Determine if the given lines are parallel, perpendicular, or neither 19. y + 5 = -12
x-y=10
20. 3x-5y=10
10x+6y=-36
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Step-by-step explanation:

19.y+5=-12

y=-12-5

y=-17

x-y=10

x+17=10

x=10-17

x=-7

20.3x-5y=10

3*-7-5*-17=10

-21+85=10

64=10

10x+6y=-36

10*-7+6*-17=-36

-70+102=-36

32=-36

-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

36

step-by-step explanation: