Answer:
We'll use the following identities:
r = √(x2 + y2), from which we also have r2 = x2 + y2
y = r*sinθ
First, let's re-write your equation:
r = 8*sin(θ). Multiply both sides by r:
r2 = 8r sin(θ)
Now, we'll use substitute using the identities:
x2 + y2 = 8y
Re-arrange and complete the square:
x2 + y2 - 8y = 0
x2 + (y-4)2 - 16 = 0
x2 + (y-4)2 = 16
This represents a circle with center (0,4), and radius 4.
Step-by-step explanation:
sorry if it wrong
Chun wants to <span>reduce the weight of garbage produced to 85% of the weight produced this month.
This means that, Chun's garbage weight next month should be equal to 85% of his garbage weight this month.
Translating this into an equation, we will find that:
garbage weight next month = 85% of garbage weight this month
garbage weight next month = 0.85 * garbage weight this month
garbage weight next month = 0.85*690
garbage weight next month = 586.5 pounds
Based on the above calculations, his target weight for the garbage next month is </span>586.5 pounds
Answer:
Step-by-step explanation:
If 
exist, then we have that 
.
Therefore, in the case that 
, if we multiply both
terms in the equation by , then we have
and so the equation tells us that
.
