Answer:
no solution
Step-by-step explanation:
y = -2x + 3
6x + 3y = -3
the substitution method means you plug one equation into the next, because the first equation gives us a solution for y we can go ahead and plug that into y of the second equation
6x + 3(-2x + 3) = -3
6x - 6x + 9 = -3
9 = -3
which is false meaning that there are no solutions and the lines don't touch at any point
You can just use the app SnapCalc it answers anything for free
Answer:
197,8879 N.
Step-by-step explanation:
The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.
The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.
With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.
The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.
F= (120 N cos 60°) + (180 N x cos 40°)
F= 197,8879 N
Okay. Since we know that the customer before them bought one of each type of bulb, we can subtract one bulb from each type so now, here is what the store has:
5 amaryllis
6 daffodils
3 lilies
2 tulips
Next, let’s find the probability of the customer picking an amaryllis.
We know there are 5 amaryllis, so we can put that as the numerator.
Next, we have to add up all the flowers to get the denominator.
5+6+3+2
I got 16.
So now we have 5/16
So, that is our answer! 5/16, or as a decimal 0.3125, or as a percentage 31.25%.
Hope this helps! Comment if you have any questions! :)
