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)

Step-by-step explanation:

The center of the circle is at point

(0, 70+4)=(0,74)

(4 feet above the ground is wheel and the radius of the wheel is 70 feet)

The radius of the circle = 70 ft (from the diagram).

Thus, the equation of the circle is

y=-2x+5

Step-by-step explanation:

2y-1x=10    (1,3)

A perpendicular slope would be the opposite sign (+or-) and be a reciprocal (flip numerator and denominator) We will ignore the 5 for now because we need to find the b

First, let's turn this into slope-intercept form:

2y=1x+10 divide both sides of the equation by 2

y=1/2x+b because we want the perp. we will use y=-2x+b

Let's plug in the (x,y)

3=-2(1)+b  

3=-2+b   add 2 to both sides

5=b   so our equation is y=-2x+5