determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3

Given:

The center of the circle is at (0,0).

The circle passes through the point A(4,-3).

To find:

The radius and the equation of the circle.

Solution:

Distance formula:

The radius of the circle is the distance between the points (0,0) and (4,-3).

So, the radius of the circle is 5 units.

The standard form of a circle is

Where, (h,k) is center of circle and r is the radius.

Putting h=0, k=0, r=5, we get

Therefore, the radius of the circle is 5 units and the equation of the circle is .

  about 5.6 days

step-by-step explanation:

we can fill the given information into the decay equation and solve for the value of t at which half the sample remains.

the half-life is about 5.6 days.