Which of the following lists of ordered pairs is a function? A.(2, 4), (3, 9), (4, 16), (5, 25) B.(0, 2), (4, 2), (0, –4), (4, –
marta [7]
A, is the answer because each input has one and only one output
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
53.778 is the answer. I hope this helps and have a good day!
4
Step-by-step explanation:
8/5(put 8 as numerator becuz we need to find all x from 5/8) x 2 1/2＝4
The value of 13 weeks in seconds is 7862400 seconds
<h3>Conversion of weeks to seconds</h3>
In order to convert weeks to seconds, we will use the following conversion factor
1week = 7 days
13weeks = 91days
<u>Convert days to hours</u>
Since 24 hours = 1 day, then;
91 days = (91*24)
91 days = 2184 hours
Convert hours to seconds
1 hour = 3600secs
Hence 2184 hours = (2184*3600)
2184 hours = 78624000 seconds
Hence the value of 13 weeks in seconds is 7862400 seconds
Learn more on conversion on weeks to seconds here: brainly.com/question/11947673
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