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prohojiy [21]
4 years ago
15

25 POINTS Lines a,b,c, and d are in the same plane. Line a is parallel to line c. Lines d and c are perpendicular to line d. Bas

ed on this tell how lines a and b are related. Explain
Mathematics
1 answer:
polet [3.4K]4 years ago
5 0

Assuming that the actual question reads lines b and c are perpendicular to line d

we are given that c is perpendicular to line d and parallel to line a.  Since b is also perpendicular to line d, a b and c must all be parallel (draw it out will make a lot more sense)

So b is also parallel to line a

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$17.0625

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Need to know the population in 2015
Margarita [4]
\bf P=1110.9e^{kt}\quad 
\begin{cases}
P=1200 &\textit{in thousands}\\
t=2 &\textit{in 2002}
\end{cases}\implies 1200=1110.9e^{k2}
\\\\\\
\cfrac{1200}{1110.9}=e^{2k}\implies ln\left( \frac{1200}{1110.9} \right)=ln(e^{2k})\implies ln\left( \frac{1200}{1110.9} \right)=2k
\\\\\\
\cfrac{ln\left( \frac{1200}{1110.9} \right)}{2}=k\implies 0.0385755\approx k\implies 0.0386\approx k\\\\
-------------------------------\\\\

\bf P=1110.9e^{0.0386t}\qquad 
\begin{cases}
t=14\\
\textit{year 2015}
\end{cases}\implies P=1110.9e^{0.0386\cdot 14}
\\\\\\
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