Solve by simplifying the problem. there are 18 students in mr. alvarez’s art class. throughout the year, every student must pair up with every other student to complete a project. how many projects will be finished?

153

Step-by-step explanation:

There are 18 students in a class.

They are required to pair up with every other student to complete a project throughout the year .

Now we are asked to find the no. of projects will be finished .

So, we will use combination

Formula :

No. of students (n)=18

No. of students in each pair (r)= 2

Substituting the values in formula :

Thus the no. of projects will be finished is 153

-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

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64