Write the following in both standard and general form
center: (3,-2) radius = 4
!

The circle equation in standard form:

The circle equation in general form:

Solution:

Given that, center of a circle is (3, -2) and radius = 4.

We have to find the standard and general form of the circle.

Finding standard form:

The standard form of circle is

where (h, k) is center and r is radius.

So the standard form of circle is

Finding general form:

Now, we just have to expand the standard form to get the general form.

Hence the standard and general form are found out

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!