A rectangle with vertices (0,0), (6,0), (6,2), and (0,2) is rotated around the y-axis. Which of the following is the horizontal
cross section of the three-dimensional figure formed? rectangle circle triangle cylinder
2 answers:
Answer:
B. Circle
Step-by-step explanation:
We are given,
The rectangle with vertices (0,0), (6,0), (6,2) and (0,2) as shown below.
Now, we have that,
This rectangle is rotated around the y-axis.
So, we get,
<em>The resulting 3D figure after the rotation will resemble a cylinder.</em>
So, the horizontal cross-sectional figure formed by a cylinder is a 'circle'.
<h3>Hence, the correct answer is 'Circle'.</h3>
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Answer:
-9, 15
Step-by-step explanation:
Subtract 7 and multiply by 4
1/4 |2x-6| +7 = 13
1/4 |2x -6| = 6
|2x -6| = 24
2x -6 = ± 24
2x = 6 ±24
x = 3 ±12
x = -9, 15
_____
For graphing purposes, it is often convenient to rewrite the equation so the solutions are where the function is zero. Here, we can do that by subtracting 13 from the equation.
(1/4 |2x -6| +7) -13 = 0
sin2x+sinx-2cox-1=0
As we know, Sin 2x =2sinx cosx
2Sinx Cosx+Sinx-2cosx-1=0
Sinx(2cos x+1)-1(2cosx+1)=0
(sinx-1)(2cosx+1)=0
So, either sinx-1=0 or 2cos x+1=0
Sin x=1 or cos x=
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