Answer:
15
Step-by-step explanation:
To find the distance between the points (-3, -3) and (6, 9), we can use the distance formula:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Distance Formula}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\textsf{where:}\\ \phantom{ww}\bullet\;\;d\;\textsf{is the distance between two points.} \\\phantom{ww}\bullet\;\;\textsf{$(x_1,y_1)$ and $(x_2,y_2)$ are the two points.}\end{array}}[/tex]
In this case:
- (x₁, y₁) = (-3, -3)
- (x₂, y₂) = (6, 9)
Substitute the coordinates into the distance formula and solve for d:
[tex]d=\sqrt{(6-(-3))^2+(9-(-3))^2}\\\\d=\sqrt{(6+3)^2+(9+3)^2}\\\\d=\sqrt{(9)^2+(12)^2}\\\\d=\sqrt{81+144}\\\\d=\sqrt{225}\\\\d=15[/tex]
Therefore, the distance between the given points is 15.
