Find the distance between the two points rounding to the nearest tenth (9,8) (7,5)

1 answer

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.