Parallel lines NEVER intersect/meet, this is because they have the same slope and they go in the same direction.
These lines are parallel because they have the same slopes of 3/4 (because they go 3 units up and 4 units to the right. slope = rise/run)
Best Answer: <span>4/3x-6y, 1/5x-10y
= 4/3(x-2y) , 1/5(x-2y)
LCD = 3 × 5(x – 2y) = 15(x – 2y</span>
Answer:
y = 3/2x + 6
Step-by-step explanation:
y = 3/2x - 4
y-intercept through point (-2, 3):
3 = 3/2(-2) + b
3 = -3 + b
b = 6
Equation of line:
y = mx + b
y = 3/2x + 6
**Parallel line share the same slope, in this case 3/2.
slope is 1/3
Explanation:
We apply the slope formula:
Answer: The top of the Crane is 31 feet above the ground.
Step-by-step explanation:
When it is fully extended, the crane arm forms a 30 degree angle with a line parallel to the ground. This means that a right angle triangle is formed. The length of the Crane's arm represents the hypotenuse. The horizontal distance represents the adjacent side of the right angle triangle. The distance, h of the top of the Crane from the ground represents the opposite side of the right angle triangle.
To determine h, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = h/62
h = 62Sin30
h = 62 × 0.5
h = 31 feet
