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4 years ago

How do I simplify this expression?

Mathematics

1 answer:

Hatshy [7]4 years ago

7 0

The simplified form of this equation is 5^3.
You simplify these types of equations by adding/subtracting the exponents, since there is multiplication/division and the constant is the same throughout.

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The perimeter of a rectangle is 40 inches. The table shows some of the possible dimensions for the length and area of the rectan

Mama L [17]

Answer:

Therefore the Dimensions are

Length =18 inches and Width = 2 inches

Length =2 inches and Width = 18 inches

Step-by-step explanation:

Let the Width of rectangle be 'W' inches.

The length of a rectangle be 'L' inches.

Area of rectangle given is 36 square inches.

Perimeter of Rectangle is 40 inches.

To Find:

Length = L = ?

Width = W = ?

Solution:

Perimeter of Rectangle is given as

$\textrm{Perimeter of Rectangle}=2\times (Length +Width)$

Substituting we get

$40=2(L+W)\\\\L+W=20\\\therefore L=20-W$

We have area of rectangle given as

$\textrm{Area of Rectangle}=Length\times Width)$

Substituting the given values we get

$36=(20-W)\times W\\W^{2}-20W+36=0$

Which is a Quadratic Equation, So by Splitting the middle term we get

$W^{2}-18W-2W+36=0\\W(W-18)-2(W-18)=0\\(W-2)(W-18)=0\\\therefore W=2\ inches\ or\ W =18\ inches$

Therefore the Length will be

$L=20-W=20-2=18\ inches\\OR\\L=20-18=2\ inches$

Therefore the Dimensions are

Length =18 inches and Width = 2 inches

Length =2 inches and Width = 18 inches

7 0

3 years ago

Find the vertex of the function f (x) = x^2+6x-2

I am Lyosha [343]

F(x)=x^2+6x-2, vertex: (-3, -11)
First, put -(6)/2(1) or -b/2a.
You then get -3 as the X value of the vertex.
Next, insert -3 back into the equation to get the Y value of the vertex.
(-3)^2+6(-3)-2 = -11
You then have -11 as the Y value of the vertex.

8 0

3 years ago

Read 2 more answers

Evaluate.

Whitepunk [10]

<span>35.3529411765 that is the answer

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4 years ago

How many 1 pound bags of trail mix should marry back to have enough trail mix without leftovers

Nady [450]

2 pounds depending on how much they eat.
Ex: If somebody is 500 pounds they might want to pack 10 gallons. Lol
If somebody doesn't eat alot then 1 pound wil be good.

4 0

3 years ago

Your math test scores are 100, 100, 90, 93, and 52. what is the mean of your scores?

mixer [17]

435.
Add em all up and you’ll get 435.

7 0

3 years ago