The standard equation of a circle is:
(x-h)^2+(y-k)^2=r^2, where (h,k) is the center of the circle and r is the radius.
We are given two endpoints of the diameter, so the midpoint of these points is the center of the circle. (2,8) and (2, -4) so the midpoint of the circle is:
((2+2)/2, (8-4)/2)
(2,2)
The radius is just half the length of the diameter. The length of the diameter is 8--4=12 so the radius is 6 units, so our circle equation is:
(x-2)^2+(y-2)^2=36
Answer:
The difference in volume is that the prism's volume is 3 times greater than the pyramid's volume.
Without seeing the graph, I can't tell what the slope is, but depending on the way the graph is drawn, the slope should be 1/3 or 3.
The <em>correct answer</em> is:
7/29 = 0.24.
Explanation:
We can construct a two-way table from this information.
There are 40 total students. 10 of them are athletes; this means 40-10 = 30 are not athletes.
3 of the athletes are honors students. There are 10 athletes; this means there are 10-3 = 7 athletes that are not honors students.
There are 11 honors students. This means that there are 40-11 = 29 students that are not honors students.
For this probability, we only consider the number of athletes that are not honors students (7) and the total number of students that are not honors students (29). This makes the probability 7/29 = 0.24.
Answer:
thanks for the point
Step-by-step explanation:
Thanks
Answer:
2/3
Step-by-step explanation:
List all the possible sums. If it helps, make a table:
There are 36 total possible sums. Of those, 18 are even, and 6 are odd but multiples of 3.
Therefore, the probability is:
P = (18 + 6) / 36
P = 24 / 36
P = 2 / 3