No, the correct identity is
. It is obtained by dividing the both sides of the Pythagorean Trigonometric Identity by cos²(x):
The proportionality constant of the given graph is k = 16.
<h3>How to find the proportionality constant of a graph?</h3>
The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.
Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn
<h3>Calculation:</h3>
The given graph has the coordinates as
x = 0; y = 0 i.e., (0, 0)
x = 0.5; y = 8 i.e., (0.5, 8)
x = 1; y = 16 i.e., (1, 16)
x = 1.5; y = 24 i.e., (1.5, 24)
and so on.
Then, the ratio of y - coordinate to the x - coordinate is
k = 8/0.5 = 16
or
k = 16/1 = 16
or
k = 24/1.5 = 16
and so on.
So, the proportionality constant for the given graph is k = 16.
Learn more about the proportionality constant here:
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Answer:
B. The time when the concert starts.
Step-by-step explanation:
If -5 is five minutes before and 5 is five minutes then 0 would be when it starts.
Y-5=3-9(y+2). so so u are going to distribute-9 to y and 2 which is -9y-18
so u are going to add like terms 3 and -18 which is -15. so the next step is going to be y-5=-9y-15 so u are going to add 5 to -5 and -15 to balance the equation and u will get -10 . y=-9y -10. since u are multiplying -9 by y so have to expand it y= -9 * y -10. so u have to divide y by y to get y . -9-10= -19 soo y =-19
Answer:
3/20
Step-by-step explanation:
15 and 100 both have a common factor of <em>5</em>. To simply an expression, you have to get both the numerator (top number) and the denominator (bottom number) to be as low as possible (to make it so that both can't be divided anymore or don't have shared factors). We divide both sides by 5 (which still retains as an integer and has the same value) and so 15/3=5 and 100/5=20.
Have a nice day! :)
