Find the standard form of the equation of a circle that satisfies the given conditions.Center (5, 6) and touches the y-axis
A. (x - 6)2 + (y - 5)2 = 25
B. (x - 6)2 + (y - 5)2 = 5
C. (x - 5)2 + (y - 6)2 = 25
D. (x - 5)2 + (y - 6)2 = 5
Answer: C
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Solve.Recall that is the formula for the area of a square. If the area of a square is represented by
how can the length of each side be represented?
A. (x - 3)2 B. (x + 3)2 C. x - 3 D. x + 3
Use implicit differentiation to find dy/dx and d2y/dx2.4 - y = 2x
A. =
- 2;
= -
B. =
;
=
C. =
;
=
D. =
;
=
Provide an appropriate response.Can an equation of a vertical line be written in slope-intercept form?
What will be an ideal response?
Solve the problem. A reasonable quadratic model for the population of a certain city is found to be where P(t) is the population (in thousands) of the city in the year that is t years since 2012. A reasonable quadratic model for the consumption of bottled water in the city is
, where B(t) is the total amount of bottled water (in thousands of gallons) consumed by the residents of the city in the year that is t years since 2012. Let M(t) be the annual mean consumption of bottled water per person in the year that is t years since 2012. If M(t) is obtained by
finding the ratio , what are the units of M?
A. people per gallon
B. gallons per thousand people
C. gallons per person
D. thousands of gallons per person