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Licemer1 [7]
4 years ago
5

Two similar rectangular prisms have a scale factor of 2:3. The larger prism has a volume of 30 cubic centimeters. What is the vo

lume of the smaller prism in cubic centimeters?
Mathematics
1 answer:
DanielleElmas [232]4 years ago
3 0
30/3=10
10*2=20
the volume of the smaller figure is 20 cubic cm
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Need help!<br> A. y= -x+2<br> B. y=2x+2<br> C. y=2x-1<br> D. y=5x+2
Anastaziya [24]

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\large\boxed{y=5x+2}

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\text{Let:}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\\text{then}\\\\k\ ||\ l\iff m_1=m_2\\\\k \perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\==================================

\text{We have the equation of a line:}\\\\y=-\dfrac{1}{5}x+4\to m_1=-\dfrac{1}{5}\\\\\text{Therefore}\\\\m_2=-\dfrac{1}{-\frac{1}{5}}=-\left(-\dfrac{5}{1}\right)=5\\\\\text{Initially, our equation has the form}\\\\y=5x+b

\text{The line should pass through point (-1, -3).}\\\text{We substitute the coordinates of the point into the equation:}\\\\-3=5(-1)+b\\-3=-5+b\qquad\text{add 5 to both sides}\\-3+5=-5+5+b\\2=b\to b=2\\\\\text{Finally:}\\\\y=5x+2

5 0
4 years ago
Read 2 more answers
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