Answered

Vega set up a coordinate
system with units of feet to locate the
position of the vegetables she planted
in her garden. She has a tomato plant
at (1, 3) and a pepper plant at (5, 6).
How far apart are the two plants?
Round to the nearest tenth if
necessary.

Answer :

absor201

The two plants are 5 feet apart.

Step-by-step explanation:

Given,

Point of tomato plant = (1, 3)

Point of pepper plant = (5, 6)

Here,

[tex]x_1=1,\ \ \ \ \ y_1=3\\x_2=5,\ \ \ \ \ y_2=6[/tex]

Distance between two plants = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]Distance=\sqrt{(5-1)^2+(6-3)^2}\\Distance=\sqrt{(4)^2+(3)^2}\\Distance=\sqrt{16+9}\\Distance=\sqrt{25}\\Distance=5[/tex]

As the unit is feet, therefore,

The two plants are 5 feet apart.

Keywords: addition, points

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