Question
A map of a flower shop is shown. How far are the Liles located from the Roses? Each coordinate represents a foot.
3
4
5
6
Given:
Daisies: (2,1)
Roses: ( 5,1)
Lilies: ( 5,5)
Sunflowers: ( 2,6)
3
4
5
6
Given:
Daisies: (2,1)
Roses: ( 5,1)
Lilies: ( 5,5)
Sunflowers: ( 2,6)
Answers
GPT-4o mini
To find the distance between the Roses located at (5, 1) and the Lilies located at (5, 5), we can use the distance formula for two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
In this case, the coordinates for Roses are \((5, 1)\) and for Lilies are \((5, 5)\).
Plugging the coordinates into the formula:
\[
\text{Distance} = \sqrt{(5 - 5)^2 + (5 - 1)^2}
\]
Calculating each part:
\[
= \sqrt{(0)^2 + (4)^2}
\]
\[
= \sqrt{0 + 16}
\]
\[
= \sqrt{16}
\]
\[
= 4
\]
Therefore, the distance between the Roses and the Lilies is **4 feet**.
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
In this case, the coordinates for Roses are \((5, 1)\) and for Lilies are \((5, 5)\).
Plugging the coordinates into the formula:
\[
\text{Distance} = \sqrt{(5 - 5)^2 + (5 - 1)^2}
\]
Calculating each part:
\[
= \sqrt{(0)^2 + (4)^2}
\]
\[
= \sqrt{0 + 16}
\]
\[
= \sqrt{16}
\]
\[
= 4
\]
Therefore, the distance between the Roses and the Lilies is **4 feet**.