Rotation and translation are rigid transformations, they don't change figure sizes. Dilation change figure sizes increasing or decreasing them by scale factor.
First, find AB and A'B' by the formula:
As you can see AB=2A'B'. This means that the segment AB was decreased twice to form segment A'B'. Then the scale factor is 1/2.
1.)
=(x-8i)(x+8i)
x^2+8ix-8ix-64i^2
x^2-64i^2
x^2-64(-1)
x^2+64
2.)
=(4x-7i)(4x+7i)
16x^2+28ix-28ix-49i^2
16x^2-49i^2
16x^2-49(-1)
16x^2+49
3.)
=(x+9i)(x+9i)
x^2+9ix+9ix+81i^2
x^2+18ix+81(-1)
x^2+18ix-81
4.)
=(x-2i)(x-2i)
x^2-2ix-2ix+4i^2
x^2-4ix+4(-1)
x^2-4ix-4
5.)
=[x+(3+5i)]^2
(x+5i+3)^2
(x+5i+3)(x+5i+3)
x^2+5ix+3x+5ix+25i^2+15i+3x+15i+9
x^2+6x+10ix+30i+25i^2+9
x^2+6x+10ix+30i+25(-1)+9
x^2+6x+10ix+30i-25+9
x^2+6x+10ix+30i-16
Hope this helps :)
Answer:
It's 4
Step-by-step explanation:
It asks how many 3/8 cups are in 1 1/2 cups. So, we divide.
1 1/2 ÷ 3/8. We have to change the 1 1/2 into a improper fraction. 1 1/2 = 3/2. 3/2 ÷ 3/8 = 3/2 ÷ 8/3 = 24/6. Simplify, and you get 4. :)
Answer: 8) 42°, 65°, 115° 9) 1.5, 2
Step-by-step explanation:
8) Right off the bat I know that the measure adjacent to 157° is
23°. With both numbers inside the triangle combined, we get
65° meaning the last number is 115 because that'll add up to 180°
9) Considering the smaller triangle has half the length of the bigger triangle
The length of the rest are half the size too.
EF = 1.5
DF = 2
