To find the other endpoint with a given endpoint and midpoint, you subtract the midpoint values from the endpoint, then with whatever the answer is, you subtract that from the midpoint.
Answer: At $21.85, the supply will equal to demand.
Step-by-step explanation:
Since we have given that
Demand function is given by

Supply function is given by

According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.

So, at $21.85, the supply will equal to demand.
Answer : The value of x and y is,
and 
Step-by-step explanation :
First we have to calculate the angle B.
As we know that,
The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.
Thus, 
Given : 


Now have to calculate the angle A.
As we know that the sum of interior angles of a triangle is equal to
.





Now we have to determine the angle y.
As we know that, line AD is an angle bisector. That means, it divides into two equal angles. So,



Now we have to determine the angle x.
As we know that the sum of interior angles of a triangle is equal to
.





Thus, the value of x and y is,
and 
Answer:
c
Step-by-step explanation:
Answer:
x = 1, y = 2, z = -1
Step-by-step explanation:
2x + 4y = 10
2x = -4y + 10
x = -2y + 5
now sub -2y + 5 in for x, back into the other 2 equations
2x + 2y + 3z = 3 -3x + y + 2z = -3
2(-2y + 5) + 2y + 3z = 3 -3(-2y + 5) + y + 2z = -3
-4y + 10 + 2y + 3z = 3 6y - 15 + y + 2z = -3
-2y + 3z = 3 - 10 7y + 2z = - 3 + 15
-2y + 3z = - 7 7y + 2z = 12
-2y + 3z = -7....multiply by 2
7y + 2z = 12...multiply by -3
--------------------------
-4y + 6z = -14 (result of multiplying by 2)
-21y - 6z = -36 (result of multiplying by -3)
---------------------------add
-25y = - 50
y = -50/-25
y = 2 <===
2x + 4y = 10 2x + 2y + 3z = 3
2x + 4(2) = 10 2(1) + 2(2) + 3z = 3
2x + 8 = 10 2 + 4 + 3z = 3
2x = 10 - 8 6 + 3z = 3
2x = 2 3z = 3 - 6
x = 2/2 3z = -3
x = 1 <== z = -3/3
z = -1 <===