Convert all the equations to slope-intercept form:



Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.
Answer:
y= -2
x = 5
Step-by-step explanation:
Multiply the top equation by 2 to get
2x + 6y = -2
then subtract the bottom equation by the new equation to get
2x + 6y = -2
--------------------
2x + 2y = 6
which is
4y = -8
y = -2
If y = -2
Then plug -2 into y in the top equation to get x + 3(-2) = -1 and simplify which is
x + (-6) and add 6 to both sides to get x = -1 + 6
which is x = 5
B, C, A are collinear because they lie on the same line.
D, C, A are not collinear because they do not lie on the same line
Answer:
x ≈ 19.7
Step-by-step explanation:
Using the sine ratio in the right triangle.
sin66° =
=
( multiply both sides by x )
x × sin66° = 18 ( divide both sides by sin66° )
x =
≈ 19.7 ( to the nearest tenth )