Question

Please help me with 1,2,3,4 and show me how you get it the answers

Answer 1

Answer:

Step-by-step explanation:

Use the formula of distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$,

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

1. Distance between A(3, 4) and B(8, 12),

  AB = $\sqrt{(8-3)^2+(12-4)^2}$

  AB = $\sqrt{25+64}$

        = $\sqrt{89}$

        ≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

   CD = $\sqrt{(3+2)^2+(-2-10)^2}$

         = $\sqrt{25+144}$

         = $\sqrt{169}$

         = 13.00

3. Distance between X(20, 4) and Y(17, 0),

    XY = $\sqrt{(20-17)^2+(4-0)^2}$

          = $\sqrt{3^2+4^2}$

          = $\sqrt{25}$

          = 5.00

4. Distance between E(2, -1) and M(6, 9),

    EM = $\sqrt{(2-6)^2+(-1-9)^2}$

          = $\sqrt{16+100}$

          = $\sqrt{116}$

          = 10.77