The equation of the vertical line is 
Explanation:
It is given that the vertical line passes through the points 
For vertical line, the slope is undefined.
Hence, 
Let us substitute the coordinate in the equation 
, we have,
Simplifying, we have,
where 
and 
Substituting the values of a, b and c in the equation , we have,
Thus, the equation of the vertical line is
Answer:
121 degrees
Step-by-step explanation:
Given
Radius r = 18ft
Length of the arc = 38ft
Required
angle of rotation
Using the formula
Length of an arc = theta/360 * 2πr
Substitute the given data
38 = theta/360 * 2π(18)
38 = theta/360 * 113.04
theta/360 = 38/113.04
theta/360 = 0.33616
theta = 0.33616 * 360
theta = 121.02
Hence the angle of rotation to the nearest degree is 121 degrees
So we have
120x2y5 and 80x3y2
120 doesnt divide into 80 evenly, but we know 40 goes into both.
so the first part is 80x
2y and 3y dont have a common factor other than y so the second part is
y
2 and 5 dont share any common factors so we simply leave that alone
so we have 40xy
Answer:
5 35/72 kilometers
Step-by-step explanation:
The distance around a lake is 6 7/12 kilometers. Evan rode his bike 5/6 of the distance around the lake. What is the distance in kilometers that Evan rode
This is calculated as:
Total distance = 6 7/12 km
Evan rode = 5/6 of the distance
Hence:
The distance Evans rode is
5/6 of 6 7/12
= 5/6 × 79/12
= 395/72
= 5 35/72 km(kilometers)
