Question

if you have points (3, 4) and (7, 8), what is the distance between them? a. √32 b. 4 c. 10 d. √2 what are the coordinates of a point? a. a pair of numbers indicating position b. a type of equation c. a set of instructions d. a color code

Explanation:

Step1: Recall distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 3,y_1 = 4,x_2 = 7,y_2 = 8$.

Step2: Substitute values

$d=\sqrt{(7 - 3)^2+(8 - 4)^2}=\sqrt{4^2+4^2}=\sqrt{16 + 16}=\sqrt{32}$.

For the second - question:
The coordinates of a point are a pair of numbers indicating position.

Answer:

1. A. $\sqrt{32}$
2. A. A pair of numbers indicating position