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Daniel [21]
3 years ago
11

The equation y=ax2+bx+c goes through the coordinates (-6, 15), (0, -3), and (2, 7). What are the values of a, b, and c?

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
7 0

The typical method of solving this question... (School method)

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The wall is 12 feet long. They are placing studs every 18 inches. If there are studs on each end of the wall, how many studs wil
Oliga [24]

Answer:

9

Step-by-step explanation:

1 feet is 12 inches, so 12 feet is 12 * 12 = 144 inches.

If studs are placed 18 inches apart, in 144 inches, there will be:

\frac{144}{18}=8

<u><em>But remember, there is a stud at the very beginning (at 0 feet).</em></u>

<u><em /></u>

So in total there are going to be 9 studs

6 0
4 years ago
I NEED HELP ON THIS PROBLEM!!! PLEASE
Allushta [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

5x+8y=-9\implies 8y=-5x-9\implies y=\cfrac{-5x-9}{8} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{5}{8}} x-9\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}

well then, so since this equation has that slope therefore

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{-5}{8}} ~\hfill \stackrel{reciprocal}{\cfrac{8}{-5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{8}{-5}\implies \cfrac{8}{5}}}

so we're really looking for the equation of a line whose slope is 8/5 and runs through (10,10)

(\stackrel{x_1}{10}~,~\stackrel{y_1}{10}) ~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{8}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{\cfrac{8}{5}}(x-\stackrel{x_1}{10})

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3 years ago
The diagram shows a right-angled triangle.
Agata [3.3K]

Answer:

\sin( \alpha )  =  \frac{8}{14}  =  \frac{4}{7}   \\  \\  \alpha  = 34.84 \: degee

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Help me Graph -x -2y=4
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Answer: This is the graph for -x -2y=4

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