Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The table below shows the responses from four students.

t = 8/9

Step-by-step explanation:

There are many possible solutions that could be expressed as equivalent to the equation 10t - 4t + 3t = 8.  With that being said, here is a simplified form, solved for t.

10t - 4t + 3t = 8

6t + 3t = 8

9t = 8

t = 8/9

Each of these form's is an equivalent equation to the one written by Mrs. McAlister.

If you can provide the table of student answers, we could answer which students were correct or wrong.  Without the table, we can only guess.

Cheers.

-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