According to the euclidean triangle theorem
9 = z² / 13
z² = 9 x 13 = 117
z = 3 √13
Check the picture attached.
Let OB be the radius of circle with center O.
Let B' be the image of B after the described rotation
OB and OB' are sides of the equilateral triangle OBB'.
The x coordinate of B' is the midpoint of OB, that is 5.
In the right triangle B', point (5, 0) and B:
Distance point (5, 0) to B is 5
|B'B|=|OB|=10
so by the pythagorean theorem:

units
Answer:
Answer:
g(f(x)) = -6x+6.
Step-by-step explanation:
It is given that,
f(x) = -3x + 2 and g(x) = 2x – 5
We need to find g(f(x)).
Put it into g(x).
g(f(x)) = 2(-3x + 2)+2
= -6x+4+2
=-6x+6
Hence, the value of g(f(x)) is -6x+6.
Answer:
C. 50
Step-by-step explanation:
Here we have to look at the given graph and find the answer.
The vertical axis represents the price and cost per unit. That is represented by P.
The horizontal axis represents the units of output, that is represented by q.
We need to find the number of units when p = $55.
By look at the graph of the curve MC, when P = $55, the number of units is 50.
Therefore, the answer is C. 50.
Hope this will helpful to understand the concept.
Thank you.