Which of the following scatterplots represents the data shown below?

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

Step-by-step explanation:

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Two perpendicular lines intersect at the origin. If the slope of the first line is -1/2, what is the equation of the second line

Dovator [93]

bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes.

now, they both intersect at 0,0, namely they both pass through it, we know the slope of the first one, so

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{2}{1}\implies 2}}$

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

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

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3 years ago

Jessica and Nancy are members of different video game libraries. Jessica pays a membership fee of $40, and she pays $5 for every

ad-work [718]

Jessica pays a membership fee of $40 so that's given to us <span>Jessica has a membership fee of $40 (given)
Nancy has a membership fee of $30 (y intercept of the equation)
</span>so how much is jessica going to pay is $10 more than Nancy

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3 years ago

Read 2 more answers

Sergeu [11.5K]

Answer:

$9C=5(F-32)$