Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
Answer:
Average speed is 37.35 mi/h
Step-by-step explanation:
given data
leave = 34 minutes before
church distance = 12.0 miles
average speed first 17 minutes = 5.0 mi/h
solution
so we find Total distance travel in first 17 minutes = speed × time
Total distance travel in first 17 minutes = 5 ×
Total distance travel in first 17 minutes = 1.416 mi
and
Distance Remaining = 12 - 1.416 = 10.584 mi
Time Remaining = 34 - 17 min = 17 min
so
remaining distance Average speed =
Average speed =
Average speed is 37.35 mi/h
Answer:
The volume of tennis ball = 38.808 .
Volume of golf ball = 33.523 .
Step-by-step explanation:
Given: The radius of the tennis ball is 2.1cm and the radius of thr golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .
To find: Volume of tennis ball and golf ball .
Formula used: Volume = .
pi(π) = .
Explanation : We are given that
Radius of the tennis ball = 2.1 cm
radius of the golf ball =2.0 cm.
We need to find the volume of each ball
So , plugging the given values of radius in above formula
Volume of the tennis =
On simplification we get, volume of tennis ball = 38.808
Volume of the golf ball=
On simplification we get, volume of golf ball = 33.523
Therefore , The volume of tennis ball = 38.808 .
Volume of golf ball = 33.523 .