Answer:
x = ( k+c)/5
Step-by-step explanation:
5x - c = k
Add c to each side
5x -c+c = k+c
5x = k+c
Divide by 5
5x/5= ( k+c)/5
x = ( k+c)/5
Do this.
38 divided by two
then use the equation
38=5+2x
Equilibrium is point where supply = demand
Solve with substitution.
From supply equation ---> q = 2p - 63
Sub into demand equation ---> (p+30)(2p-63+25) = 2584
Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38
Sub back into supply equation to find q
q = 2(38) - 63
q = 13
Answer: Equilibrium is 13 units sold at price of $38.
Answer:
I believe 7 is the GTF (greatest common factor)
Answer:

Step-by-step explanation:
<u>Congruent Triangles</u>
The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.
Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore

Solving


The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by

Or

Thus

Solving

