Question

Find the distance between point
A
(
4
,

8
)
A(4, 8) and
B
(
18
,

12
)
B(18, 12). Round your answer to the nearest tenth. Click Here for Help Video. Click Here if you would like to create a visual.

Answer 1

To find the distance between two points \( A(4, 8) \) and \( B(18, 12) \), we can use the distance formula:

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

In this case, \( A(4, 8) \) has coordinates \( (x_1, y_1) = (4, 8) \) and \( B(18, 12) \) has coordinates \( (x_2, y_2) = (18, 12) \).

Now, substituting the values into the formula:

\[
d = \sqrt{(18 - 4)^2 + (12 - 8)^2}
\]

Calculating the differences:

\[
d = \sqrt{(14)^2 + (4)^2}
\]

Calculating the squares:

\[
d = \sqrt{196 + 16}
\]

Adding the results:

\[
d = \sqrt{212}
\]

Now, we need to compute the square root of 212:

\[
d \approx 14.5602
\]

Rounding to the nearest tenth gives:

\[
d \approx 14.6
\]

Thus, the distance between points \( A(4, 8) \) and \( B(18, 12) \) is approximately **14.6**.