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

Mathematics

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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

Mathematics

Use implicit differentiation to find dy/dx and d2y/dx2.4 - y = 2x

A.  =  - 2;  = - 
B.  =  = 
C.  =  = 
D.  =  = 

Mathematics

Provide an appropriate response.Can an equation of a vertical line be written in slope-intercept form?

What will be an ideal response?

Mathematics

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

Mathematics