find the distance between a(-2, -1) and b(3, 2)
d = sqrt((x2 - x1)^2+(y2 - y1)^2)
what is the distance formula?
6/10
question 6

Question

Accepted Answer

# Explanation:
## Step1: Identify the distance - formula
The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
## Step2: Assign the values of $x_1,y_1,x_2,y_2$
Given $A(-2,-1)$ and $B(3,2)$, we have $x_1=-2,y_1 = - 1,x_2=3,y_2 = 2$.
## Step3: Substitute the values into the formula
$$
\begin{align*}
d&=\sqrt{(3-(-2))^2+(2 - (-1))^2}\
&=\sqrt{(3 + 2)^2+(2+1)^2}\
&=\sqrt{5^2+3^2}\
&=\sqrt{25 + 9}\
&=\sqrt{34}
\end{align*}
$$
# Answer:
$\sqrt{34}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify the distance - formula

Step2: Assign the values of $x_1,y_1,x_2,y_2$

Step3: Substitute the values into the formula

Answer: