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xenn [34]
3 years ago
5

Brooklyn expanded her square garden. She made one side 12 feet longer and the other side 15 feet longer. The expanded rectangula

r garden will have an area of no more than 2,000 square feet.
Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0

Answer:the answer is180ft

Step-by-step explanation:

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The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm
klemol [59]

Answer:

x^2-10x+18=0

<em>a</em> = -10 and <em>b</em> = 18.

Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

20=2(x + w)

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

10=x+w

And solve for <em>w:</em>

<em />w=10-x<em />

So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.

<em />

According to the Pythagorean Theorem:

a^2+b^2=c^2

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

<em />x^2+w^2=8^2<em />

Simplify and substitute:

x^2+(10-x)^2=64

Square:

x^2+(100-20x+x^2)=64

Isolate the equation. So:

2x^2-20x+36=0

Since the leading coefficient is one, divide both sides by two:

x^2-10x+18=0

Therefore, <em>a</em> = -10 and <em>b</em> = 18.

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2 years ago
Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP
dexar [7]
Selections 2, 3, 5, 6 are polynomials.

1 and 4 are not. The coefficients don't have to be integers, but the powers of the variables need to be positive integers. In 1, you have x^-1. in 4, you have x^(1/2).
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3 years ago
4/7 - 2/4 plz help thank you
Yanka [14]
1/14 is you answer
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www.calculatorsoup.com



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I need helpppp pleasee
zzz [600]
The problem is -2a - 5 > 3
we have - 2a>3+5
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5a +4b+c-3a-c+4b simplified
MAVERICK [17]

Answer:

2a + 8b

Step-by-step explanation:

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