What is the final factored form of the expression 2x − 10 + xy − 5y?

(x - 5)(2 + y)

Step-by-step explanation:

2x − 10 + xy − 5y

= 2(x - 5) + y(x - 5)

=(x - 5)(2 + y)

Hey there! For this question, we'll be using a factoring method called grouping. This means that we will take two terms, factor those, then use the two terms that are left and factor those.

(2x - 10) = one group

(xy - 5y) = second group

You can take a 2 out of the first group and a y out of the second group:

2(x - 5) + y(x - 5)

And that's it!

Hope this helps!! )

-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