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Anvisha [2.4K]
3 years ago
15

A rectangle is 12m longer than it is wide. Its perimeter is 68m. Write and equation and show steps to find its length and width.

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer:

  length: 23 m; width: 11 m.

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of its length and width, so that sum is 34 m. Then you can write two equations in length and width:

  l + w = 34

  l - w = 12

Adding these together gives you ...

  2l = 46

  l = 23 . . . . . . divide by 2

Then the width is

  w = 23 -12 = 11

The length and width are 23 m and 11 m, respectively.

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If f(x) = 1x1 + 9 and g(x) = -6, which describes the value of (f + g)(x)?
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Answer:

The answers are "(f+g)(x)> 3 for all values of x" and "(f+g)(x)<6 for all values of x".

Step-by-step explanation:

  • If f(x) = 1x1 + 9 =10, then f(x) is a constant for every value of x, which means that y=f(x) will take the value of 10 no matter which value takes x.
  • If g(x)= -6, then  g(x) is a constant for every value of x, which means that it will take the value of -6 no matter the value of x.
  • (f+g)(x)=10 + (-6) = 10 - 6= 4. Then, no matter the value of x, the function (f+g)(x) will equal 4 (a constant).
  • According to the available options, both "(f+g)(x)>3" and "(f+g)(x)<6" are true, because (f+g)(x)=4>3 and (f+g)(x)=4 <6.
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Divide: 16x^4y^10 / 8x^7y^2
Hatshy [7]
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A six-sided die is rolled. (Enter your probabilities as fractions.)(a) What is the probability that a 3 will result?
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Answer:

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Step-by-step explanation:

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Marizza181 [45]

Answer:

Step-by-step explanation:

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