Given the information below find the coordinates for y

Option A (15,0) is the correct answer.

Step-by-step explanation:

It is given that,

ΔABC ~ ΔXYZ

Therefore their sides are in same ratio.

And AB~XY, BC~YZ and AC~XY

or, AB/XY = BC/YZ and AC/XY

To find AB, BC and AC

It is given that, A(1,0), B(5,0),C(2,3),X(7,0)and Z (9,6)

By using distance formula,

AB = 4

BC = 3√3

AC =√10

To find XZ

XZ = √40 = 2√10

AC ~ XZ

AC/XZ = 1/2

To find coordinates of Y

AB ~ XY and AB/XY = 1/2

XY = 2AB = 2 * 4 = 8

Substituting the options

Option A) Y (15,0)

X(7,0)

XY = 8

Therefore AB/XY = 4/8 = 1/2

Therefore option A is the correct answer.

i dont know

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.