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Korvikt [17]
2 years ago
13

How wide is a 3 ft doorway in a 1/4 inch scale drawing?

Mathematics
1 answer:
Crank2 years ago
4 0

Answer:

9 inches

Step-by-step explanation:

Convert from feet to inches by multiplying by 12:

3*12 = 36

Multiply by the scale factor of 1/4:

36*1/4 = 9

9 inches

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What are the solutions to the following system?
RoseWind [281]
\bf \begin{cases}
-2x^2+y=-5\\
\boxed{y}=-3x^2+5\\
----------\\
-2x^2+\left( \boxed{-3x^2+5} \right)=-5
\end{cases}
\\\\\\
-5x^2+5=-5\implies -5(x^2-1)=-5\implies x^2-1=\cfrac{-5}{-5}
\\\\\\
x^2-1=1\implies x^2=2\implies x=\pm\sqrt{2}

and since we know what "x" is, then let's substitute it on say the 1st equation

\bf -2x^2+y=-5\implies -2\left( \pm \sqrt{2} \right)^2+y=-5\implies -4+y=-5
\\\\\\
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\left( \sqrt{2}~,~-1 \right)\qquad \left( -\sqrt{2}~,~-1 \right)
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3 years ago
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Natali [406]

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Step-by-step explanation:

6 0
4 years ago
Please help I don't understand ​
Bond [772]

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Step-by-step explanation:

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What is the equation for a line passing through (-2,3) and perpendicular to y= -1/2+1 ?
nata0808 [166]

Answer:

y=2x+7

Step-by-step explanation:

<u><em>The correct question is</em></u>

what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2<em>x</em>+1 ?

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=-1/2

so

the opposite reciprocal is m=2

<em>Find the equation of the line in point slope form</em>

y-y1=m(x-x1)

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m=2\\point\ (-2,3)

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y-3=2(x+2)

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y=mx+b

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y-3=2x+4

y=2x+4+3

y=2x+7

3 0
3 years ago
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