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:)

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11