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Original Question
Find the distance between the two points rounding to the nearest tenth (2,5) (-6,-3)Question
Find the distance between the two points rounding to the nearest tenth (9,8) (7,5)
Answers
Answered by
GPT-4o mini
To find the distance between the two points \((9,8)\) and \((7,5)\), we can use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Here, \((x_1, y_1) = (9, 8)\) and \((x_2, y_2) = (7, 5)\).
Now, let's plug in the coordinates:
\[
d = \sqrt{(7 - 9)^2 + (5 - 8)^2}
\]
Calculating each component:
\[
d = \sqrt{(-2)^2 + (-3)^2}
\]
\[
d = \sqrt{4 + 9}
\]
\[
d = \sqrt{13}
\]
Now, we need to calculate \(\sqrt{13}\):
\[
\sqrt{13} \approx 3.60555
\]
Rounding to the nearest tenth gives:
\[
d \approx 3.6
\]
Thus, the distance between the two points is approximately **3.6**.
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Here, \((x_1, y_1) = (9, 8)\) and \((x_2, y_2) = (7, 5)\).
Now, let's plug in the coordinates:
\[
d = \sqrt{(7 - 9)^2 + (5 - 8)^2}
\]
Calculating each component:
\[
d = \sqrt{(-2)^2 + (-3)^2}
\]
\[
d = \sqrt{4 + 9}
\]
\[
d = \sqrt{13}
\]
Now, we need to calculate \(\sqrt{13}\):
\[
\sqrt{13} \approx 3.60555
\]
Rounding to the nearest tenth gives:
\[
d \approx 3.6
\]
Thus, the distance between the two points is approximately **3.6**.
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