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Goryan [66]
3 years ago
6

Find an equation of the line parallel to y= 1/3x +1 and that passes through the point (3,5)

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0
So in order to find the line you’ll have to submit the point (3,5) and the slope into the point slope formula : y-y1= m(x-x1)

Y-5= 1/3(x-3)

Solve(turn to y intercept form):

Y-5= 1/3x -1



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\bf \textit{area of a trapezoid}\\\\&#10;A=\cfrac{h(a+b)}{2}~~&#10;\begin{cases}&#10;a,b=\stackrel{bases}{parallel~sides}\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;a=8\\&#10;b=\stackrel{DC}{16}\\&#10;h=4\sqrt{3}&#10;\end{cases}\implies A=\cfrac{4\sqrt{3}(8+16)}{2}&#10;\\\\\\&#10;A=2\sqrt{3}(24)\implies \boxed{A=48\sqrt{3}}


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\bf \textit{area of a trapezoid}\\\\&#10;A=\cfrac{h(a+b)}{2}~~&#10;\begin{cases}&#10;a,b=\stackrel{bases}{parallel~sides}\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;a=6\\&#10;b=\stackrel{DC}{24}\\&#10;h=9&#10;\end{cases}\implies A=\cfrac{9(6+24)}{2}&#10;\\\\\\&#10;A=\cfrac{9(30)}{2}\implies \boxed{A=135}

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