Question

Use the distance formula to find the distance between each PowerPoint round to the nearest 10th if necessary

Answer 1

Explanation:

Distance between two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by the formula,

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

a). A(-6, -4), B(-3, -1)

Distance between A and B =
`√((-6+3)^2+(-4+1)^2)`

=
`√(9+9)`

= 3√2

= 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D =
`√((3.5+4)^2+(1-2.5)^2)`

=
`√(58.5)`

= 7.65

≈ 7.7 units

c). Distance between X(5, -5) and Y(-5, 5)

Distance =
`√((5+5)^2+(-5-5)^2)`

=
`√(200)`

= 10√2

= 14.14

≈ 14.1 units