Answer:
-1/12
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-3)/(-21-15)
m=3/-36
simplify
m=-1/12
<h2>
Hello!</h2>
The answer is:
The second distance (
) is equal to 7.5 feet.
<h2>Why?</h2>
Since we are given two forces acting at distance, torque will be created. We are given two forces and one distance, so, to calculate the other distance required to balance the system (solve this fulcrum problem), we need to write the following equation:

Where,

We are given,

So, substituting and calculating, we have:




Hence, the second distance (
) is equal to 7.5 feet.
It's a logical solution since the second force is twice the first force and it means that the second distance must be equal to half the first distance in order to maintain the equilibrium condition.
Have a nice day!
Answer:

is the system of equations representing the situation.
Step-by-step explanation:
Given:
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.
Now, to find the system of equations representing the situation.
<u><em>Let the number of haircuts be </em></u>
<u><em /></u>
<u><em>Let the number of hair dyes be </em></u>
<u><em /></u>
So, Alexandra can give 3 haircuts and 2 hair dyes in:

Now, giving 2 haircuts and 4 hair dyes in:

Therefore,

is the system of equations representing the situation.
X-1=3x+3----plug the second equation in for x
-4=2x-------get the x on one side by subtracting x and 3
x=-2------divide by 2
y=x-1
y=-3------plug in x
(-2,-3)
Answer:
B. 3
It says the answer is too short so im just typing random stuff