Answer:
Another point is (3,1) and the vertex is (0,0)
Step-by-step explanation:
The vertex is still (0,0) since the parabola has only been stretched some way and not shifted from the parent function f(x)=x^2.
Enter in any x you like like 3 (I chose 3 because I see I'm going to multiply by 1/3). Anyways
g(3)=(1/3*3)^2=(1)^2=1 so another point on the parabola is (3,1)... Now just use the fact that all parabolas are symmetrical to graph it.
5/54 or approximately 0.092592593
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
r = 4, y = 2, b = 1, so n = 3 + 1 = 4
r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
r = 5, y = 2, b = 1, so n = 9 + 1 = 10
And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
r = 6, y = 2, b = 1, so n = 19 + 1 = 20
And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
Answer:
The distance between points A and B is 13
Step-by-step explanation:
We need to find distance between points A and B
Looking at the graph,
Point A : (2,6) and Point B: (-3,-6)
We need to find the distance between these points.
The formula used is: 
We have Points A : (2,6) and B: (-3,-6)
So, 
Putting values in formula and finding distance
So, the distance between points A and B is 13
Answer:
B
Step-by-step explanation:
So we have the formula:
And we want to solve it for r.
So, let's first divide both sides by π and h. This will cancel out the right side:
Now, take the square root of both sides:
And we're done!
Our answer is B.
I hope this helps!
