What numbers are a distance of 2/3 unit from 5/12 on a number line?

You can do this two ways. You could plot the points on a number line and count the distance. Or you could do it like this:

You could subtract the fractions by each other by first making the numbers into decimals. Which would be .66 and .41 and subtract them. Which would be .25. Changing that into a fraction would be 1/4 So the Answer would be 1/4 is the distance between them.

Another way is to find the common denominator 2/3-5/12

8/12-5/12=3/12=

So you would count the up to that number but 2/3 would be 8/3 and you would plot it like that

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3