Answer:
A function to represent the height of the ball in terms of its distance from the player's hands is 
Step-by-step explanation:
General equation of parabola in vertex form 
y represents the height
x represents horizontal distance
(h,k) is the coordinates of vertex of parabola
We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.
So,(h,k)=(18,12)
Substitute the value in equation
---1
The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0
So, y = 6
So,
6=324a+12
-6=324a
Substitute the value in 1
So,
Hence a function to represent the height of the ball in terms of its distance from the player's hands is
Answer:
Step-by-step explanation:
y = -2x + 2/2.....slope = -2, y int = 2/2(or just 1)
y = -2x + 3/2....slope = -2, y int = 3/2
when the equations have the exact same slope, but different y intercepts.....and this one does....then there is no solution because these are parallel lines....they never cross each others path.
= 4 (6) - 4 (√2) + √2 (6) - √2 <span>√2
</span>= 24 - 4√2 + 6√2 - 2
= (24 - 2) + (- 4√2 + 6√2)
= 22 + √2(- 4 + 6)
= 22 + √2 (2)
= 22 + 2√2
hope it helps
Step-by-step explanation:
We need to find each of the following as a rational number in the form of p/q
(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴
Solution,
(a) (3/7)²
(b) (7/9)³
(c) (-2/3)⁴
Hence, this is the required solution.
ANSWER: 8/21
Step:
1. Find the GCF (Greatest Common Factor)
The two denominator which is the bottom number have to be the same ALWAYS when adding and subtracting the fraction. So to find the GCF, you keep multiplying until you see the same number, only use the bottom number to find the GCF
7: 7, 14, 21, 28
3: 3, 6, 9, 12, 15, 18, 21, 24, 27
GCF= 21
2. 5/7 -1/3
Multiple both to get 21
5/7 x 3/3 = 15/21
1/3 x 7/7 = 7/21
3. Sove
15/21 - 7/21
= 8/21
