Answer:
C
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant.
Using the distance formula
= | y - 5 |
Squaring both sides
(x - 4)² + (y - 1)² = (y - 5)² ← distribute the factors in y
(x - 4)² + y² - 2y + 1 = y² - 10y + 25 ( subtract y² - 10y + 25 from both sides )
(x - 4)² + 8y - 24 = 0 ( subtract (x - 4)² from both sides )
8y - 24 = - (x - 4)² ← add 24 to both sides )
8y = - (x - 4)² + 24 ( divide both sides by 8 )
y = - (x - 4)² + 3
Hence
f(x) = - (x - 4)² + 3 → C
Answer:
9.8 x 2.2 = 21.56 m
distance = time x speed
speed = distance ÷ time
Step-by-step explanation:
The highest point he reached occurred at the vertex, which is at t = -b/2a = 2.2 second. Plugging in t = 2.2
9.8 x 2.2 = 21.56ft
Higher cliffs don't accelerate your fall -- acceleration is constant during free fall. The pull of gravity decreases infinitesimally at higher elevations, but it pulls you with an equal force from the first second of your jump until you decelerate when you hit the water.
Answer: 150 quarts of sparkling water and 70 quarts of grape fruit
Step-by-step explanation:
1 quart of juice requires 1 1/2(3/2) quarts of sparkling water
1 quart of juice requires 3/4 quarts of grape fruit
For 100 quarts of juice,
Sparkling water needed = 3/2 × 100
= 150 quarts
Grape fruit needed = 3/4 × 100
= 75 quarts