Question

Math Lesson help me please asap

Answer 1

AB = 7.28 units

Explanation:

`\boxed{\begin{minipage}{8 cm}\underline{Distance Formula}\\\\$d=√((x_2-x_1)^2+(y_2-y_1)^2)$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}`

From inspection of the given graph:

• A = (-5, -4)
• B = (-3, 3)

Substitute the given points into the formula:

`\begin{aligned}\impliesAB & =√((x_B-x_A)^2+(y_B-y_A)^2)\\& =√((-3-(-5))^2+(3-(-4))^2)\\& =√((2)^2+(7)^2)\\& =√(4+49)\\& =√(53)\\ & = 7.28\; \sf units \; (nearest \: hundredth)\end{aligned}`