Question

Find the distance between the two points rounding to the nearest tenth (-5,5) (4,-7)

Answer 1

To find the distance between the points \((-5, 5)\) and \( (4, -7)\), we can use the distance formula:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Here, \((x_1, y_1) = (-5, 5)\) and \((x_2, y_2) = (4, -7)\).

Now, substitute the coordinates into the formula:

\[
d = \sqrt{(4 - (-5))^2 + (-7 - 5)^2}
\]

Calculate \(x_2 - x_1\) and \(y_2 - y_1\):

\[
x_2 - x_1 = 4 + 5 = 9
\]
\[
y_2 - y_1 = -7 - 5 = -12
\]

Now substitute these values back into the formula:

\[
d = \sqrt{(9)^2 + (-12)^2}
\]
\[
d = \sqrt{81 + 144}
\]
\[
d = \sqrt{225}
\]
\[
d = 15
\]

Thus, the distance between the two points is \(15\). Since \(15\) rounded to the nearest tenth is still \(15.0\), we can present the final answer as:

\[
\boxed{15.0}
\]