Answer:
The graph is constant in the interval [4,6]
Step-by-step explanation:
We are given that,
Taylor dropped a rubber ball from a height of 8 feet.
So, at time t= 0 sec, the ball is being thrown.
Now, the next events follows as below:
1. After a second, the ball hits the ground.
2. It bounces up to 5 feet in the next second.
3. The ball again hits the ground in the next second.
4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.
So, we get the figure given below, we see that,
The graph is constant in the interval [4,6].
Answer:
113.0973355
Step-by-step explanation:
using this formula: 2 π r^2 + 2 π r h
Answer:
3.58
Step-by-step explanation:
Given :
y = 2x + 4 -------- eq1
y = 2x - 4 -------- eq2
sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.
Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2
This gives us y = 2(-2) + 4 = 0
Hence we get a point (x,y) = (-2,0)
Step 2: express equation 2 in general form (i.e Ax + By + C = 0)
y = 2x-4 -------rearrange---> 2x - y -4 = 0
Comparing with the general form, we get A = 2, B = -1, C = -4
Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).
substituting the values for A, B, C and (x, y) from the previous step:
d = | (2)(-2) + (-1)(0) + (-4) | / √(2² + (-1)²)
d = | -4 + 0 - 4 | / √(4 + 1)
d = | -8 | / √5
d = 8 / √5
d = 3.5777
d = 3.58 (rounded 2 dec. pl)
