The roses are located at (5,1) and the lilies are located at (5,5). Since the x-coordinate is the same for both points, we can see that they are both 5 feet away horizontally from the y-axis.
The y-coordinate of the roses is 1 and the y-coordinate of the lilies is 5. To find the vertical distance between the two points, we subtract the y-coordinate of the roses from the y-coordinate of the lilies: 5 - 1 = 4. Therefore, the roses are 4 feet away vertically from the lilies.
Using the Pythagorean theorem (a^2 + b^2 = c^2), where a and b are the horizontal and vertical distances between the two points, we can find the distance between the roses and the lilies:
a = 5 feet (horizontal distance)
b = 4 feet (vertical distance)
c = √(5^2 + 4^2) = √41
Therefore, the roses are approximately √41 feet away from the lilies on the map of the flower shop.
Use the image to answer the question.
A coordinate plane shows the x and y axes ranging from negative 6 to 6 in unit increments. Four points are plotted and labeled on the plane. The coordinates of the plotted points and the labels are as follows: left parenthesis 2 comma 1 right parenthesis is labeled as daisies, left parenthesis 5 comma 1 right parenthesis as roses, left parenthesis 5 comma 5 right parenthesis as lilies, and left parenthesis 2 comma 6 right parenthesis as sunflowers.
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.
1 answer