What is the the distance between the points (23,-33) and (4,9)? if necessary, round your answer to two decimal places.

Given two points:
A(x₁,y₁)
B(x₂,y₂)

The distance between these points will be:
dis(A,B)=√((x₂-x₁)² + (y₂-y₁)²)

In this case the points are:
A(23,-33)
B(4,9)

And it distance would be:

Dis(A,B)=√(4-23)²+(9+33)²)
=√((-19)²+(42)²)
=√(361+1764)
=√2125
=46.097≈46.1

Answer: D) 46.10 units

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maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-05-16T14:44:36+02:00

The distance between the points (23,-33) and (4,9) is 46.10 units option (C) is correct.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The point are (23,-33) and (4,9)

[tex]\rm d=\sqrt{(4-23)^2+(9+33)^2}[/tex]

After simplifying, we get:

[tex]\rm d=\sqrt{361+1764}[/tex]

d = 46.09 ≈ 46.10 units

Thus, the distance between the points (23,-33) and (4,9) is 46.10 units option (C) is correct.

Learn more about the distance formula here:

brainly.com/question/18296211

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