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Darina [25.2K]
3 years ago
14

Suppose the length and width of the box in exercise 12 double. Does the surface area S double? Explain

Mathematics
1 answer:
Blizzard [7]3 years ago
4 0
No, it does not.

In general, surface area is the sum of the areas of each face of a prism.  In a rectangular prism, we have length, width, and height.  

The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w.  This means that together, it is 2lw.

The area of the left and right faces of the prism is the same, and can be represented as l*h.  This means that together, it is 2lh.

The area of the front and back faces of the prism is the same, and can be represented as w*h.  This means that together, it is 2wh.

This gives us the equation

SA = 2lw+2lh+2wh

If we double the length and width, making them each 2l, we then have:

SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
      = 2(4lw) + 4lh + 4wh
      = 8lw + 4lh + 4wh

If the surface area had been doubled, we would expect 
4lw + 4lh + 4wh

No, it is not doubled.
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Hello there!

First, we need to know when do we have a linear equation.

<span>"A linear equation is an equation between two variables that gives a straight line when plotted on a graph."

I am honestly not good with graphing these kind of equation, so I usually used an online graphing to help me.

Remember we have a linear equation when we have straight line.

Graph the first equation(see picture 1) Y = 4/x + 3
Answer: No, it is not a linear equation. As you can see the lines are not straight. Got it? I hope so :)

P.S Unfortunately, I am not sure what is happening but I can load the pictures of the graph. So here is the link to the graph for the first equation.

Now let's work with the second equation y = -2x - 4

Answer: Yes it is a linear equation. Why? Because the line is straight. See this link for the graph.

I tried my best, I hope you understand and if you have questions, just let me know.

As always, I am glad to be your helper!


</span>

5 0
3 years ago
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Answer:

30

Step-by-step explanation:

30/3 = 10

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Hope this helps!

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3 years ago
What line describes the line parallel to y= -1/3x+5 ?
Alisiya [41]

Answer:

C. y = -1/3 + 1

Step-by-step explanation:

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2 years ago
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Nitella [24]

Answer:

A square that has sides of 4.5 units, or a rectangle that is 1 unit wide and 8 units long.

Step-by-step explanation:

First, you need to find the perimeter in the first place. Since there are two sides of the same number, you would double each number.

2 would become 4

6 would become 12

Add 4+12=18

So, our rectangle has to have a perimeter of 18 units. Because a square is a rectangle, you can divide 18 and 4, since a square has 4 sides. You get 4.5. Each side can be 4.5 units.

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3 years ago
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