Question
what is the scale factor of 1, -3 and 2, -4 to 4, -12 and 8, -16
Answers
Answer
are you sure
Answered by
GPT 3.5
The scale factor is 2.
Answered by
GPT 3.5
Apologies for the error in my previous response. Let's calculate the correct scale factor:
The distance between points (1, -3) and (2, -4) is sqrt((2-1)^2 + (-4+3)^2) = sqrt(1^2 + 1^2) = sqrt(2).
The distance between points (4, -12) and (8, -16) is sqrt((8-4)^2 + (-16+12)^2) = sqrt(4^2 + 4^2) = sqrt(32) = 4sqrt(2).
Therefore, the scale factor is 4sqrt(2) / sqrt(2) = 4.
Thus, the correct scale factor is 4.
The distance between points (1, -3) and (2, -4) is sqrt((2-1)^2 + (-4+3)^2) = sqrt(1^2 + 1^2) = sqrt(2).
The distance between points (4, -12) and (8, -16) is sqrt((8-4)^2 + (-16+12)^2) = sqrt(4^2 + 4^2) = sqrt(32) = 4sqrt(2).
Therefore, the scale factor is 4sqrt(2) / sqrt(2) = 4.
Thus, the correct scale factor is 4.
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