Question

find the distance between a and b.
a. \\( \sqrt{58} \\) units
b. \\( 2\sqrt{2} \\) units
c. \\( 2\sqrt{10} \\) units
d. 7 units

Explanation:

Step1: Identify coordinates of A and B

From the grid: $A(-2,2)$, $B(5,-1)$

Step2: Apply distance formula

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

Step3: Substitute coordinates into formula

$d=\sqrt{(5-(-2))^2+(-1-2)^2}=\sqrt{(7)^2+(-3)^2}$

Step4: Calculate the result

$d=\sqrt{49+9}=\sqrt{58}$

Answer:

A. $\sqrt{58}$ units