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d1i1m1o1n [39]
3 years ago
10

Find the distance behween the points given (2, 2) and (5,5)

Mathematics
2 answers:
Bad White [126]3 years ago
5 0

Answer: 3\sqrt{2}

Step-by-step explanation:

\sqrt{\left(5-2\right)^2+\left(5-2\right)^2}

= 3\sqrt{2}

Bingel [31]3 years ago
5 0

Answer & Step-by-step explanation:

First, we must know the formula for finding the distance between two given points.

Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We will plug in (2,2) for (x1,y1) and we will plug in (5,5) for (y2,y1).

Distance(d)=\sqrt{(5-2)^2+(5-2)^2}

Subtract 2 from 5 in both parentheses.

Distance(d)=\sqrt{(3)^2+(3)^2}

Simplify the exponents.

Distance(d)=\sqrt{9+9}

Add 9 and 9 together.

Distance(d)=\sqrt{18}

Simplify the radical.

Distance(d)=3\sqrt{2}

This number can also be simplified into 4.24.

So, the distance between the two points is 3√2 units or 4.24 units.

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3 years ago
Anybody know the answer?
marysya [2.9K]
I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)

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13 goes in the box




































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