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Lapatulllka [165]
3 years ago
5

-6c^3(13c^4)xxxxxxxxxxxxxxc​

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

-78c^7

Step-by-step explanation:

-6c^3(13c^4)

  • If we use the exponential product rule, then we can add these two exponents together. Using these rules, you can add exponents together when multiplying two values, or you can subtract two exponents when dividing two values. I'll show them below.
  1. a^b*a^c=a^b^+^c
  2. \frac{a^b}{a^c}=a^b^-^c

-6(13c^3^+^4)

  • Now we combine the rest together like a normal problem and add the exponents.

-78c^7

  • This is our final answer.

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Evgen [1.6K]

Answer:

1a) length = 4.5x - 18, or 3.5x - 14. width = 2x-2 (make sure you write the expression)

b) perimeter = 13x-40  (make sure you write the expression)

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Step-by-step explanation:

1a) to find the length, we need to add all the terms that make up the length. the terms are 2x-10 , x-2 , 1/2x-4 , and x-2

now let's add the terms

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you can also find the length of the other opposite side, but it will equal the same thing we just got so it isn't necessary, but it's 3.5x - 4 (do the same thing we did previously)

the width is made up of two terms, x - 2 and x.

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the perimeter of a rectangle is  twice the width plus twice the length

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so we substitute our answers from 1a

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simplify the equation to get P rectangle = 13x - 40

remember to write the answer as just 13x-40, since it's an expression

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we use 13x-40 from 1b to answer this

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x = 14

extra:

you can find x just by knowing the lengths. since the lengths are 4.5x - 18 and 3.5x -4, just set them equal to find x, because lengths of a rectangle are equal

4.5x - 18 = 3.5x -4

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