Question

find the distance between a and b.
a. 4√7 units
b. 11 units
c. √14 units
d. √130 units

Explanation:

Step1: Identify coordinates of A and B

From the grid: $A(-6, -2)$, $B(5, 1)$

Step2: Apply distance formula

Distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
Substitute values: $d = \sqrt{(5 - (-6))^2 + (1 - (-2))^2}$

Step3: Calculate differences

$5 - (-6) = 11$, $1 - (-2) = 3$
Expression: $d = \sqrt{(11)^2 + (3)^2}$

Step4: Compute squares and sum

$11^2 = 121$, $3^2 = 9$
Sum: $121 + 9 = 130$
Expression: $d = \sqrt{130}$

Answer:

D. $\sqrt{130}$ units