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Answer:
[tex]\sqrt{61}[/tex]
Step-by-step explanation:
Hi there!
We are given the points (2, 2) and (-3, -4).
We want to find the distance between them.
We can use the distance formula for that, which is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have two points, which is needed for that, but let's label their values to avoid confusion
[tex]x_1=2\\y_1=2\\x_2=-3\\y_2=-4[/tex]
Now substitute those values into the formula to find the distance
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{(-3-2)^2+(-4-2)^2}[/tex]
Simplify the values under the radical
[tex]\sqrt{(-5)^2+(-6)^2}[/tex]
Raise the numbers under the radical
[tex]\sqrt{25+36}[/tex]
Add the numbers under the radical together
[tex]\sqrt{61}[/tex]
The answer cannot be simplified down further, so [tex]\sqrt{61}[/tex] is the answer.
Hope this helps!