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The coordinates of the point
T are
(10,9) and the coordinates of point
U are
(-2,9). What is the distance, in units, between the point
T and point
U ?
Answer: units

The coordinates of the point $T$ are $(10,9)$ and the coordinates of point $U$ are $(-2,9)$ . What is the distance, in units, between the point $T$ and point $U$ ? $\newline$ Answer: $\square$ units

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Evaluate variable expressions: word problems

Full solution

Q. The coordinates of the point

T

are

(10,9)

and the coordinates of point

U

are

(-2,9)

. What is the distance, in units, between the point

T

and point

U

?

\newline

Answer:

\square

units

Identify Coordinates: Identify the coordinates of points $T$ and $U$ . Point $T$ has coordinates $(10,9)$ , and point $U$ has coordinates $(-2,9)$ . Since the $y$ -coordinates are the same, we can determine that $T$ and $U$ lie on a horizontal line, and the distance between them is the absolute difference of their $x$ -coordinates.
Calculate Distance: Calculate the distance between points T and U. $\newline$ The distance between two points on a horizontal line is the absolute value of the difference between their x-coordinates. So, the distance $d$ between T and U is $|x_T - x_U|$ , where $x_T$ is the x-coordinate of T and $x_U$ is the x-coordinate of U. $\newline$ $d = |10 - (-2)| = |10 + 2| = |12| = 12$

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