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3 years ago

6

what is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?

1 answer:

iragen [17]3 years ago

6 0

Answer:

y = 2/5x + 4/5

or

y = 2/5x +0.8, both mean the same thing

Step-by-step explanation:

Perpendicular line would mean that the line has to go through line m at a 90 degree angle.

The first thing I would do is look at the slope already given to us for line m and flip it around and make the negative fraction a positive one so it goes up.

-5/2x -> 2/5x

The next would be to find where the line would intercept on the y-axis. It already told us it will go through the point (3,2). So with the slope we already have, count 5 to the left and 2 down. At this point I plotted this entire thing in a graphing calculator. Anyways the answer:

y = 2/5x + 4/5

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2 years ago

The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

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Step-by-step explanation:

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$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

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$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

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