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'
Distance formula!!!!! yay i've done this umpth manytimes today for people so if you dont know distance formula is square root of (x1-x2)^2+ (y1+y2)^2.
0-(-7) -1-(-2)
7^2 + 1^2
49+1
sqr. root of 50
appx. 7.07 or the closest to it
He got 22/25 questions right because
if you put X as the number of questions he got right out of 25 and equal it to 88 out of 100 you can cross multiply to get X
x/25=88/100
100x=25×88
25×88=2200
100x=2200
divide 100 on both sides
therefore
2200/100= 22
hope this helps
No. Age function has nothing to do with height. A five foot man could be ninety three, or a five year old boy could be four feet tall. Age and height have nothing to do with each other.
Answer: -2
Step-by-step explanation: