Explain the distance formula. Then use it to calculate the distance between A (1,1) and B(7,-7)

difference in x = (7-1) = 6

difference in y = (-7 -1) = -8

hypotenuse = distance = sqrt(36+64)
= 10

found this on brainly:

d= \sqrt{ (7 - 1) ^{2}+ (-7 -1) ^{2} }
d= \sqrt{ (6) ^{2}+ (-8) ^{2} }
d= \sqrt{ 36 + 64 }
d= \sqrt{ 100 }
d=10

I don't know if it's correct, but though I'd help.

Damon and dead inside are right lol

Can you help me with this one Steve?

Thank you!

It says it needs all the steps that you use to solve this problem😅

Shiver me Timbers man this is hard

Can anyone Help?

The distance formula is a mathematical equation used to find the distance between two points in a coordinate plane. It is derived from the Pythagorean theorem.

To calculate the distance between two points, A(x1, y1) and B(x2, y2), the distance formula is:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

Where d represents the distance between the two points.

Now let's calculate the distance between point A (1, 1) and point B (7, -7) using the distance formula:

Substitute the values into the formula:

d = √[(7 - 1)^2 + (-7 - 1)^2]

Simplify:

d = √[6^2 + (-8)^2]

d = √[36 + 64]

d = √100

d = 10

Therefore, the distance between point A (1, 1) and point B (7, -7) is 10 units.