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Reptile [31]
3 years ago
14

The scale drawing represents an existing barn. The shortest side of the barn measures 150 meters. If a new barn that is 2/3 its

size replaces the existing barn, what will be the scale of this drawing to the new barn?
Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

Answer:

1:1.5

Step-by-step explanation:

We have that 150 meters in the reality and the new size in the drawing is 2/3, therefore

150mtrs(old) * 2/3 = 100mtrs(new), also 100 mtrs. in the drawing are 150mtrs. in the reality or 1 is to 1.5

1:1.5

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Which expression is equivalent to m^2-13m-30?
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Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

m^2-13m-30

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

(m-15)(m+2)

If you don't want to apply the method above, you can use the quadratic formula:

x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}

Where:

a=1\\b=-13\\c=-30

When you susbstitute values you obtain that:

x=15\\x=-2

Then you can rewrite the equation as (m-15)(m+2)

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