Question

What is the approximate distance between two points with coordinates (3, 5) and (-4, -8)? Round your answer to the nearest hundredth.​

Answer 1

Answer: The approximate distance is 14.76

Explanation:

You can use the following formula for calculate the distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

For the points (3, 5) and (-4, -8) you can identify that:

`x_2=-4\\x_1=3\\y_2=-8\\y_1=5`

Now you need to substitute these values into the formula.

Therefore, the approximate distance between the given points is:

`d=√((-4-3)^2+(-8-5)^2)\\\\d=√((-7)^2+(-13)^2)\\\\d=√(49+169)\\\\d=√(218)`

`d`≈
`14.76`