Answer:
18.7 feet far
Step-by-step explanation:
Based on the information given we can conclude that our set up will be a Right triangle (i.e. one angle is 90°), where the hypotenuse will be denoted by the guy wire of 
and angle of 21° is the angle formed between then hypotenuse and the base (i.e. ground).
Thus we want to find the base length (lets call it 
) of this triangle, so we can use trigonometry as we have one angle and the hypotenuse, as follow:
So the base is approximately 18.7 feet far from the tree of the anchored wire.
Ok so for part a we're going to use substitution, since both equations have y alone.
Step 1: Use substitution
y = x - 1 y = -x + 3
x - 1 = -x + 3
If you think about it, this makes sense. You're looking for the point where they intersect, and you know that the y coordinate for that point will be the same in both equations. Therefore, we can set the rest of the equations equal to each other. Now we just need to simplify.
Step 2: add x to each side
x - 1 + x = -x + 3 + x
The x's on the right cancel out so we get:
2x - 1 = 3
Step 4: Add 1 to each side
2x - 1 + 1 = 3 + 1
2x = 4
Step 5: Divide both sides by 2
2x/2 = 4/2
x = 2
Step 6: Plug this x value back into one of the original equations to find the y coordinate
y = x - 1
y = 2 - 1
y = 1
Therefore your answer to part a is (2,1)
I've graphed the solution and attached it. It shouldn't be too hard to replicate - just draw both lines and they should intersect at (2,1)
Hope that helps! If you need clarification or anything please feel free to ask :)
Answer:
Step-by-step explanation:
3) m=(y2-y1)/(x2-x1)
m=(-3-(-15))/(-4-11)
m=(-3+15)/-15
m=12/-15
simplify
m=-4/5
Answer: -4/5
-----------------------
5) m=(y2-y1)/(x2-x1)
m=(12-(-11))/(15-12)
m=(12+11)/3
m=23/3
Answer: 23/3
Please mark me as Brainliest if you're satisfied with the answer.
This is the concept of proportionality, given that m is directly proportion to y and n and inversely proportional to p^2. We are required to find what happens to m when y is quadrupled, p is tripled and n is multiplied by 5;
From the equation;
m=(yn)/p^2
when:
y is quadrupled we get 4y
p is tripled we get 3p
n is multiplied by 5 we get 5n
thus the new value of m will be:
m=(4y*5n)/(3p)^2
m=(20yn)/9p^2
m=(20/9)(yn/p^2)
that means that m will be increased bby 20/9
