Help please!

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?

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.

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calculista calculista · Answer 2 · 2018-08-02T07:27:48-04:00

calculista calculista

02-08-2018

we know that

The equation of the circle is of the form

\((x-h)^{2} +(y-k)^{2} =r^{2}\)

where

\((h,k)\) is the center

\(r\) is the radius

in this problem

we have

\((x+1.5)^{2} +(y+1)^{2} =9\)

\((x+1.5)^{2} +(y+1)^{2}=3^{2}\)

So

the center is the point \((-1.5,-1)\)

the radius is \(3\) units

using a graph tool

see the attached figure

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Help please! 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?

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Help please!

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?