12. Yes, because the diagonals of a parallelogram bisect each other.
14. Yes, a parallelogram has opposite sides that are equal.
Hope this helps =)
I'm thinking this is what the problem looks like:

. The first thing to do is to move the

over to the other side because it has a common denominator with the other side. Doing that and at the same time combining them over their common denominator looks like this:

. The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4). Distributing through the parenthesis is 12 - 3x = -4x + 16. Solving for x gives us x = 4. Of course when we sub a 4 back in for x we get real problems, don't we? Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.
The correct answers are B and C.
Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.
A does not work; 10 is 5*2 and 24 is 6*4. These won't be in the same ratio.
B works; 15 is 5*3 and 18 is 6*3. These have the same ratio.
C works; 35 is 5*7 and 42 is 6*7. These have the same ratio.
D does not work; 26 is not a multiple of 6.
E does not work; 45 is 5*9 and 48 is 6*8. These will not have the same ratio.
Answer:
73.75
Step-by-step explanation:

Multiply numerator and denominator by 1000:

Divide 57820 by 784 to get 7
Now divide 2940 by 784 to get 3
Now divide 5880 by 784 to get 7
Now divide 3920 by 784 to get 5
The solution of the long division is :
73.75
Answer:

Step-by-step explanation:
Vertex form:
where:
is the vertex
is some constant
Given:
- vertex = (-4, -1)
- point on parabola = (-2, -3)
Substitute given values into the formula to find
:





Therefore, the equation of the parabola is:
