All you have to do is multiply the l * w = Area
When you look at 26 ft and 15 ft, 21 ft and 10 ft, 29 ft and 18 ft, you'd know it wouldn't work since it's over 180.
So the dimensions of the ceiling are l = 20 ft; w = 9 ft
<span>2x^2 - 19x - 33 = 0 </span>
<span>The factors of 2 are 1 x 2. </span>
<span>The factors of 33 are 1 x 33 and 3 x 11. </span>
<span>Using Guess and Test and FOIL, find a combination that gives you a middle term of -19x: </span>
<span>(2x + 3)(x - 11) = 0. </span>
<span>Using the principal of zero product, solve each equation for x: </span>
<span>2x + 3 =0 and x - 11 =0. </span>
<span>The two solutions are x = -3/2 and x = 11.
</span>
Answer: Choice C) -11
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Explanation:
The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x.
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)
Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x
3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11
