The CB radio of a trucker covers the circular area of (7,4). Find the equation of that circle. Give your answer in both standard and general form.

Standard form is - (x - 7)² + (y - 4)² = 5²

General form is - x² + y² - 14x - 8y + 40 = 0

Step-by-step explanation:

Given - The CB radio of a trucker covers the circular area of (7,4).

             Find the equation of that circle.

To find - Find the equation of that circle. Give your answer in both

              standard and general form.

Proof -

Given that,

Center of CB radio = (7, 4)

Point on the Boundary = (10, 0)

Now,

We know that radius, r is

r =

 =

 =

 =

⇒r = 5

∴ we get

Standard form is - (x - 7)² + (y - 4)² = 5²

General form is -

x² + 7² - 2·7·x + y² + 4² - 2·4·y = 25

⇒x² + 49 - 14x + y² + 16 - 8y = 25

⇒x² + 65 - 14x + y²  - 8y = 25

⇒x² + 65 - 14x + y²  - 8y - 25 = 0

⇒x² - 14x + y²  - 8y + 40 = 0

So, the general form is -

x² + y² - 14x - 8y + 40 = 0

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)