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Ksivusya [100]
3 years ago
10

The rectangle below has an area of c^2-4x-12 square meters and a length of x+2 meters what expression represents the width of th

e rectangle
Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

Width = \frac{c^2 - 4x - 12  }{x+2}

Step-by-step explanation:

All we have to do is to use the method of changing the subject. First we know that length * width is equal to area.

Area = length * width

We have the area and the length but we don't have the width. So we substitute the values we have int the equation and make the width (w) the subject.

(c^2 - 4x - 12) = (x + 2) * w

(c^2 - 4x - 12) = w(x +2)

Divide both sides by (x+2) so w can stand alone.

\frac{c^2 - 4x - 12}{x+2} = \frac{w(x+2)}{x+2}

w = \frac{c^2 - 4x - 12  }{x+2}

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At which values of x does the function F(X) have a vertical asymptote? F(X) =3/x(x-5)(x+1)
damaskus [11]

Answer:

There are vertical asymptotes at x:  {-1, 0, 5}

Step-by-step explanation:

It's easier (at least for some) if you write this function as

                  3

F(X) = ------------------

            x(x-5)(x+1)

Can you now see that if x = 0, this function is undefined?  Same for x = 5 and x = -1?  There are vertical asymptotes at x:  {-1, 0, 5}

5 0
4 years ago
What is 2/3(n+6)=10?<br> What is n?<br> 2/3 is a fraction as two thirds
Aleks04 [339]
First distribute the 2/3.
(2/3)n + (2/3)*6 = 10
(2/3)n + 4 = 10
Subtract 4 from both sides
(2/3)n = 6
Multiply both sides by (3/2) to clear the fraction
n = 9
6 0
3 years ago
2(3v−5)=2(v−11)−4<br> what is v?
Neko [114]

Answer:

-4

Step-by-step explanation:

1.  6v-10=2v-22-4

2.  4v-10=-26

3. 4v=-16

4.  v=-4

3 0
3 years ago
5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied by 2.​
elena-14-01-66 [18.8K]

Step-by-step explanation:

<h3>One fourth Part of Product of 12 and 3 </h3>

<h3>: 36 = 1/4 = 9</h3><h3>5 subtract from this = 9 - 5 = 4</h3>

<h3>Multiply by 2 = 2×4 = 8</h3>
3 0
3 years ago
Evaluate the function rule for the given value. f(x)=3^x for x=-5
FromTheMoon [43]

Answer:

\frac{1}{243}

Step-by-step explanation:

using the rule of exponents

a^{-m} ⇔ \frac{1}{a^{m} }

f(- 5) = 3^{-5} = \frac{1}{3^{5} } = \frac{1}{243}


6 0
4 years ago
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