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Svetach [21]
3 years ago
14

4b2 + 5b - 27

Mathematics
1 answer:
joja [24]3 years ago
7 0

Answer:

The answer is C, the coefficient.

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The dimensions of a rectangle are x+3 and x+4. The area of the rectangle is 72. Set up an equation that models this rectangle an
vodomira [7]

Answer: x = 5

Step-by-step explanation:

The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.

l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72

Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.

x^2 + 7x - 60 = 0

Apply the quadratic formula

\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.

x = 5 and x = -12

An alternate way is just factoring the trinomial to:

(x+12)(x-5) = 0

3 0
3 years ago
2x+4y=-12 and -4x-2y=-12 what is the solution
DochEvi [55]

Answer:

The answer is that x = 6 and y = -6

Step-by-step explanation:

In order to find these values, we can use elimination. To do so, we multiply the first equation by 2 and then add the equations together.

4x + 8y = -24

-4x - 2y = -12

------------------

6y = -36

y = -6

Now that we have this value, we can plug the value into one of the originals and find x.

2x + 4y = -12

2x + 4(-6) = -12

2x - 24 = -12

2x = 12

x = 6

4 0
3 years ago
How many repeating digits are in 0.536? ​
Shkiper50 [21]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
According to some students, what is the true purpose of homework?
Sholpan [36]
Well acording to my teachers the true purpose of homework is to forge your mind to look beyond everyone else's mind by trying to get good grades
5 0
3 years ago
Which line contains the point (3,6)
spayn [35]
Many lines do. One of them would be y = 2x
6 0
2 years ago
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