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3 years ago

Is this graph a function? Explain why or why not.

Mathematics

1 answer:

melomori [17]3 years ago

8 0

Answer:

yes

Step-by-step explanation:

becuase it passes the virtical line test

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Write an equation of a line that is perpendicular to the line y=2/3x and passes through origin

sesenic [268]

keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?

$\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}$

so we're really looking for the equation of a line whose slope is -3/2 and runs through (0,0).

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{0})\implies y=-\cfrac{3}{2}x$

7 0

3 years ago

9(3+c+4) use distributive property to simplify the expression

azamat

9(3+c+4)

9(7+c)

9(7)+9c

Answer:

63+9c

6 0

3 years ago

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Jaime went to the grocery store and bought a six-pack of soda for $1.50. How much did he pay for each soda in the pack?

Ira Lisetskai [31]

Answer:

Step-by-step explanation:

1.50 / 6

0.25

4 0

3 years ago

Your friend prints a 4-inch by 6- inch photo for you from the school dance. All you have is an 6-inch by 8- inch frame. Can you

GarryVolchara [31]

The picture cannot be dilated to fit the frame. This is because one side of the picture is already 6-inches. So, therefore you cannot dilate the picture to fit the frame.

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3 years ago

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If l || m find the value of y

Darina [25.2K]

That means they are parallel so it’s 6

5 0

3 years ago