Tje answer is A . 2.76 x 10^8 m/h
Answer:
d
Step-by-step explanation:
Answer:
a) see the attached file
b) Coordinates of vertex = (0, 4)
Step-by-step explanation:
Given:
Focus of parabola is
and the directrix is ![y=1](https://tex.z-dn.net/?f=y%3D1)
To sketch: the parabola
To find: coordinates of the vertex
Solution:
As the focus lies on the y-axis and y-coordinate of the focus is positive,
equation of parabola is ![(x-h)^2=4p(y-k)](https://tex.z-dn.net/?f=%28x-h%29%5E2%3D4p%28y-k%29)
Here,
denotes the vertex of parabola, focus is
and the directrix is
According to question,
![(h,k+p)=(0,7)](https://tex.z-dn.net/?f=%28h%2Ck%2Bp%29%3D%280%2C7%29)
![k-p=1](https://tex.z-dn.net/?f=k-p%3D1)
So, ![h=0](https://tex.z-dn.net/?f=h%3D0)
![k+p=7\,,\,k-p=1](https://tex.z-dn.net/?f=k%2Bp%3D7%5C%2C%2C%5C%2Ck-p%3D1)
On adding these equations,
![k+p+k-p=7+1\\2k=8\\k=4](https://tex.z-dn.net/?f=k%2Bp%2Bk-p%3D7%2B1%5C%5C2k%3D8%5C%5Ck%3D4)
Put
in ![k+p=7](https://tex.z-dn.net/?f=k%2Bp%3D7)
![4+p=7\\p=7-4\\p=3](https://tex.z-dn.net/?f=4%2Bp%3D7%5C%5Cp%3D7-4%5C%5Cp%3D3)
So, equation of parabola is ![(x-0)^2=4(3)(y-4)\Rightarrow x^2=12(y-4)](https://tex.z-dn.net/?f=%28x-0%29%5E2%3D4%283%29%28y-4%29%5CRightarrow%20x%5E2%3D12%28y-4%29)
For part a), see the attached file.
b)
Coordinates of vertex = ![(h,k)=(0,4)](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%280%2C4%29)
Answer: 30 minutes
How: 45 minutes divided by 15 math problems equal 3 minutes per math problem. 3 minutes per math problem times 10 math problems equals 30 minutes on 10 math problems.
45/15=3
3*10=30
Step-by-step explanation:
Let's get our relevant base equations listed out:
d = 2r
area = pi*r²
c = πd
Thus, d=2*5m = 10m, c=π*10m=10π m, and area = 25m²*π
Feel free to ask further questions!