That would be
cos x
sin x + cos x * --------
sin x
sin x
Mult sin x by ----------
sin x
to obtain
(sin x)^2
------------
sin x
and then add
(cos x)^2
-------------
sin x
with the outcome being
(sin x)^2 + (cos x)^2 1
--------------------------- = --------- = cos x (answer)
sin x sin x
2(4y+1) = 3y. We need to solve for y.
First let's get ride of the parenthesis by developing 2(4y+1). This means to multiply 2 by 4y and 2 by 1, and add them.
2(4y+1) = 2*4y + 2*1 = 8y + 2
So 2(4y+1)=3y
8y+2 = 3y
Then you subtract 8y from each side to have the variables on a side and the numbers on the other:
3y - 8y = 8y + 2 - 8y
-5y = 2
Then you divide each side by -5 to get the variable y alone on a side and its value on the other:
(-5y)/-5 = 2/-5
y = -2/5
You can re-check your answer (very important):
2(4y + 1) = 2(4*-2/5 + 1) = -1.2
3y = 3 * -2/5 = -1.2
So 2(4y+1)=3y= -1.2
The answer has been approved.
Hope this Helps! :)
Answer:
C. 1/4
Step-by-step explanation:
Parallel lines always have the same slope.
Answer:
volume of the solid is 3.180
Step-by-step explanation:
given data
line x + y = 2
parabola x2 + y = 4
to find out
the volume of the solid
solution
we draw a graph between line and parabola as show in fig given below attach
line cut at (-1,3) and (2,0)
so the length of diameter is ( 4 - x²) - (2 - x)
and radius of this semi circle will be ( 4 - x² - 2 + x ) /2
radius = (-x² + x + 2 ) /2
and r(x) will be = (-x² + x + 2 ) /2
and A(x) will be = π ( r(x)² ) /2
we will integrate from -1 to 2
= 
= 
= 81π / 20
volume of the solid is 3.180
