What is the length of segment ab? a coordinate plane is shown. point a is located at 6, 2, and point b is located at 0, 10. the points are connected by a line segment.

To solve this problem we will need the distance formula between two points with coordinates P1(x1,y1) and P2(x2,y2).

Distance formula

Distance = sqrt((x2-x1)^2+(y2-y1)^2)

=sqrt((0-6)^2+(10-2)^2)

=sqrt(36+64)

=sqrt(100)

=10 units.

true

step-by-step explanation:

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.