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3 years ago

Graph each integer on the # line above

Mathematics

1 answer:

bija089 [108]3 years ago

4 0

Easy ok o goes in the middle -1 goes on the left at the end and -2 goes next the -1 and +4 goes on the right at the end but count 1 2 3 and at the fourth line it goes there

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the Johnsons want to cover their backyard with new grass their backyard is rectangular with a length of 3x - 2 feet and a width

Andre45 [30]

<h2>Hello!</h2>

The answer is:

The area that the want to cover with new grass will be:

$Area_{grass}=8x^{2} -12x-22$

If we want to calculate what is the ara of the region of the backyard that they want to cover with new grass, we need to calculate the area of the backyard, calculate the area of the swimming pool and its patio, and the last step is to subtract the area of the swimming pool and its patio to the total area of the backyard.

So, to calculate the areas, we need to use the following formula:

$Area=Length*Width$

Also, we need to remember how the distributive property works, since we are going to need it.

We have that:

$(a+b)(c+d)=ac+ad+bc+bd$

We are given the following information:

For the backyard we have:

$Length=3x-2\\Width=3x+1$

For the swimming pool and its patio:

Since there it's not mentioned, let be the first expression the length, and the second one, the width.

$Length=x+4\\Width=x+5$

Then, calculating we have:

Backyard:

$Area_{backyard}=(3x-2)*(3x+1)=9x^{2}+3x-6x-2=9x^{2}-3x-2$

Swimming pool and patio:

$Area_{swimmingpool}=(x+4)*(x+5)=x^{2}+5x+4x+20=x^{2}+9x+20$

Now, calculating the area that they want to cover with new grass, we have:

$Area_{grass}=Area_{backyard}-Area_{swimmingPool}\\\\Area_{grass}=(9x^{2}-3x-2)-(x^{2}+9x+20)\\\\Area_{grass}=9x^{2} -x^{2} -3x-9x-2-20\\\\Area_{grass}=8x^{2} -12x-22$

Hence, we have that the area that the want to cover with new grass will be:

$Area_{grass}=8x^{2} -12x-22$

Have a nice day!

3 0

3 years ago

What is x squared minus x squared?

sertanlavr [38]

I think it is 0 because they cancel each other out!

3 0

4 years ago

What is the value of the expression....

Ludmilka [50]

The right answer is Nine.

4 0

3 years ago

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If you have a balance of 1,000 on your edit card and the interest rate is 17 3/4% a year in order to pay off the $100 in 5 years

ankoles [38]

Answer:

$2,263.63

Step-by-step explanation:

You start with "if" but don't end with what your goal is. I will assume that you want to know how much you'll have to pay after 5 years to pay off this $1,000 loan.

Use the compound amount formula A = P(1 + r)^5. Replacing P with $1,000, r with 0.1775 and t with 5 years, we get the payoff balance

A = $1,000(1 + 0.1775)^5 = $2,263.63

6 0

3 years ago

I need help im struggling

Vladimir79 [104]

Answer:

62.80

Step-by-step explanation:

I hope this helped you out!!

7 0

3 years ago

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