Question

question 14 | bcpss_course3_unit6
a towns map is overlaid on the coordinate plane. each unit represents one mile. what is the straight-line distance between the towns school and library? round to the nearest tenth if necessary. enter the answer.
miles

Explanation:

Step1: Identify coordinates

Library: $(-4, 2)$, School: $(3, -2)$

Step2: Use distance formula

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

Step3: Substitute values

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

Step4: Calculate inside root

$$d=\sqrt{49+16}=\sqrt{65}$$

Step5: Compute & round

$$\sqrt{65}\approx7.1$$

Answer:

7.1 miles