We mathematically express the given such that it becomes,
4 / (x - 4) = x / (x - 4) - 4/3
To answer this, multiply the equation by 3(x - 4) since this is the least common multiple (LCM).
4(3) = (3)(x) - 4(x - 4)
Simplifying,
12 = 3x - 4x + 16
4 = -4x
The value of x should be equal to -1.
The calculated value of y can be calculated.
It would be the bottom right because it’s closest to a line
Answer:
The angles are <u>155°</u> and <u>25°</u>.
Step-by-step explanation:
Given:
Two supplementary angles are in the ratio of 31:5.
Now, to find the angles.
The sum of two supplementary angles = 180°
Let the ratio of the angles be
.
So, according to question:


<em>Dividing both sides by 36 we get:</em>

So, 
And, 
Therefore, the angles are 155° and 25°.
Answer:
5 amperes will produce the maximum power
Step-by-step explanation:
The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c)= -12c^2 + 120c.
To find out the maximum power we need to find the vertex
formula to find x -coordinate of vertex is 
P(c)= -12c^2 + 120c is given in the form of y=ax^2+bx+c
a= -12, b = 120

c= 5 amperes will produce the maximum power