Question

Kristin graphed the locations of several places in her school on the coordinate plane shown below. Determine if each statement about Kristin's graph is true or false. True False Art is closer to the library than to science. The cafeteria is located at (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis.

Answer 1

1st false , 2nd true!

Explanation:

Answer 2

Explanation:

1). Coordinates of Art → (1, -5).

Coordinates of Library → (1, 9)

Coordinates of Science → (-5, -5)

Distance between Art and Library =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

=
`√((1-1)^2+(9+5)^2)`

= 14 units

Distance between Art and Science =
`√((1+5)^2+(-5+5)^2)`

= 6 units

Since 14 > 6,

Art is closer to Science than Library.

Answer is False.

2). Coordinates of Cafeteria → (-7, 9)

True.