The standard form of the equation of a circle is (x−4)2+(y−2)2=9.

what is the general form of the equation?
a. x^2+y^2-8x-4y+11=0
b. x^2+y^2+8x+4y-29=0
c. x^2+y^2+8x+4y+11=0
d. x^2+y^2-8x-4y-29=0

Option A is correct.

Step-by-step explanation:

Given equation of circle in standard form is ( x - 4 )² + ( y - 2 )² = 9

We need to find the equation of circle in general form.

To solve the equation in general form we use following identity,

(a - b)² = a² + b² - 2ab

Consider,

( x - 4 )² + ( y - 2 )² = 9

( x² + 4² - 2(x)(4) ) + ( y² + 2² - 2(y)(2) ) = 9

x² + 4² - 8x + y² + 2² - 4y = 9

x² + y² + 16 - 8x  + 4 - 4y = 9

x² + y² - 8x - 4y + 16 + 4 - 9 = 0

x² + y² - 8x - 4y + 11 = 0

Therefore, Option A is correct.

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).