Simply: -2 1/3 - (-10 1/6)

−8/3≈−2.666666667

Step-by-step explanation:

-2 1/3 - (-10 1/6)

Multiply −2 times 2/1=0.5.

−1−10×( 1/6 )≈−2.666666667

Multiply 10 and 1/6≈0.166666667 to get 10/6≈1.666666667

−1− 10/6 ≈−2.666666667

Reduce the fraction 10/6 ≈1.666666667 to lowest terms by extracting and canceling out 2.

−1−5/3 ≈−2.666666667

Convert −1 to fraction −3/3 =−1.

− 3/3−5/3≈−2.666666667

Since −3/3 =−1 and 5/3 ≈1.666666667 have the same denominator, subtract them by subtracting their numerators.

−3−5/3 ≈−2.666666667

Subtract 5 from −3 to get −8.

-8/3=−2.666666667

-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