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Thepotemich [5.8K]
3 years ago
10

Josh is putting up a fence around a garden that is next to a wall. He only has 54 feet of fence and the length of the garden mus

t be 6 feet more than twice the width. In the system of equations that represent the situation, let l be the length of the garden and let w be the width: 2w + l = 54 l = 2w + 6
Mathematics
2 answers:
vova2212 [387]3 years ago
7 0

Answer:

Length = 12 feet

Width = 30 feet

Step-by-step explanation:

Let l be the length of the garden and let w be the width:

We have system of equations

2w + l = 54

l = 2w + 6

We substitute 2w + 6 for l

2w + 2w + 6 = 54

4w + 6 = 54

4w = 54 - 6

4w = 48

w = 48/4

w = 12 feet

Width(w) = 12 feet

We find the Length

l = 2w + 6

l = 2(12) + 6

l = 24 + 6

I = 30 feet

Kazeer [188]3 years ago
7 0

Answer:

B)It is 12 feet wide and 30 feet long.

this answer is more simply

Step-by-step explanation:

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lana [24]

Answer:

Part A:

To find the total length of the two sides you want to add them together:

(3x^2-2x-1)+(9x+2x^2-2)= you want to combine all like terms

3x^2+2x^2=5x^2, you add your coefficients and keep the exponents the same

-2x+9x=7x, you would combine like terms

-1-2=-3, you would subtract according to Keep, Change, Change

You now have:

5x^2+7x-3= Sides A+B

5x^2+7x-3

Part B:

To find the length of the third side you want to take the perimeter of the triangle and subtract it from our answer in part A

(5x^3+4x^2-x-3)-(5x^2+7x-3)

When subtraction polynomials we want to change the subtraction sign to addition and change the signs of the other number to the opposite sign to prevent making mistakes from subtraction, so you're new equation will look like this:

(5x^3+4x^2-x-3)+(-5x^2-7x+3)

Now we add all like terms again

5x^3, doesn't combine with any others so we leave it the same

4x^2-5x^2=-x^2, subtract them but remember to keep the exponents the same

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So now we are left with

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Third side equals 5x^3-x^2-8x

Part C:

For part A we added to get the total of sides B and A

For part B we subtracted the total perimeter from the total lengths of B and A, to figure out what C equals

Hope this helps ;)

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3 years ago
Solve for x ....... thanks !
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If we can match teh bases we can solve
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16^{3x+2}=32^{-2x-7}
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