Given:
The height of a golf ball is represented by the equation:

To find:
The maximum height of of Anna's golf ball.
Solution:
We have,

Differentiate with respect to x.


For critical values,
.




Differentiate y' with respect to x.


Since double derivative is negative, the function is maximum at
.
Substitute
in the given equation to get the maximum height.




Therefore, the maximum height of of Anna's golf ball is 6.25 units.
G = gallons d = days
10g = 3d
?g = 1d
1g = ?d
-------------
for gallons in a day, divide 10g = 3d by 3
d = 10/3 gallons
3 and 1/3 gallons in a day
---------------
for days per gallon, divide 10g = 3d by 10
g = 3/10 days
1 gallon lasts 3/10 of a day
Answer:
8
Step-by-step explanation:
36/9=4
12-4=8
8 is your answer
Hello!
This triangle is currently located in Quadrant 1. If it is rotated 90 degrees counter-clockwise around the origin, it will end up in Quadrant 2. The formula for this is seen below.
(x,y)⇒(-y,x)
We will do this to each point and get our final points.
(4,4)⇒(-4,4)
(4,1)⇒(-1,4)
(2,1)⇒(-1,2)
Therefore, the final points of our rotated triangle are (-4,4), (-1,4) and (-1,2).
I hope this helps!