Cody ALONE = 8 hours
Kaitlyn ALONE = 6 hours
Let Joseph ALONE take j hours
Cody ALONE in 1 HOUR = 1/8 of the work Kaitlyn ALONE in 1 hour = 1/6 of the work Joseph ALONE in 1 HOUR = 1/j of the work
Since TOGETHER they take X hours, in 1 hour TOGETHER they complete 1 / X of the work
1/8 + 1/6 + 1/j = 1/X
1/j = 1/X - 1/8 - 1/6 = (24 - 3X - 4X ) /24X = (24 - 7X ) / 24X
j = 24X / ( 24- 7X )
After completing the work value of X will be known , calculate j from the above formula ANSWER
Using a system of equations, it is found that the third graph shows a pair of lines that represent the equations with a solution (−5, 2).
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The solution of the system on a graph is the intersection of two lines. The third graph has an intersection at (-5,2), hence it is the answer to this question.
More can be learned about a system of equations at brainly.com/question/24342899
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Step-by-step explanation:
The formula for arc length [for the angle in degrees] is:
here,
= degrees
= radius
using this we'll solve all the parts:
r = 10, n = 20:
from here, it is just simplification:
2 and 360 can be resolved: 360 divided by 2 = 180
10 and 180 can be resolved: 180 divided by 10 = 18
finally, both 20 and 18 are multiples of 2 and can be resolved:
Option (E)
r=3, n=6:
Option (D)
r=4 n=7
Option (C)
r=2 n=x
Option (D)
r=y n=x
Option (E)
Answer:
formula for a circle: (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius.
1. Plug in center coordinates into formula
(x-3)^2 + (y-(-6))^2 = r^2
2. Plug in radius value
(x-3)^2 + (y-(-6))^2 = 5^2
3. Simplify:
(x-3)^2 + (y+6)^2 = 25
