Which is an equation of the circle with a radius of 9 units and center at (–4, 2)? a. (x − 9)2 + (y + 4)2 = 4 b. (x − 4)2 + (y + 2)2 = 81 c. (x + 4)2 + (y − 2)2 = 81 d. (x − 2)2 + (y + 4)2 = 81

We want (x - h)^2 + (y - k)^2 = r^2.

This circle is not centered at the origin.

The point we want is in the form

(h, k).

We are given that h = -4 and k = 2.

We also know that the radius is 9.

Let r = 9 leading to (9)^2 or 81.

We know substitute in the form given above for circles not centered at the origin.

(x - (-4)^2 + (y - 2)^2 = 81

(x + 4)^2 + (y - 2)^2 = 81

Choice C

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)