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ElenaW [278]
3 years ago
7

Find the slope of the line that is parallel and perpendicular -7x-2y=4

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0

\bf -7x-2y=4\implies -2y=7x+4\implies y=\cfrac{7x+4}{-2}\implies y=\cfrac{7x}{-2}+\cfrac{4}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{2}} x-2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{7}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{7}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{7}}}

now, what's the slope of a line parallel to that one above?  well, parallel lines have exactly the same slope.

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Answer:

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Step-by-step explanation:

a) the the length is 12 cm and the width is 6 cm. Area = lw

A=(12)(6)

A=72 cm^2

b) base equals 3 cm

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A=1/2(3)(6)

A= 9 cm^2

c) base = 3 cm

height=6 cm

Area=1/2(3)(6)

A=9 cm^2

d) to to find the area of the parallelogram, You need to use Pythagorean theorem for one of the triangles.

3^2 + 6^2 = x^2

9 + 36 = x^2

45=x^2

✓45 = ✓x^2

x = 6.71 cm

12-3 = 9

now that you have all the sides for the parallelogram, multiply 6.71 times 9 to get the area.

A= 60.39 cm^2

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3 years ago
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Step-by-step explanation:

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