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.

Step-by-step 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 = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.

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

=$\sqrt{(6-(-3))^2+(6-1)^2}$.

=$\sqrt{(6+3)^2+(6-1)^2}$

=$\sqrt{9^2+5^2}$.

=$\sqrt{81+25}$.

=$\sqrt{106}$.

=10.295 ≈ 10.3.

Distance between two points 10.3 units.