Question

in exercises 21 - 28, find the distance between two points. 21. a(13, 2) and b(7, 10) 22. c(-6, 5) 23. e(3, 7) and f(6, 5) 24. g(-5, 4) 25. j(-8, 0) and k(1, 4) 26. l(7, -

Explanation:

Step1: Recall distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify coordinates for points A and B

For points $A(13,2)$ and $B(7,10)$, $x_1 = 13$, $y_1 = 2$, $x_2 = 7$, $y_2 = 10$.

Step3: Substitute values into formula

$d=\sqrt{(7 - 13)^2+(10 - 2)^2}=\sqrt{(-6)^2+8^2}=\sqrt{36 + 64}=\sqrt{100}=10$.

Answer:

10