Can't answer 1-6 cause I have no idea what you need
7) A triangle with two congruent sides is isosceles.
8)
and 
9) 
10) 
11) 
12) isosceles triangle
Answer:
57 + x³
Step-by-step explanation:
You first need to establish the benefits function B. For each firm it is equal to the amount produced (q1 for firm 1 and q2 for firm 2) multiplied by the price P, minus cost C. It is
B1 = P.q1 - C1 = (69 - q1 - q2)q1 - C1
B2= P.q2 - C2 = (69 - q1 - q2)q2 - C2
As firma Will maximize benefits we need the derivative in q1 and q2 for firms 1 and 2 respectively. This will give us
69 - 2q1 - q2 = 0
69 - q1 - 2q2 = 0
Note that the derivative of cost is null as marginal cost is null.
Thus,
q2= 69 - 2q1
Replacing on the second equation:
69- q1 - 138 + 4q1 = 0
-69 + 3q1= 0
q1= 69/3=23
Replacing in the q2 equation:
q2=69- 46= 23
To find the money they make replace in benefits function. First we find piece P=69-23-23=23. Thus:
B1=23*23-C1
B2=23*23-C2
As we don't have a value for C1 and C2 we can't compute a number for benefits. If you have these values you will have the benefits.
Answer:
p = 4
Step-by-step explanation:
The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)
<h3>Cross multiply</h3>
This means multiply both sides of the equation by the product of the denominators:
(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"
15p = 60 . . . . . . simplify
<h3>Second step</h3>
Now, divide by the coefficient of the variable.
15p/15 = 60/15
p = 4
The solution is p = 4.
__
<em>Additional comment</em>
If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.
__
For example, to solve ...
2/5 = p/10
you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.
__
Any proportion can be written 4 ways:

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:
6/15 = p/10 ⇒ p = 10(6/15) = 4