Answer:
y = 
Step-by-step explanation:
Given
3(y + 2x - 1) = x + 5y ← distribute left side
3y + 6x - 3 = x + 5y ( subtract 5y from both sides )
- 2y + 6x - 3 = x ( subtract 6x - 3 from both sides )
- 2y = - 5x + 3 ( multiply through by - 1 )
2y = 5x - 3 ( divide both sides by 2 )
y = 
B would have to equal c in order to get a
Answer:
113.04 (i used 3.14 for pi)
Step-by-step explanation:
area of circle formula = pi r^2
radius = 6
6^2 = 36
3.14 x 36 = 113.04
Answer: <8.01, 5.60>.
Step-by-step explanation:
Vector:

, where r = magnitude and
= angle .
As per given,


Consider

Hence, the correct option is <8.01, 5.60>.
Answer:
Inverse of y =
=
.
Step-by-step explanation:
Given : f(x) = y = 100 - x²
To find : Find inverse.
Solution : We have given that :
f(x) = y = 100 - x²
Step1) : Replace every x with a y and replace every y with an x .
x = 100 - y².
Step 2): Solve for y
On subtracting 100 from both sides
x - 100 = -y²
On multiplying both side by -1
100 -x = y²
Taking square root both sides and switching sides
y = ±
.
Step3 ) : Replace y with
.
= ±
.
Therefore, inverse of y =
= ±
.