15 points! What is the length of AB? Use the distance formula to help you decide.
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Answer: 34
Step-by-step explanation:
The scale of factor is 2. Then, you must multiply the coordinates of the endpoints AB by 2 to obtain the coordinates od the enpoints A'B':
[tex](0*2,-7(2))=(0-14)[/tex]
[tex](8*2,8*2)=(16,16)[/tex]
Substitute values into the formula, then you obtain that the length A'B' is:
[tex]d=\sqrt{(16-0)^2+(16-(-14))^2}\\d=34[/tex]
Answer:
d = √1156 units
Step-by-step explanation:
We have given end-points of AB.
(0,-7) and (8,8)
We have to find length of A⁰B⁰.
Scale factor is 2.
Hence, end-points of A⁰B⁰ are
2(0,-7) and 2(8,8)
(0,-14) and (16,16)
Hence, we can find length of A⁰B⁰ by using distance formula.
d = √(x₂-x₁)²+(y₂-y₁)²
Putting values ,we have
d = √(16-0)²+(16-(-14))²
d = √(16)²+(16+14)²
d = √256+900
d = √1156 units which is the answer.