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taurus [48]
3 years ago
5

Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug?

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0
A rectangle has 2 sets of 2 sides; each set has the same length or width (depending on where it is on the rectangle).

If you have 2 sides with length, which can be expressed as 2L, and 2 sides of width, which can be expressed as 2(5) because they gave you the width in the problem, and the perimeter is 16...

2L + 2(5)=16. All you have to do is solve for <em>L</em>, which means <em>length</em>. 
<em />
2*5 is 10.

2L + 10 =16.

Subtract 10 on both sides.

2L = 6.

Divide both sides by 2.

L=3.

The length is 3. Let's check to make sure we're right:

2(3) + 2(5) = 16.

2*5 is 10, and 2*3 is 6. 6 + 10 is 16. We did it! I hoped this helped!
<em>
Please don't forget to choose which answer is Brainliest!</em>

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Step-by-step explanation:

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These are the first sentences in the short story, "The Gift of the Magi," by O. Henry:
Aleonysh [2.5K]

I think the answer to this is: 25q + 10d + 5n + 60 = 87

The story says that you have 1 dollar and 87 cents; 60 cents of which is pennies. So, if you’re using an equation involving quarters, dimes and nickels, the total equation should equal to 87 cents (since that dollar bill could not be broken down to cents). 

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Determine whether the statement is true or false. Justify your answers.
marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

  • If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

  • That means reflection about the x-axis change the sign of y
  • y = f(x) → reflection about x-axis → y = -f(x)

  • If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

  • That means reflection about the y-axis change the sign of x
  • y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0
3 years ago
Can someone please help
AleksandrR [38]

Answer:

(x+5) and (x-7).

Step-by-step explanation:

The given equation is :

x^2-2x-35

We need to write it in factored form.

We know that,

7×5 = 35 and 7-5 = 2

So,

x^2-2x-35=x^2-7x+5x-35\\\\=x(x-7)+5(x-7)\\\\=(x+5)(x-7)

Hence, the required factors are (x+5) and (x-7).

3 0
3 years ago
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