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serious [3.7K]
3 years ago
9

Please help 9.4c−1.01*(22b−5.2c)+b

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

Answer:

14.652c-21.22b

Step-by-step explanation:

multiply parentheses by -1.01

9.4c-22.22b+5.252c+b

collect like terms

14.652c-21.22b

Gre4nikov [31]3 years ago
4 0

Answer:

14.652c - 21.22c

Step-by-step explanation:

We need to expand the parentheses by using distribution. Distribution is essentially where you take the sum of the product of the outside term and each of the inside terms.

Here, the outside term is -1.01 and the inside terms are 22b and -5.2c. So, we have:

-1.01 * (22b - 5.2c) = -1.01 * 22b + (-1.01) * (-5.2c) = -22.22b + 5.252c

Now add this back to the previous equation:

9.4c − 1.01 * (22b − 5.2c) + b

9.4c - 22.22b + 5.252c + b = 14.652c - 21.22c

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For this case we have that by definition, the area of a triangle is given by:

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Substituting we have:

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We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

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Thus, the base of the triangle is:b = 6 + 2 (8) = 22

Answer:

The base of the triangle is 22 units.

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