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A triangle has vertices on a coordinate grid at
S(-1,7),T(-1,-1), and
U(-5,7). What is the length, in units, of
bar(ST) ?
Answer: units

A triangle has vertices on a coordinate grid at $S(-1,7), T(-1,-1)$ , and $U(-5,7)$ . What is the length, in units, of $\overline{S T}$ ? $\newline$ Answer: $\square$ units

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Write equations of hyperbolas in standard form using properties

Full solution

Q. A triangle has vertices on a coordinate grid at

S(-1,7), T(-1,-1)

, and

U(-5,7)

. What is the length, in units, of

\overline{S T}

?

\newline

Answer:

\square

units

Identify Coordinates: Identify the coordinates of points $S$ and $T$ . $S(-1, 7)$ and $T(-1, -1)$ .
Calculate Distance: Recognize that the length of bar( $ST$ ) is the distance between points $S$ and $T$ . Since both points have the same $x$ -coordinate, the distance between them is the difference in their $y$ -coordinates.
Find Y-coordinate Difference: Calculate the difference in y-coordinates. Difference = y-coordinate of S - y-coordinate of T = $7 - (-1) = 7 + 1 = 8$ .
Conclude Length: Conclude that the length of bar(ST) is $8$ units. $\newline$ Since the $x$ -coordinates are the same, the length of bar(ST) is simply the absolute value of the difference in $y$ -coordinates, which is $8$ units.

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