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Answer:
Perpendicular
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are the same.
- Two lines are perpendicular is their slopes are negative reciprocals.
- And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.
So, let's find the slope of QR and ST.
QR)
We can use the slope formula:
Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:
Subtract:
So, the slope of QR is -3/2.
ST)
Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:
Subtract:
So, the slope of ST is 2/3.
The negative reciprocal of -3/2 is 2/3.
And the negative reciprocal of 2/3 is -3/2.
So, the slopes are indeed negative reciprocals of each other.
So, QR and ST are perpendicular.
Answer:
A
Step-by-step explanation:
In the figure attached, the complete question is shown.
We have to transform all the fractions to new fractions with the same denominator, as follows:
1/8 *4/4 = 4/32
-3/16 *2/2 = -6/32
-1/4 *8/8 = -8/32
1/32
5/32
-1/16 *2/2 = -2/32
Now we can order the list simply comparing numerators:
-8/32, -6/32, -2/32, 1/32, 4/32, 5/32
or
-1/4, -3/16, -1/16, 1/32, 1/8, 5/32
