2sinxcosx - sin(2x)cos(2x) = 0
<span>Part I </span>
<span>The double angle identity for sine states that sin(2x) = 2sinxcosx </span>
<span>Thus we get: </span>
<span>sin(2x) - sin(2x)cos(2x) = 0 </span>
<span>Part II </span>
<span>sin(2x)(1 - cos(2x)) = 0 </span>
<span>Part III </span>
<span>Either sin(2x) = 0 or </span>
<span>1 - cos(2x) = 0 </span>
<span>=> cos(2x) = 1 </span>
<span>For sin(2x) = 0, this is true for </span>
<span>2x = n(pi) where n = 0, 1, 2, .... </span>
<span>x = n(pi/2) </span>
<span>For cos(2x) = 1, this is true for </span>
<span>2x = n(pi) where n = 0, 2, 4, .... </span>
<span>x = n(pi/2)
</span>
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Lets say cookies = x and days = y.
2x times y = 15.
8x times y = 45.
Answer: -5
Step-by-step explanation:
The formula for calculating the slope of a line is given as :
m=\frac{y_{2} }{x_{2}} - \frac{y_{1}}{x_{1}}
= 8
= 6
= 5
= 15
substituting into the formula , we have
m = 
m = 
m = -5
Therefore the slope is -5
$500 < or = $415 + d
(subtract the 415 from both sides)
$85 < or = d
