10 !
the ferris wheel has a radius of 70 feet. the distance between the wheel and the ground is 4 feet. the rectangular coordinate system shown has its origin on the ground directly below the center of the wheel. write the equation of the circular wheel. (justify)

show your work. answer !

x² + (y-74)² = 4900

Step-by-step explanation:

"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:

h = 0

k = 74 (the radius + 4 ft.)

r = 70

So plugging those into the equation of circles, we get the answer above.

Hope I helped answer the question:)

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

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