Question

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

Answer 1

Answer:

Step-by-step explanation:

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

Distance = $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

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

Distance between A and B = $\sqrt{(-6+3)^2+(-4+1)^2}$

                                             = $\sqrt{9+9}$

                                             = 3√2

                                             = 4.2 units

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

Distance between C and D = $\sqrt{(3.5+4)^2+(1-2.5)^2}$

                                              = $\sqrt{58.5}$

                                              = 7.65

                                              ≈ 7.7 units

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

    Distance = $\sqrt{(5+5)^2+(-5-5)^2}$

                    = $\sqrt{200}$

                    = 10√2

                    = 14.14

                    ≈ 14.1 units