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erik [133]
3 years ago
14

A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?​

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

9514 1404 393

Answer:

  3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

  P = 2(L+W) = 14a

Using the second equation, we can find L:

  L +W = 7a . . . . . divide by 2

  L = 7a -W

Substituting into the area formula gives the quadratic ...

  (7a -W)(W) = 12a^2

  W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

  (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

  W = 3a, L = 4a

  W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

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Rationalise the denominator
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Step-by-step explanation:

1 / sqrt(3)

Multiply the top and bottom by sqrt(3)

1/ sqrt(3) * sqrt(3)/ sqrt(3)

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sqrt(3) /3

4 0
3 years ago
Read 2 more answers
Which of the following coordinates is a solution to the linear equation?
Dima020 [189]
Right this is pretty simple all you do is sub the points to the equation given.
So first try the first point (2,-1) in y=-3x+7
==> -1=-3(2)+7
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Then try (1,10)
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Next try (3,-2)
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Finally try the last points to make sure you are correct.
==> -8=-3(-5)+7
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Therefore the only coordinates that satisfies the equation is (3,-2)
7 0
3 years ago
Which of the following values "completes the square," or creates a perfect square trinomial, for x2 + 6x + ___?
jekas [21]
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We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!
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Answer:

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Entonces 2.4x = 84 yx = 84 / 2.4 = 840/24 = 35.

El otro número es 84-35 = 49

Step-by-step explanation:

Espero que te ayudo

Dejame saber : )

7 0
3 years ago
A farmer owns 70 acres of land. Of the 70 acres, only 65% can be farmed. How many acres are available for farming? acres are ava
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