Question

Find the distance between the pair of points.

(15,11) and (-10, -14)
The distance is
(Round to the nearest thousandth as needed.)

Answer 1

Answer: To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the straight-line distance between two points in a two-dimensional space.

The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and d represents the distance between them.

In this case, the given points are (15, 11) and (-10, -14). We can substitute these values into the distance formula to calculate the distance between them.

d = √((-10 - 15)^2 + (-14 - 11)^2)

d = √((-25)^2 + (-25)^2)

d = √(625 + 625)

d = √1250

d ≈ 35.355

Therefore, the distance between the points (15, 11) and (-10, -14) is approximately 35.355 units.

Explanation:

Answer 2

35.355 units

Explanation:

To find the distance between the two points, we can use the distance formula:

`\sf Distance = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

where
`\sf (x_1, y_1)` and
`\sf (x_2, y_2)` are the coordinates of the two points.

In this case, we have:

`\sf x_1 = 15`

`\sf y_1 = 11`

`\sf x_2 = -10`

`\sf y_2 = -14`

Substituting these values into the distance formula, we get:

`\sf Distance = √((-10 - 15)^2 + (-14 - 11)^2)`

`\sf Distance = √((-25)^2 + (-25)^2)`

`\sf Distance = √( 625+625)`

`\sf Distance = √(1250)`

`\sf Distance = 35.35533905932738`

Rounding to the nearest thousandth, we get:

Distance = 35.355**

Therefore, the distance between the two points is 35.355 units.