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AlekseyPX
3 years ago
7

On a scale drawing of a museum, 1 centimeter equals 712 meters. The width of the museum is 90 meters. What is the width of the m

useum on the scale drawing?On a scale drawing of a museum, 1 centimeter equals 712 meters. The width of the museum is 90 meters. What is the width of the museum on the scale drawing?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0
Convert meters into cm. 90m=900cm, then multiply that by 712 since 1cm=712m. 900*712=640,800m. hope this helps :)
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Slav-nsk [51]
<span>x^2 + 15x + 56.25 = 105.25

    "Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
 x^2 + 15x + 56.25 = 49 + 56.25
 Which is
 x^2 + 15x + 56.25 = 105.25
  Which is the answer desired.

   Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
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   And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
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   And let's find X.
 x+7.5 = 10.25914226
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   x+7.5 = -10.25914226
 x = -17.75914226

   So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
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2 years ago
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