Use the image to answer the question. A map of a flower shop is shown. Each coordinate represents one foot. How far are the roses from the lilies? Explain how you found your answer. (2 points)

Answer 1

To determine the distance between the roses and the lilies, we can use the Pythagorean theorem since the distance is a diagonal line.

Counting the number of squares from the roses to the lilies, we can see that it is 4 squares horizontally and 3 squares vertically, forming a right-angled triangle. Using the Pythagorean theorem (a^2 + b^2 = c^2), we can calculate the distance:
(4^2 + 3^2) = c^2
(16 + 9) = c^2
25 = c^2
c = √25
c = 5

Therefore, the distance between the roses and the lilies is 5 feet.

Answer 2

its incorrect

Answer 3

I apologize for the mistake in my previous response. Let me correct that:

From the map of the flower shop, the coordinates of the roses are (12, 9) and the lilies are at (9, 13).

To find the distance between these two points, we can use the distance formula which is derived from the Pythagorean theorem in coordinate geometry:

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

Plugging in the coordinates, we get:
Distance = √((9 - 12)^2 + (13 - 9)^2)
Distance = √((-3)^2 + 4^2)
Distance = √(9 + 16)
Distance = √25
Distance = 5

Therefore, the distance between the roses and the lilies is 5 feet. Thank you for pointing out the error, and I appreciate your understanding.