Question

Find the distance between the two points. Round to the nearest tenth if necessary. (6, 11), (0, 3) a. 10 b. 14 c. 15 d. 100

Answer 1

a. 10

Explanation:

We have been given two points (6, 11) and (0, 3). Now we need to find the distance between points (6, 11) and (0, 3) and check which of the following choices are correct:

(6, 11), (0, 3) a. 10 b. 14 c. 15 d. 100

Also we should round to the nearest tenth if necessary.

Apply distance formula :

`distance =√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)`

`distance =√(\left(0-6\right)^2+\left(3-11\right)^2)`

`distance =√(\left(-6\right)^2+\left(-8\right)^2)`

`distance =√(36+64)`

`distance =√(100)`

`distance =10`

Hence correct choice is a. 10

Answer 2

Answer: option a

Explanation:

You must apply the formula for calculate the distance between the two points. which is shown below:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Therefore, keeping on mind that the points given in the problem are (6, 11), (0, 3), when you substitute values into the formula shown above, you obtain that the distance between these two points is the following:

`d=√((0-6)^2+(3-11)^2)\\d=10`