Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Step-by-step explanation:
Let x= height of each fir tree, y = height of each pine tree.
As per given, we have
x+y = 21 (i)
4x=y+24 (ii)
From (ii),
(iii)
Add (i) and (iii), we get

Put value of x in (i), we get

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Answer:
1. y = -2x + 5
2. y = 3/5x + 5
3. y = -4/5x - 4
4. y = - 1
5. yes
6. yes
7. yes
8. no
Step-by-step explanation:
1. (4,-3) parallel to y= -2x
-3 = -2(4)+b
b=5
2. (-5,2) parallel to y = 3/5x
2= 3/5(-5)+b
b=5
3. (-5,0) -4/5x
0 = -4/5(-5)+b
b = -4
4. (-4,-1)
y= -1
5. yes
6. yes
7. yes
8. no
- Same slope = parallel ex. y = -5x +7, y = -5x +12
- opposite reciprocal = perpendicular ex. y = -5x +7, y = 1/5x + 12
- to find "b" with slope and point
(x,y) y = mx + b
plug in the y value and x value in the eqaution and m=slope, solve for b
150 each because he will have $6 left