = 1.5 x 7 = 10.5
Thus,
perimeter of Quad ABCD = 6 + 7 + 7 + 8
= 28
perimeter of Quad WXYZ = 9 + 10.5 + 10.5 + 12
= 42
The ratio of the perimeters of Quad ABCD to Quad WXYZ = 
= 
Answer:

Step-by-step explanation:
<u>Step 1: Multiply inside the parenthesis
</u>


<u>Step 2: Multiply
</u>
<u />


Answer: 