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son4ous [18]
3 years ago
11

The rectangle shown has a perimeter of 78 cm and the given area. Its length is 3 more than five times its width. Write and solve

a system of equations to find the dimensions of the rectangle.
Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

So W is going to stand for width and L is going to stand for length.

L= 2W+6

78=2L + 2W

Those are the two equations you will use. So plug in L=2W+6 into the other one and solve.

78= 4W+12 +2W

(simplify)

78=6W+12

(-12 from both sides)

66=6W

(divide by 11)

W=11

Replug W into your equation to find L.

L=22+6

(simplify)

L=28

I hope this is right

Step-by-step explanation:

You might be interested in
Select the correct answer from the drop-down menu.
Contact [7]

Answer:

The correct option is C.

C) -x + 2

Step-by-step explanation:

In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.

Here in this case, the dividend is written.

-x²    x    x

which in the equation form is written as

-x² + x + x

add the x terms to simplify

-x² + 2x

The divisor is given as x, divide the equation by x:

(-x² + 2x)/x

(-x²/x) + (2x/x)

-x+2

Which is the quotient.

4 0
4 years ago
Which term in the quotient of this expression contains an error?
Savatey [412]

Answer:

The + 78 :-  it should be + 60.

Step-by-step explanation:

Long division:-

x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.

         4x^4 - 12x^3

                      6x^3 + 0x^2

                       6x^2 - 18x^2

                                   18x^2 + 6x

                                    18x^2 - 54x

                                                 60x + 3

                                                  60x - 180

                                                              183

7 0
3 years ago
Whats the aream of this rhombus
Ghella [55]

Answer:

Step-by-step explanation:

Most likely it is 195

8 0
3 years ago
If t a n squared θ = 3 /8 , what is the value of  s e c θ
TEA [102]

We can use 3 facts:

\tan{\theta}=\frac{y}{x}

\sec{\theta}=\frac{r}{x}

x^2+y^2=r^2

So, to find our x and our y we can do:

\tan^2{\theta}=\frac{3}{8} \implies \\ \tan{\theta}=\pm{\sqrt{\frac{3}{8}}=\pm\frac{\sqrt{3}}{\sqrt{8}}So, now that we know our x and our y we can find our r.

(\sqrt{3})^2+(\sqrt{8})^2=11 \implies r=\sqrt{11}

You'll notice, though, that there were two solutions for \tan{\theta}, which means we have a positive and a negative for our x. So:

\sec{\theta}=\frac{\sqrt{11}}{\sqrt{8}} \\ \sec{\theta}=-\frac{\sqrt{11}}{\sqrt{8}}}\\ \text{Rationalizing both of them:}\\ \sec{\theta}=\frac{\sqrt{88}}{8} \\ \sec{\theta}=-\frac{\sqrt{88}}{8}

7 0
3 years ago
Read 2 more answers
Mọi người giúp em với
g100num [7]

Answer:

bka bla bla bla sorry I newbie

8 0
3 years ago
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