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Brums [2.3K]
3 years ago
8

The length of one side of a square is 3n+2. The Perimeter of the square is 4(3n+2).Which expression is equivalent to the perimet

er.
Mathematics
2 answers:
dolphi86 [110]3 years ago
7 0
Since a square's sides are all equal to each other, and the perimeter of a square is found by adding all of the sides together, we can distribute and simplify the given expression to find the answer:

4(3n+2) = 12n + 8
Radda [10]3 years ago
6 0

Answer:

P=12n+8

Step-by-step explanation:

A square is a geometric figure that is made up of four equal and parallel sides.

The perimeter is the contour of a surface or figure.  In other words, in a figure, the perimeter is the sum of all its sides.

In this sense, since in a square all its sides are equal, the perimeter of a square is given by:

Perimeter=P=l+l+l+l=4l\\\\Where:\\\\l=Length \hspace{3}of \hspace{3}one\hspace{3} of\hspace{3} its\hspace{3} sides

So, in this case:

l=3n+2

Therefore the perimeter is:

P=3n+2+3n+2+3n+2+3n+2

Adding like terms:

P=(3n+3n+3n+3n)+(2+2+2+2)=12n+8

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Calvin is painting an area that is 115 square feet. He is able to paint 2.5 square feet every 2 minutes. At this rate , how long
Verdich [7]

Answer:

Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

Step-by-step explanation:

First of all we know that the total surface are that Calvin is painting is 115 square feet.

The rate at which Calvin is painting refers to the surface area he covers every 2 minutes. This is 2.5 square feet every 2 minutes.

we can set up a relation to solve this problem

If Calvin paints 2.5 ft^{2} in 2 minutes

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By cross multiplying, we have x= \frac{2 \times 115}{2.5}=92 minutes

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3 0
3 years ago
Very urgent... I need it right now.. please help me with explanation!
aliina [53]

Answer:

a) Water height, H(g) = 8g^2 + 3g -4 - [9g^2 -2g -5] = 8g^2 + 3g -4 -9g^2 + 2g +5 = -g^2 +5g +1

b) g = 1

H(g) = -(1)^2 + 5(1) + 1 = -1 + 5 + 1 = 5

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g=3

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Find the vertex of the parabole

The vertex is at the mid point between the two roots.

To find the roots you can use the quadratic equation

The result is g = 5/2 + [√29]/2 and g = 5/2 - [√29]/2

The middle poin is 5/2 = 2.5

Now find H(2.5) = -(2.5)^2 + 5(2.5) + 1 = 7.5 ≈ 7.3

hope this helps

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Answer:

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Step-by-step explanation:

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You will find that when alternating signs are required, the term (-1)^n will be a factor. An offset of ±1 can be added to the n to make the initial sign be what you want. Here we want +1 for n=1, so an exponent of (n-1) is appropriate.

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