What is the distance between points (-3,8) and (3,-4) round to the nearest tenth. the midpoint between points (-3,8) and (3,-4) is (0,y) what is y? what is the midpoint between points (7,8) and (-3,2)? which point is a distance of 5 units from the points (1,9)? a.(6,8) b.(2,4) c.(3,3) d.(5,6) the midpoint between points (x, y) and (3,7) is (4,11).what is y?

The distance between two points can be found by looking at the distance as the hypotenuse of a right triangle, where the bases are the distance between the x values (movement from left to right) and the y values (movement up or down). The formula looks like this:

So,


and

so the distance is

to find the missing y, we use the midpoint formula: (x,y) where

we just need the y, so


so y=2

now, the next question, we use the midpoint formula to find the midpoint between (7,8) and (-3,2)

so our midpoint is at (2,5)

The next question is a bit more complicated. We use the distance formula and substitute in every point until we get an answer of 5.

so it is not A.

so it is not B

so it is not C

so the answer is D (5,6)

Finally, some algebra and the midpoint formula can give us y.

multiply everything by 2 to get rid of the denominator then combine like terms.


finally, the 7 is positive, so we need to subtract 7 from both sides.

so our missing y is 15.

hope that helps!

The first digit is in the middle school 100s place