Ok so let me help you with this. Here is the procedure:
<span>r² = x² + y² = 8² + 6² = 100
r = 10
x = r cosθ
y = r sinθ
sinθ = y/r = 6/10 = 3/5
</span>Hope this is what you are looking for
Answer:
<u>Step-by-step explanation:</u>
To find the tangent, you need to find the derivative with respect to x.
Then substitute x = 1 into the derivative.
Given: 0 = 2x² - xy - y²
Derivative: 0 = 4x - y' - 2yy'
Solve for y': 2yy' + y' = 4x
y'(2y + 1) = 4x
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:
Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:
Finally, solve for x:
If you had 100 balloons, you will have
40 yellow balloons.
Hope this helps!!
It can, it just depends upon the slope
Do you know what the slope is?