Question

7
6
A
10
432
B
NON
x
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
CON
A
What is the distance from point A to point B? Round your answer to the nearest tenth.

units

Answer 1

To find the distance between points A and B, we first need to determine their coordinates based on the information provided.

From the data given:

- Point A is at (7, 6)
- Point B is at (10, 432)

We can use the distance formula to calculate the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Substituting the coordinates of points A and B into the formula:

\[
d = \sqrt{(10 - 7)^2 + (432 - 6)^2}
\]

This simplifies to:

\[
d = \sqrt{(3)^2 + (426)^2}
\]
\[
d = \sqrt{9 + 181476}
\]
\[
d = \sqrt{181485}
\]

Now, we calculate \(\sqrt{181485}\):

\[
d \approx 425.5
\]

Finally, rounding to the nearest tenth, the distance from point A to point B is approximately:

\[
\boxed{425.5} \text{ units}
\]