Vhat is the equation of the line with a slope of 2 through (-4, 6) in point-slope form?
1 answer:
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Given:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.
To find:
The volume of the figure.
Solution:
Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.
Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.
If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.
Volume of a cone is
where, r is radius of the base and h is vertical height of the cone.
Putting r=6 and h=9, we get
Therefore, the volume of the figure is sq. units.
Answer:
y = 3/4 x -1
Step-by-step explanation:
The equation for a line with the slope and the intercept is y = mx+b where m is the slope and b is the y intercept
y = 3/4 x -1
Answer:
0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random?
There are 5 freshman non-Statistics majors out of 102 students.
Then, there will be 18 junior statistics majors out of 101 students(1 will have already been chosen). So
0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random