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3 years ago

Pls help me it would mean a lot <3

Mathematics

2 answers:

LekaFEV [45]3 years ago

5 0

Answer:

The equation of the line will be:

$y\:=\:\frac{2}{5}x$

Step-by-step explanation:

We know the slope-intercept of a line equation is

$y = mx+b$

where m is the slope and b is the y-intercept

Given two points on a line graph

(0, 0)

(25, 10)

Finding the slope between two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)$

$m=\frac{10-0}{25-0}$

$m=\frac{2}{5}$

We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept = b = 0

Now, substituting b = 0, and m = 2/5 in the slope-intercept form

$y = mx+b$

$y\:=\:\frac{2}{5}x+0$

$y\:=\:\frac{2}{5}x$

Therefore, the equation of the line will be:

$y\:=\:\frac{2}{5}x$

katen-ka-za [31]3 years ago

3 0

I believe it would be y=2.5x

Have an amazing day :3

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To get cos 240 degrees:

240 degrees falls in the third quadrant.

In the third quadrant, only tangent is positive. Hence, cos 240 will be negative.

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$\begin{gathered} cos(180+60)=cos180cos60-sin180sin60 \\ sin180=0 \\ cos60=\frac{1}{2} \\ cos180=-1 \\ sin60=\frac{\sqrt{3}}{2} \\ \\ Thus, \\ cos180cos60-sin180sin60=-1(\frac{1}{2})-0(\frac{\sqrt{3}}{2}) \\ cos180cos60-sin180sin60=-\frac{1}{2}-0 \\ cos180cos60-sin180sin60=-\frac{1}{2} \\ \\ Hence, \\ cos240^0=-\frac{1}{2} \end{gathered}$

To get tan 240 degrees:

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In the third quadrant, only tangent is positive. Hence, tan 240 will be positive.

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$\begin{gathered} cot\text{ }x=\frac{1}{tan\text{ }x} \\ cot240=\frac{1}{tan240} \\ tan240=\sqrt{3} \\ \\ Hence, \\ cot240=\frac{1}{\sqrt{3}} \\ \\ Rationalizing\text{ the denominator;} \\ cot240=\frac{1}{\sqrt{3}}\times\frac{\sqrt{3}}{\sqrt{3}} \\ \\ Thus, \\ cot240^0=\frac{\sqrt{3}}{3} \end{gathered}$

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1 year ago

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Step-by-step explanation:

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