Can someone please help with this problem?

Find the distance between the given points: (-3, -7) and (-4, 15).
Thanks so much.

(-5, 3)

How did you get that answer? Could you please explain? Thanks.

calculation

Use the distance formula

D = √[(15+7)^2 + (-4+3)^2]
= √[484+1]
= √485
= appr. 22.023

the answer given by anonymous makes no sense, distance is not a point.

Of course, I'd be happy to help you solve this problem!

To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem.

The formula can be written as:

√((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, we have the points (-3, -7) and (-4, 15).

Let's substitute these values into the distance formula:

√((-4 - (-3))^2 + (15 - (-7))^2)

Simplifying further:

√((-4 + 3)^2 + (15 + 7)^2)

√((-1)^2 + (22)^2)

√(1 + 484)

√485

So, the distance between the two given points is √485, which is approximately equal to 22.02 units.

I hope this explanation was helpful! Let me know if you have any more questions.