Given A(-2,3), B(m, 5) and C(-1,0). Find the possible
values of m if AB = 2AC.

m = 4 or m = -8

Step-by-step explanation:

length between 2 points = √(difference of x)² + (difference of y)²

AB² = (m - (-2))² + (5 - 3)² = (m + 2)² + 4 = m² + 4m +8

AC² = ((-1) - (-2))² + (0 - 3)² = 10

AB² = 4AC²

m² + 4m +8 = 40

m² + 4m - 32 = 0

(m - 4) (m + 8) = 0

m = 4 or m = -8

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.

y + 11 = (1/4)(x + 16)

step-by-step explanation: