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Trava [24]
3 years ago
10

A farmer is painting a new barn. He will need to calculate the surface area of the barn to purchase the correct amount of paint.

In which of the following units can the farmer expect to calculate the surface area? m m3 ft ft2
Mathematics
1 answer:
stira [4]3 years ago
3 0

Answer:

ft^2

Step-by-step explanation:

Here in this question, we have a farmer who wants to purchase the correct amount of paint, but needs to know the surface area of the barn. We now need to select the correct unit in which the farmer would have his surface area.

In other words, what the question is simply asking us is to select which of the given units would serve as the appropriate unit for the surface area of the barn.

Mathematically, when we talk about area, we are simply talking about multiplying the length of a side with the length of another side.

We know the barn is not a single shape but shaped in terms of different segments which have different area and can be added together to give the total surface area of the barn.

Now, like we said above, we are multiplying a length by the length of another side, no matter the type of shape we are considering.

What this means is that our power( index) won’t be more than 2 since we can only multiply two sides of a particular length at a time.

So the option that would give the correct answer would be the option which has its power raised to the power of two.

The only option that fits the criterion is the last option which is the ft^2 and this in fact is the correct answer

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If f(x)=2x-1 and g(x)=x^2-4, what is g(f(x))
lesantik [10]

Answer:

4x^2 - 4x - 3

Step-by-step explanation:

f(x) = 2x - 1

g(x) = x^2 - 4

g(f(x)) = ?

[substitute the x of g(x) with f(x)]

g(x) = x^2 - 4

g(f(x)) = (2x - 1)^2 - 4

[solve]

[binomial * binomial = quadratic equation]

[use FOIL method (first, outer, inner, last)]

g(f(x)) = (2x - 1)(2x - 1) - 4

g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4

[combine like terms]

g(f(x)) = 4x^2 - 2x - 2x + 1 - 4

g(f(x)) = 4x^2 - 4x - 3

8 0
2 years ago
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Answer:

c

Step-by-step explanation:

3 0
3 years ago
Write the equation of a line that is parallel to 3x+2y=10 and passes through the point (4,-5). Answer in slope-intercept form.
SCORPION-xisa [38]

The equation of line is:

y = \frac{-3}{2}x+1

Further explanation:

The standard form of equation in point-slope form is:

y = mx+b

Given equation is:

3x+2y=10

We have to convert it into point slope form, for which we have to isolate y on one side of equation

3x+2y = 10\\2y = -3x +10\\y = \frac{-3}{2}x + \frac{10}{2}\\y = \frac{-3}{2}x + 5

Comparing with standard form:

m = -3/2

As the new line is parallel to given line, their slopes will be equal

So,

y = \frac{-3}{2}x+b

To find the value of b, putting the given point (4,-5) in equation

-5 = \frac{-3}{2}(4)+b\\-5 = -6+b\\b = -5+6 \\b = 1\\So\ the\ equation\ is:\\y = \frac{-3}{2}x+1

Keywords: Point-slope form, equation of line

Learn more about point-slope form of equation at:

  • brainly.com/question/1577690
  • brainly.com/question/1563227

#LearnwithBrainly

4 0
3 years ago
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