Answer:it’s 15
Step-by-step explanation:because think about it if it was 12 it wouldn’t be 60% it would be 70%
To get the average resting position of the spring, we must subtract the minimum from the maximum height of the spring with respect to the floor.
So,
7 + (4/12) - [ 6 + (2/12) ] = 1.5 ft
Half of this is where the resting position of the spring is located with respect to the minimum height. If the resting position of the spring is set at 0, then the amplitude of the wave is:
A = 1.5 / 2 = 0.75
Since it takes 2 seconds for the spring to expand from minimum to maximum,
Period = 2 = 2π / n
n = π
The cosine function is:
y = A cos nt
where y is the distance from the resting position and t is the time in seconds.
y = 0.75 cos πt
Dilation involves changing the size of a shape.
- See attachment for the graphs of ABC, A'B'C and A"B"C"
- A"B"C" is a dilation of A'B'C', with a scale factor of 1/4
From the given diagram, we have:
<u>(a) Dilate by scale factor 2 with center (0,0)</u>
We simply multiply the coordinates of ABC by 2
So, we have:
See attachment for the graph of A'B'C'
<u>(b) Dilate by scale factor 2 with center (0,0)</u>
We simply multiply the coordinates of ABC by 1/2
So, we have:
See attachment for the graph of A"B"C'
<u>(c) Is A"B"C" a dilation of A'B'C</u>
Yes, A"B"C" is a dilation of A'B'C
- <em>ABC is dilated by 2 to get A'B'C</em>
- <em>ABC is dilated by 1/2 to get A"B"C</em>
So, the scale factor (k) from A'B'C' to A"B"C" is:
The scale factor (k) from A'B'C' to A"B"C" is 1/4
And the center is (0,0)
Read more about dilations at:
brainly.com/question/13176891
Answer:
yes
Step-by-step explanation:
i am smart
If you let x represent the number of free throws.
let y represent the number of two-point field goal.
let z represent the number of three-point shots made.
Then the correct system of linear equations is as follows:
x + 2y + 3z = 29 (The total number of points scored is 29.)
z = 3x - 29 (The number of 3-pointers was 29 less than 3 times the number of free throws.)
2y = z + 15 (Twice the number of 2-point shots made was 15 more than the number of 3-pointers.)
Solution:
This basketball player scored 10 points via free throws (10 at 1 point each), 16 points via 8 two-point shots made, and 3 points via 1 three-point shots made. So, in the choice its letter D.