Answer:
Explained Below
Step-by-step explanation:
first we need to turn the equation into point slope form.
3x + 4y = 12
4y = -3x + 12
y = -0.75 + 3
Parallel lines don't have a change in slope because they run parallel. Your answer would be -0.75 or -3/4.
R + t + L = 5(24).....r + t + L = 120
6r + 4t + 3L = 610
r = 2(t + L).......r = 2t + 2L
2t + 2L + t + L = 120
3t + 3L = 120
6(2t + 2L) + 4t + 3L = 610
12t + 12L + 4t + 3L = 610
16t + 15L = 610
16t + 15L = 610
3t + 3L = 120 ...multiply by -5
-------------------
16t + 15L = 610
-15t - 15L = - 600 (result of multiplying by -5)
-------------------add
t = 10
3t + 3L = 120
3(10) + 3L = 120
30 + 3L = 120
3L = 120 - 30
3L = 90
L = 90/3
L = 30
r = 2(t + L)
r = 2(10 + 30)
r = 2(40)
r = 80
so for all the bouquets, there are 80 roses, 30 lillies, and 10 tulips....but there are 5 bouquets...
so each bouquet has :
80/5 = 16 roses <==
10/5 = 2 tulips <==
30/5 = 6 lillies <==
The slope is 2 the y-intercept is (0,5) the x-intercept is (-5/2, 0)
Well basically you just have to chose a number of sides for the side length of the square to be and move those many places to get another vertex of the square. For example if we have (-2,3) and we choose the side lengths to be 4 units than you could move 4 places up, down, left, or right to get the other vertices for the square
Hope that helps :)
