Answer:
x=22, y=45
Step-by-step explanation:
y=45 by definition (180-90)/2
180 = 46 + 2x
x = 22
The general form of a parabola when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus. We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus. Remember that the parabola will hug the focus and run away from the directrix. The formula would be slightly different if the parabola was opening either left or right.
Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix. The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2. We can now write the equation of the parabola:
(x + 2)² = 4(2)(y - 2)
(x + 2)² = 8(y - 2) Now you can solve this equation for y if you prefer solving for 'y' in terms of 'x'
Answer:
21
Step-by-step explanation:
solved it
Answer:
2 2/9 yards or 20/9 yards
Step-by-step explanation:
Slimy went 4 times as much as Speedy did so that means 5/9 x 4 yards which is the same thing as 5 x 4/9 so 5 x 4/9 equals 20/9 or 2 2/9 so Slimy crawled 2 2/9 yards.
Answer:384cm²
Step-by-step explanation:
first find the area of the parallelogram
bh
b=24
h=7.5
24×7.5=180
second find the area of a rectangle
lw
l=24
w=8.5
24×8.5=204
add the areas together
204+180=384cm²
