A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is tr
ue?
a:A, B, C, and D lie on the same line.
B: AB and CD are perpendicular lines.
C: AB and CD are parallel lines.
D: AB and CD are intersecting lines but are not perpendicular.
E: AC and BD are parallel lines.
a:A, B, C, and D lie on the same line.
B: AB and CD are perpendicular lines.
C: AB and CD are parallel lines.
D: AB and CD are intersecting lines but are not perpendicular.
E: AC and BD are parallel lines.
2 answers:
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We can use the Pythagorean Trigonometric Identity which says:
Since we need to find sin(t), we have to solve for it:
Let's plug in the given cos(t) value:
And solve sin(t):
Simplify further:
And it all simplifies down to:
Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is:
Hope this helps!
Since we need to find sin(t), we have to solve for it:
Let's plug in the given cos(t) value:
And solve sin(t):
Simplify further:
And it all simplifies down to:
Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is:
Hope this helps!