Determine the equation of the circle graphed below.

(x - 2)² + (y + 4)² = 29

Step-by-step explanation:

Standard form

(x - h)² + (y - k)² = r²

(h, k) is the center and ris the radius

For center (2, -4)

(x - 2)² + (y + 4)² = r²

use the distance formula to find d² which is the same as r²

r² = d² = (x2 - x1)² + (y2 - y1)²

r² = (4 - 2)² + (1 - -4)²

r² = 2² + 5²

r² = 29

Now the equation becomes

(x - 2)² + (y + 4)² = 29

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.