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victus00 [196]
3 years ago
15

Find the area of the square rug if it is side is (7X +4) feet.

Mathematics
1 answer:
likoan [24]3 years ago
5 0

Answer:

49x^{2}+56x+16 ft squared.

Step-by-step explanation:

Alright, so we are given that we have a rug that has a side of 7x+4 feet. With this information, we are able to determine the area of the square rug. Considering that it is a square rug, all the sides are equal to each other because a square has four equal sides and angles.

To solve this, you can do it in two ways.

One, write it as (7x+4)2. That 2 is supposed to represent squared.

If you know the rule, this is a perfect square trinomial.

The formula is a squared plus 2ab plus b squared. 7 and 4 are your a and b values. 7x squared is 49x squared and 4 squared is 16.

2ab, multiply 2 times 7x times 4. That is 56x.

Therefore, the area is 49xsquared plus 56x+16.

Another way is to write it like this (7x+4) (7x+4).

Since it is an exponent, we are multiplying the same thing two times. Apply the Distributive Property.

E.G. 2(x+5)= 2x+10.

With this, you are distributing two numbers into another two numbers. 7x times 7x is 49x squared and 7x times 4 is 28x. Then, go to 4. 4 times 7x is also 28 x and 4 times 4 is 16. Now, combine the like terms. 49x squared plus 28x plus 28x or 56x plus 16.

This represents your area.

I hope this helps, and I hope you have a good day!

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3 years ago
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So our problem becomes: 6x+3=3x+30

Now we solve this like a normal algebra problem.

First, get all the variables on one side. Since 3x is smaller than 6x, we'll get rid of that by subtracting it from each side.

3x+3=30 is what we end up with.

Now to get the variable alone and get rid of that constant. To do that, we are going to subtract 3 from each side.

We end up with 3x=27

Now, to get the 'x' alone, we need to divide each side by 3.

x=9 is what we end up.

BUT WE FORGOT TO DO SOMETHING

We started this as an inequality problem, so we need to end it as an inequality solution.

Since there wasn't any negatives we need to worry about (Which is something else entirely) we just need to transfer the symbol we started with down.

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Any Questions?

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3 years ago
Which of the following equations for the line of best fit represent data sets that have a positive linear relationship
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Advocard [28]

Answer:

<h2>x<-1</h2>

Step-by-step explanation:

7 > 2x+9\\\\\mathrm{Switch\:sides}\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\2x+9-9

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ASAP
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Answer:

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