You don't even need the picture to solve this one.
You said that h = 5 cot(Θ) , and you said that Θ is 30 degrees.
All you need now is to find the cotangent of Θ, plop that into the equation,
and the solution practically jumps off the paper into your lap.
To find the cotangent of 30 degrees, you can use a calculator, look it up
in a book, read it off of a slide rule if you have one, draw a picture of a
30-60-90 right triangle etc. You'll find that the cotangent of 30 degrees
is √3 . That's about 1.732 .
So your equation is h = 5 (1.732) = <em>8.66 </em>(rounded)
Apparently, somebody gave you the equation, and asked you to find 'h'.
Once you had the equation, you didn't even need to know that 'h' has
anything to do with a triangle.
2x-8(-7-x)=6
2x+56+8x=6
10x=-50
x=-5
y=-7-(-5)
y=-2
(-5,-2)
Pick a value for 'x' then solve for the 'y'
Ex: X=6 then 6-2y=2 then 4=2y then y=2y
So your answer will be 6,2.
Another answer to your question would be 4,1.
Answer:
67.567567567568
Step-by-step explanation:
Answer:
Part A: The y-coordinate when x=0 is 6. So, the y-intercept is 6
Part B: The equation for a line is y = mx + b, where m is the slope and b is the y-intercept. For plant A, the slope is 1 and the y-intercept is 6. So, the equation for the line is y = x + 6.
Part C:The y-coordinate when x=0 is 4. So, the y-intercept is 4.
Part D:The equation for a line is y=mx+b, where m is the slope and b is the y-intercept. For plant B, the slope is 3/2 and the y-intercept is 4. So, the equation for the line is y= 3/2x+4.
Part E:The solution for the system of equations is (4,10). This solution is the same as the answer found graphically.
Answers straight from plato/Edmentum Hope this helps:) !