Question

question 1 of 10 which expression gives the distance between the points (4, 6) and (7, -3)? a. $sqrt{(4 - 7)^2+(6 - 3)^2}$ b. $(4 - 7)^2+(6 + 3)^2$ c. $sqrt{(4 - 7)^2+(6 + 3)^2}$ d. $(4 - 7)^2+(6 - 3)^2$

Explanation:

Step1: Recall distance formula

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

Step2: Identify the points

Here $x_1 = 4,y_1 = 6,x_2=7,y_2=- 3$.

Step3: Substitute values

Substitute into the formula: $d=\sqrt{(4 - 7)^2+(6-(-3))^2}=\sqrt{(4 - 7)^2+(6 + 3)^2}$.

Answer:

C. $\sqrt{(4 - 7)^2+(6 + 3)^2}$