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.
(2 points)
The roses are located at (5,1) and the lilies are located at (5,5). To find the distance between the two points, we can use the distance formula:
Distance = √( (x2 - x1)² + (y2 - y1)² )
Plugging in the coordinates of the roses (x1 = 5, y1 = 1) and the lilies (x2 = 5, y2 = 5), we get:
Distance = √( (5 - 5)² + (5 - 1)² )
Distance = √(0 + 16)
Distance = √16
Distance = 4 feet
Therefore, the roses are 4 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.
(2 points)
The roses are located at (5,1) and the lilies are located at (5,5). From the coordinates, we can see that the x-coordinates of both points are the same (5). This means that the two points are vertically aligned. To find the distance between them, we can simply subtract the y-coordinate of the roses from the y-coordinate of the lilies:
Distance = |5 - 1| = 4
Therefore, the roses are 4 feet away from the lilies on the map of the flower shop.