You can graph this two ways. You can change it into slope intercept form, y=mx+b, or find the x- and y-intercepts. To change it to slope intercept form you would need to add 12x to both sides and divide both sides by 18. By doing this, you'd get y=2/3x+17/9. You'd then go up on the y-axis to 17/9 or 1.89 and place a point. You'd then go up two and to the right three and place another point. You can do this one more time and connect the points. To find the x- and y- intercepts you would plug 0 in for x and solve for y, getting 17/9, and plug 0 in for y and solve for x, getting -17/6. You'd then plot the points (-17/6, 0) and (17/9) and connect the points forming a line.

8 0

3 years ago

Find the height of the triangle

Paul [167]

There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.

We'll do the sine trig. identity, as it is the most effective.

Given an angle ' $\alpha$ ' in a right triangle, ' $sin( \alpha )$ ' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.

So, for this setup:
$sin(20)= \frac{x}{10}$

Now, we solve for x:
$x=10sin(20)=3.42$

So, answer is 3.4

7 0

4 years ago

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