Which expression gives the distance between the points

Mathematics

1 answer:

Anna35 [415]3 years ago

6 0

Answer:

D. √((2 +4)² +(5 -8)²)

Step-by-step explanation:

The distance is found using the formula ...

d = √((x1 -x2)² +(y1 -y2)²)

Selection D has this formula properly filled in with the values ...

(x1, y1) = (2, 5)

(x2, y2) = (-4, 8)

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write the equation of the line parallell to the given line passing through the given point in slope intercept form y=-4x-2 (0, -

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Step-by-step explanation:

slope: -4

y + 1 = -4(x - 0)

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What equation is graphed in this figure?

Ksivusya [100]

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$(\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})$

keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.