Answer:
Equation of parabola: 8*(y - 2) = (x - 3)^2
or
y = (1/8)*(x - 3)^2 + 2
Step-by-step explanation:
focus at (3,4) and its directrix y = 0.
Focus equation: (h, k + c) = (3, 4)
Directrix equation y = k - c = 0
so h = 3, k + c = 4, k - c = 0
Solve the system : k + c = 4 and k - c = 0
add the equations together: k + c + k - c = 4 + 0
2k = 4
k = 2
so k + c = 4, 2 + c = 4, c = 2
4c (y - k) = (x - h)^2
4*2 *(y - 2) = (x - 3)^2
8*(y - 2) = (x - 3)^2
Answer:
gg
Step-by-step explanation:
To get heads: 1/2 because there are two sides to a coin.
There are 6 sides on a cube and 2 numbers are greater than 4 (5 and 6) so 2/6
Now multiply: 1/2 * 2/6 = 2/12 = 1/6
1/6 is the final answer.
You can solve this problem using some basic trigonometry. First, draw the picture and label everything you know as demonstrated in the attached picture. You will see that you have the hypotenuse and angle. Using cosine you can solve for the x value which would be the distance between the base of the board and the wall.
Answer:
x = 37
Step-by-step explanation:
Vertically opposite angles are equal
Therefore, 2x + 6 = 80
Subtract 6 from both sides: 2x = 74
Divide both sides by 2: x = 37
