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Sloan [31]
3 years ago
14

The perimeter of a rectangular sheet of metal is 120 feet, and the area is 800 square feet. The length and width of the rectangu

lar sheet of metal are each multiplied by 6. What is the perimeter of the new sheet?
Select one:
a. 720 ft
b. 180 ft
c. 570 ft
d. 245 ft
Mathematics
1 answer:
NeTakaya3 years ago
7 0

The correct answer is A) 720 ft

In order to find this, we first have to find the measurements of the sides of the sheet metal. You can do this by first looking at the equations for perimeter and area, and plugging in the known values.

2l + 2w = P

2l + 2w = 120

lw = A

lw = 800

Now that we have these two, we can manipulate the perimeter formula to solve for w.

2l + 2w = 120

2w = =2l + 120

w = -l + 60.

Now that we have this, we can stick it in for w in the area equation.

lw = 800

l(-l + 60) = 800

Now we can distribute and set equal to zero to get an quadratic equation to solve.

l(-l + 60) = 800

-l^2 + 60l = 800

60l = l^2 + 800

0 = l^2 - 60l + 800

Now we can factor this into the following.

0 = (l - 40)(l - 20)

And when we look at this, it allows us to know the sides of the sheet metal as 40 and 20. Given these facts we can multiply both by 6 and then put back into the perimeter equation.

40 * 6 = 240

20 * 6 = 120

Now into the perimeter formula.

2l + 2w = P

2(240) + 2(120) = P

480 + 240 = P

720 = P

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Let's go through all of our options.

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C) The graph is not vertical. It has a y intercept and slope and therefore isn't. That's because it has a rate of change, and it crosses the y axis at some point depending on the slope, or rise over run. Vertical lines really don't have that.

D) Yes, the graph is a function. This is because it does not have two x values for one y, and does not fail the straight line test, which states that you can place a straight line anywhere on the graph and it can only go through one point.

E) This is false. If we put in -5 as our input, we add 1 and get -4, which is a negative output. Your output here depends on the input you put in, and the sign usually remains considering it's +1.

F) This graph does not pass through the origin. This is because the origin has a point at 0,0 and since it's x+1, it would be 0,1 instead because your output is adding one to that 0.

Hope this helps!

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<span>i=prt 
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p is principle ($6000) 
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Answer:

<h2>Function is y = x.</h2><h2>Domain: -3 \leq x \leq 2.</h2><h2>Range: -5 \leq y \leq 4.</h2>

Step-by-step explanation:

In the given image, the line passes through (-1, -1) and (1, 1).

Let the equation of the line is y = mx + c, where m is the tangent of the line and c is a constant.

Putting the co-ordinates of the points in the equation, we get -1 = -m + c and 1 = m + c

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Hence, the function is y = x.

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