The equation of the vertical parabola in vertex form is written as
![y=\frac{1}{4p}(x-h)^2+k](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4p%7D%28x-h%29%5E2%2Bk)
Where (h, k) are the coordinates of the vertex and p is the focal distance.
The directrix of a parabola is a line which every point of the parabola is equally distant to this line and the focus of the parabola. The vertex is located between the focus and the directrix, therefore, the distance between the y-coordinate of the vertex and the directrix represents the focal distance.
![p=1-6=-5](https://tex.z-dn.net/?f=p%3D1-6%3D-5)
Using this value for p and (3, 1) as the vertex, we have our equation
Answer:
A
Step-by-step explanation:
I agree with Katie because number is legs is directly proportional to the number of ants.
1 ant has 6 legs.
So, 2 ants have 6 *2 = 12
3 ants have 6*3 = 18
Answer:
32.13
Step-by-step explanation:
15.3= c/2.1
c= 15.3* 2.1
c= 32.13
Good question!
First of all, you need to be aware of the following trigonometrical ratios\functions:
For angle A:
adjacent=12
opposite=35
hypotenuse=37
Hence:
![cos(A)= \frac{12}{37} \\~\\ sin(A)= \frac{35}{37} \\~\\ tan(A)= \frac{35}{12}](https://tex.z-dn.net/?f=cos%28A%29%3D%20%5Cfrac%7B12%7D%7B37%7D%20%0A%5C%5C~%5C%5C%0Asin%28A%29%3D%20%5Cfrac%7B35%7D%7B37%7D%20%0A%5C%5C~%5C%5C%0Atan%28A%29%3D%20%5Cfrac%7B35%7D%7B12%7D%20)
I hope that
helps!
I am with you if you faced any difficulties!
Answer:
B
Step-by-step explanation:
In the case of this distance, trying to imagine 5 x 10^6 is obviously way too ridiculous