V or x is something so if you add 9 to get 8 then you must subtract 9 from 8 to get -1 which would be your answer
Answer:
Step-by-step explanation:
Factor the numerator and cancel common factors from numerator and denominator.
Answer:
1. 36 sq un
2. 40 sq un
3. 20 sq un
Step-by-step explanation:
The answer for number one is 36 square units because the rectangular area is 24 sq un and the triangular area is 12 sq un so I added them to get 36 sq un. The second answer is 40 sq un because if you cut the shape into 2 shapes you get 2 equal trapezoids. Each trapezoid is 20 sq un so I multiplied it by two to get 40 sq un. The third answer is 20 because the side triangles are 2 sq un each and the square on the bottom is 16 sq un. By the way, sq un means square units lol.
Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:
To find:
The current that will produce the maximum power.
Solution:
We have,
Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is 
, then
In the given function, a=-12 and b=120. So,
Putting x=5 in the given function, we get
Therefore, 5 watt current will produce the maximum power of 300 amperes.
Answer:
(-3, 3√3)
Step-by-step explanation:
Evaluate each of the coordinates. Keep or drop the "i" as your convention requires.
6(cos(120°), i·sin(120°)) = (6·cos(120°), i·6·sin(120°)) = (6(-0.5), i·6·√3/2)
= (-3, 3√3 i)
You may want the (x, y) coordinates written as (-3, 3√3).
___
In the complex plane, this is -3+i·3√3.
