Question

Calculate the distance between the points A (-4, 2) and B (15, 6). Round your answer to the nearest tenth, if necessary.

Answer 1

19.4

Explanation:

The distance between the x coordinates of -4 and 15 would be 19 and the distance between the y coordinates of 2 and 6 would be 4. We can use these to draw a right triangle. The legs would be 19 and 4. We would use the Pythagorean Theorem to find the hypotenuse.

`a^(2)` +
`b^(2)` =
`c^(2)`

`19^(2)` +
`4^(2)` =
`c^(2)`

361 + 16 =
`c^(2)`

377 =
`c^(2)`

`√(377)` =
`\sqrt{c^(2) }`

19.4 ≈ c That is our answer rounded to the nearest tenth