Answer:
k = 18
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 3 when x = 6, that is
3 = ( multiply both sides by 6 )
18 = k
The constant of variation is k = 18
Answer:
C. x+y = 1 and -x-y = -1
Step-by-step explanation:
Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.
1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)
2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.
Answer:
≈ 39.3 in²
Step-by-step explanation:
The area of the sector is calculated as
A = area of circle × fraction of circle
= πr² ×
= π × 10² ×
= ≈ 39.3 in² ( to 1 dec. place )