Well,
A cylinder is actually a special type of prism. A prism is a 3-D figure made by taking a simple closed plane curve and translating it across space in a certain direction and for a given distance and then connecting the preimage and the image. A cylinder is just a prism made with a circle.
We know from translations that the image is congruent to the preimage. Thus, the bases of a (circular) cylinder are two congruent circles.
Answer: Choice D)
================================================
Work Shown:
Explanation:
First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.
0+0=0 0+0=0+0
They are all addition, and they are all 0, and since 0 equals nothing, the sum is equivalent to 0!
Turn it into slope-intercept form.
2y = -x + 14
y = -x/2 + 7
The slope is -1/2.
Perpendicular lines have slopes that are opposite reciprocal, so the slope of the perpendicular line is 2.
<span>3 is 1.0 below the mean. That is 1.0 / 0.9, or 1.1111... standard deviations below the mean.
So look up z < -1.11 on your graphing calculator.
It should be around 0.1335 or 13.35%</span>