Question

Determine the distance between the points (−3, −2) and (0, 2).

2 units
4 units
5 units
10 units

Answer 1

Answer:is 5

Step-by-step explanation: cuz I read other answer

Answer 2

5 units

Explanation:

To determine the distance between the points (-3, -2) and (0, 2), we can use the distance formula.

`\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=√((x_2-x_1)^2+(y_2-y_1)^2)$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}`

Let (x₁, y₁) = (-3, -2)

Let (x₂, y₂) = (0, 2)

Substitute the values into the formula and solve for d:

`\begin{aligned}\implies d&=√((0-(-3))^2+(2-(-2))^2)\\&=√((0+3)^2+(2+2)^2)\\&=√((3)^2+(4)^2)\\&=√(9+16)\\&=√(25)\\&=5\; \rm units \end{aligned}`

Therefore, the distance between the given points (-3, -2) and (0, 2) is 5 units.