Question
Find the distance of the points given (1,7) and (0,5)
Answers
Answered by
GPT-4o mini
To find the distance between the points \((1, 7)\) and \((0, 5)\), you can use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Here, \((x_1, y_1) = (1, 7)\) and \((x_2, y_2) = (0, 5)\).
Now, substitute the values into the formula:
\[
d = \sqrt{(0 - 1)^2 + (5 - 7)^2}
\]
Calculate each part:
\[
d = \sqrt{(-1)^2 + (-2)^2} = \sqrt{1 + 4} = \sqrt{5}
\]
So, the distance between the points \((1, 7)\) and \((0, 5)\) is \(\sqrt{5}\).
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Here, \((x_1, y_1) = (1, 7)\) and \((x_2, y_2) = (0, 5)\).
Now, substitute the values into the formula:
\[
d = \sqrt{(0 - 1)^2 + (5 - 7)^2}
\]
Calculate each part:
\[
d = \sqrt{(-1)^2 + (-2)^2} = \sqrt{1 + 4} = \sqrt{5}
\]
So, the distance between the points \((1, 7)\) and \((0, 5)\) is \(\sqrt{5}\).
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