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torisob [31]
2 years ago
6

The perimeter of a rectangular piece of paper is 52 inches. The area is 133 square inches. What are the dimensions of the paper?

Mathematics
1 answer:
valkas [14]2 years ago
3 0

Answer:

7 inches by 19 inches

Step-by-step explanation:

We can use a system of equations for this.

<em>x=length</em>

<em>y=width</em>

2x+2y=52 (Perimeter)

xy=133 (Area)

We must find x and y that fit both these equations.

Hope this helps :)

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If the perimeter is 284, what is the value of a? <br> Please show work xx
devlian [24]

Answer:

8

Step-by-step explanation:

Perimeter is 284 means the sum of the side measurements is 284.

That is, we have to solve:

(6a+8)+(12a)+(10a-4)+(6a+8)=284

Combine like terms:

(6a+12a+10a+6a)+(8+0+-4+8)=284

Simplify:

34a+12=284

Subtract 12 on both sides:

34a=284-12

Simplify:

34a=272

Divide both sides by 34:

a=\frac{272}{34}

Simplify:

a=8

3 0
4 years ago
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write the equation of the line perpendicular of the graph of y=-1/4x+3 and passes through the point (-2,4)
Dafna11 [192]
Y=4x+12, I Hope this helps you!

6 0
3 years ago
Alex is x years old. June is 7 years older than Alex. In 5 years, their total combined age will be 31 years.
shepuryov [24]
Let Alex's age is x and June's age is y y - x = 7 .........(1)
(x+5) + (y+5) =31 
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by adding 1 and 2 
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y = 14 
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8 0
3 years ago
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Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7
labwork [276]

Answer:

y = (-3/2x) + (35/4)

Step-by-step explanation:

So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:

2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)

So, the slope of the perpendicular line will be (-3/2x)

Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):

8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)

So, y = (-3/2x) + (35/4)

Hope that helps! :D

4 0
3 years ago
Find the slope of the line that passes through the points (10,8) and (4,12)​
JulsSmile [24]

Answer:

The slope is -2/3

Step-by-step explanation:

To find the slope of a line between two points, we use the equation

m = (y2-y1)/ (x2-x1)

where (x1,y1) and (x2,y2) are the two points

m = (12-8)/(4-10)

   = 4/-6

   = -2/3

The slope is -2/3

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3 years ago
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