Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.
1 answer:
Answer: 0.5
Step-by-step explanation:
Given: Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.
Since dilation always produces similar images.
To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides.
AB=|-5-(-8)|=|-5+8|=3 units
A'B'=|-2.5-(-4)=|-2.5+4|=1.5 units
The ratio of the corresponding sides A'B' to AB is given by :-
hence, the scale factor of the dilation = 0.5
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Answer:
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed ⇒ 3rd answer
Step-by-step explanation:
Let us revise some rules of exponents
×
=
×÷
=
=
=
.
To simplify
∵ 5t means 5 × t
∵ Both of them are cubed
- Use the 4th rule above
∴ =
∵ (5)³ = 5 × 5 × 5 = 125
∴ =
= 125 t³
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed