Answer:
Below
Step-by-step explanation:
4+6=10
8-2=6
10*6=60
Answer:
56% of her eggs were medium in may
Step-by-step explanation:
if 20% of the eggs she collected in May were small, 24% of the eggs she collected in May were large. All you have to do is add them up which is 44% and minus it by 100% which is 56%
~Batmans wife dun dun duuuun
<span>(cot²α - 4) / (cot²α - cotα - 6); Let x = </span><span>cotα
Therefore </span><span>(cot²α - 4) / (cot²α - cotα - 6) = </span><span>(x²- 4) / (x² - x - 6)
</span>
(x²- 4) = <span>x² - </span><span>2² = (x-2)(x+2) . Difference of two squares.
</span><span>(x² - x - 6); This is a quadratic expression,
Multiply the first and last terms = -6</span>x²
we think of two expression that multiply to give -6x² and add up to give -x (Middle term)
Those expression are 2x and -3x
(x² - x - 6) = <span>(x² +2x-3x - 6) = x(x+2) -3(x+2) = </span>(x+2)<span><span>(x-3)
</span> Recall </span><span>(x²- 4) / (x² - x - 6) = (</span><span>(x-2)(x+2)) / (</span><span>(x+2)<span>(x-3)) = </span></span><span>(x-2)/</span><span><span>(x-3). Cancelling out.</span> </span>
Recall x = <span>cotα, therefore:</span>
(x-2)/<span>(x-3) = </span>(cotα-2)/(cotα-3)
(cot²α - 4) / (cot²α - cotα - 6) = (cotα-2)/(cotα-3)
