Luke is having a rectangular swimming pool built in his back yard. he wants it to be 30 feet longer than it is wide. he also has to
decide how deep he wants the pool to be. he wants the width of the pool to be at least 15 feet greater than the depth.
the cost of the pool will be based on the depth and area of the pool. the cost of the pool will be $10 per square foot of perimeter
plus $30 per foot of depth. luke can afford to spend no more than $15,000 on the construction of the pool.
create a sustem of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

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associative property hopes this ! : )

step-by-step explanation:

-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

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step-by-step explanation: