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A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the wheel placement (center) and radius is modeled by the equation (x + 1.5)^2 + (y + 1)^2 = 9. What is the graph that shows the position and radius of the wheels?

Respuesta :

nobillionaireNobley
Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the centre and r is the radius.
(x + 1.5)^2 + (y + 1)^2 = 9
(x - (-1.5))^2 + (y - (-1))^2 = 3^2
Center = (-1.5, -1) and radius is 3.
calculista

we know that

The equation of the circle is of the form

[tex] (x-h)^{2} +(y-k)^{2} =r^{2} [/tex]

where

[tex] (h,k) [/tex] is the center

[tex] r [/tex] is the radius

in this problem

we have

[tex] (x+1.5)^{2} +(y+1)^{2} =9 [/tex]

[tex] (x+1.5)^{2} +(y+1)^{2}=3^{2} [/tex]

So

the center is the point [tex] (-1.5,-1) [/tex]

the radius is [tex] 3 [/tex] units

using a graph tool

see the attached figure

Ver imagen calculista

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