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matrenka [14]
2 years ago
9

1. A line passes through the point (2, k) and (4k, 5) and has a slope of 1/2 . Find the value of k.

Mathematics
1 answer:
Doss [256]2 years ago
5 0

(\stackrel{x_1}{2}~,~\stackrel{y_1}{k})\qquad (\stackrel{x_2}{4k}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{k}}}{\underset{run} {\underset{x_2}{4k}-\underset{x_1}{2}}}~~= ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}} \\\\\\ 10-2k=4k-2\implies 10=6x-2\implies 12=6k\implies \cfrac{12}{6}=k\implies 2=k

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The diagram shows a prism.
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Answer:

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Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = \frac{1}{2}(\text{Base})(\text{Height})

Area of 2 similar sides = Base × Height

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Area of the second rectangular side with dimensions 8cm × 20cm

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Total surface area of the given triangular prism = 120 + 340 + 160 + 300

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shusha [124]
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