Equation of the circle:
Step-by-step explanation:
The equation of a circle is given by
where
are the coordinates of the center of the circle
r is the radius of the circle
For the circle in this problem, we know that:
(5,4) are the coordinates of the center
We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:
Therefore, the equation of the circle is:
Learn more about circles:
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Answer:
3 3/7
Step-by-step explanation:
2 = 14/7
14/7 + 10/7 = 24/7
24/7 simplified is 3 3/7
Answer:
The rate of decrease is:
Step-by-step explanation:
Given
---- We used minus because the rate is decreasing
Required
Rate of decrease when:
The volume of the cube is:
Differentiate
Make dV the subject
Divide both sides by dt
Given that: and
<em>Hence, the rate of decrease is: 43.2mm^3/min</em>