Answer:
The answer is 137 degrees
Step-by-step explanation:
Add up the two angles you know already
93 + 44 = 137
Then you take that number and subtract it from 180 in order to find the other interior angle.
180 - 137 = 43
So angle LKJ is 43 degree
Now to find the exterior angle you take the missing angles measurement
Which is 43 and subtract it from 180 to get 137
Answer:
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.
Step-by-step explanation:
The period of a sinusiodal wave is given by the length of x axis which covers one full cycle of the wave, which one positive half-cycle and one negative half cycle.
From the graph we can see that one of the cycles starts at -3.14 / 4 and ends at 3.14
3/4.
Therefore we can sutract the start point value from the end point value to get the period
Therefore period = (3.14
3/4) - (-3.14 / 4) = (3.14
3/4) + (3.14 / 4) = 3.14
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.
Given the function, y = x/( x^2 – 1)
Add x and subtract x from (x^2 – 1) to make it a complete
square
y = x/(x^2 + x – x – 1)
y = x/[x(x + 1) – 1(x + 1)]
y = x/[(x – 1)(x + 1)]
In order to find the y -intercept, we set x = 0
When x = 0
y = 0/[(0 – 1)(0 + 1)]
y = 0.
Therefore, the y-intercept is zero.
In order to find the x -intercept, we set y = 0
When y = 0
0 = x/[(x – 1)(x + 1)]
The only way the product of a division will be zero is if
the numerator is zero
So, if x/[(x – 1)(x + 1)] = 0
x = 0
Therefore, the x-intercept is also zero.
Since both x- intercept and y- intercept equal zero,
Then, the given function has an x-intercept that is equal to
its y-intercept
Answer:
Red: 3/4
Blue: 9/5, 8/3
Green: 2 8/12, 2 1/2
Step-by-step explanation: