Algebra help please?
1 answer:
You might be interested in
Answer:
y=-3x+5
Explanation:
Given a line L such that:
• L has y-intercept (0,5); and
,• L is perpendicular to the line with equation y=(1/3)x+1.
We want to find the equation of the line in the slope-intercept form.
The slope-intercept form of the equation of a straight line is given as:
Comparing the given line with the form above:
Next, we find the slope of the perpendicular line L.
• Two lines are perpendicular if the product of their slopes is -1.
Let the slope of L = m1.
Since L and y=(1/3)x+1 are perpendicular, therefore:
The y-intercept of L is at (0,5), therefore:
Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.
The equation of line L is:
Answer:
2 meters
Step-by-step explanation:
We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).
In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.
Now, we write:
= 6/x
To solve, we just multiply both sides by tan(x) and x:
x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.
Thus, the answer is 2 meters.
Hope this helps!