A map of flower shop is shown each coordinate represents 1 foot. How far are the roses from the lilies? Explain how you found the answer.
To find the distance between the roses and the lilies, we need to calculate the difference in the x-coordinates and y-coordinates of the two points (roses and lilies) using the Pythagorean theorem.
Let's assume the coordinates of the roses are (3, 5) and the coordinates of the lilies are (6, 8).
The difference in the x-coordinates = 6 - 3 = 3
The difference in the y-coordinates = 8 - 5 = 3
Now, we can use the Pythagorean theorem, which states:
c^2 = a^2 + b^2
where c is the hypotenuse (the distance between the roses and lilies), and a and b are the differences in the x-coordinates and y-coordinates, respectively.
Plugging in the values:
c^2 = 3^2 + 3^2
c^2 = 9 + 9
c^2 = 18
c = sqrt(18) = 4.24 feet
Therefore, the roses are approximately 4.24 feet away from the lilies on the map.