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>
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
Slope-intercept form is y=mx+b
we know m is 10 and we have x and y
if you plug in x, y and m and solve for b, like this
y=mx+b
1=10 (7) + b
1=70+b
-69=b
so now we know b is -69. just plug that in
the final answer is y=10x-69
Answer:
974
Step-by-step explanation:
(91.01)*(10.7)
91.01*(10.7)
91.01*10.7
973.80700
974
Answer:
x + 3y = -12
Step-by-step explanation:
y = mx + b
m is the slope = rise / run:
rise = 1
run = 3
the line is downhill so its negative
m = - 1 / 3
b is the y intercept which is when the line cross over the y axis: - 4
y = - 1/3x - 4
multiply both sides by 3
3y = -1x - 12
add x to both sides
x + 3y = -12
Answer: X=18
Explanation: 42 - 18 = 24
24 multiplied by 2 = 48
