Answer:
Option A
Step-by-step explanation:
We are given that
Scale factor=2
Center of dilation=(0,0)
Point A(0,2) and point B (2,0).
Slope of line f=
Substitute the values
Slope of line f=
Distance between A and Origin (0,0) is given by

Using distance formula

OB=
Length of OA'=2OA=2(2)=4 units
Length of OB'=2(OB)=2(2)=4 units
x-intercept of line f' at x=4
y-intercept of line f' at y=4
Therefore, the points A' and B' are given by
(0,4) and (4,0)
Slope of line f'=
Slope of line f and f' are equal.Therefore, lines f and f' are parallel.
Option A is true.
Answer:
A. 
B. 42.4 inches. It will fit.
Step-by-step explanation:
A.
Let s = the length of the diagonal across the bottom of the box.

Therefore, 
B.
Let r = the length from a bottom corner to the opposite top corner.

Therefore, the length of the longest tube that will fit in the box is 42.4 inches.
Since the fishing rod is only 42 inches long, which is less than 42.4 inches, by only 0.2 inches, it means it will still fit.
Answer:

Step-by-step explanation:


5.099
this needs to be 20 characters but that’s the answer i think
Given in the problem is the diameter of the Ferris Wheel.
Thus, we can compute for the Ferris Wheel Circumference. This is the circular distance a single capsule attached to the wheel needs to do a full circle to.
Using 2 Step, we find the rate of how fast the capsule needs to be moving to complete 1 full cycle in 30 minutes.
1. Formula for computing the circumference
C = 2 x π x R
where R = Diameter divided by 2
C = 2π(120/2 )
C = 120π
2. Compute the rate or speed of the capsule / coach.
Rate or Speed = Distance to cover / Time it takes to cover
R/S = 120π/30 = 4π m/min or 12.57737 meters / min