The sketch below shows a company’s plans for a new billboard advertisement. If the area of the billboard is 144 ft2, what is the height?

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

step-by-step explanation:

x-intercept:

(

−

1

+

√

7

,

0

)

,

(

−

1

−

√

7

,

0

)

y-intercept:

(

0

,

−

6

)

your answer is b.

step-by-step explanation:

the 2 points are: (3,1) and (6,6)

first, let's find the slope:

(6-1)/(6-3) = 5/3

then let's plug this into the point-slope formula:

y - 1 = 5/3(x - 3)

this is your answer! the below is just the simplified form.

y - 1 = 5/3x - 5

y = 5/3x - 4