Question

Please help! Give the answer and how you got it

Answer 1

The distance between the points C(-3,1) and D(5,6) is 10.3 units.

Explanation:

Let us consider CD is a line segment.

The point C is (-3,1) and D is (5,6).

The Cartesian formula for line is used to find the length between the CD.

Distance between two points =
`√((x_2-x_1)^2+(y_2-y_1)^2)`.

The points are (-3,1) and (5,6).

=
`√((6-(-3))^2+(6-1)^2)`.

=
`√((6+3)^2+(6-1)^2)`

=
`√(9^2+5^2)`.

=
`√(81+25)`.

=
`√(106)`.

=10.295 ≈ 10.3.

Distance between two points 10.3 units.