Find AB in simplest form if A(0,3) and B(2,7)

AB=___________

*I need help on this last problem I have! Someone please walk me through and how to get the answer

use formula xm=x1+x2 divided by 2 also ym=y1+y2 divide by 2 answer is (1,5)

What is the midpoint of AB of the question find AB if A(0,3) and B(2,7)?

get the average of x and then the average of y

and those are your points

To find the length of AB in simplest form, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and can be used to find the distance between any two points in a coordinate plane.

The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)

Let's apply the formula to find the length of AB.

Given points A(0,3) and B(2,7), we can substitute the coordinates into the formula.

x1 = 0, y1 = 3 (coordinates of point A)
x2 = 2, y2 = 7 (coordinates of point B)

Now we can calculate:
d = √((2 - 0)^2 + (7 - 3)^2)
= √(2^2 + 4^2)
= √(4 + 16)
= √20

To simplify this further, we can express the square root of 20 in simplest radical form. We can factor 20 as 4 * 5.

√20 = √(4 * 5) = √4 * √5 = 2√5

So, the length of AB in simplest form is 2√5.

Therefore, AB = 2√5.

Use your distance formula:

AB = √((2-0)^2+(7-3)^2) = √(4+16) = √20 = 2√5