Answer:
The answer is b or d since the radius is the square root of 4
Step-by-step explanation:
<h3>2
Answers: Choice C and choice D</h3>
y = csc(x) and y = sec(x)
==========================================================
Explanation:
The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.
Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.
The same applies to...
- y = cot(x)
- y = sin(x)
- y = tan(x)
So we can rule out choices B, E and F.
Only choice C and D have graphs that do not have any x intercepts at all.
------------
If you're curious why csc doesn't have any roots, consider the fact that
csc(x) = 1/sin(x)
and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.
sec(x) = 1/cos(x)
Answer:
4800 beats an hour
Step-by-step explanation:
there are 60 minutes in and hour
the heart beats 80 times per minute( that is actually a very high heart rate)
80*60=4800 per hour
Answer:
y = x + 2
Step-by-step explanation:
The expression x-2 is from the equation y = x - 2.
To find the inverse of the equation, <u>switch the "x" and "y" variables</u>, then solve or <u>isolate for "y"</u>, meaning to separate it from the other numbers.
y = x - 2 Original equation
x = y - 2 Switched "x" and "y" variables
x + 2 = y - 2 + 2 Add 2 to both sides to cancel out '-2' on the side with "y"
x + 2 = y
y = x + 2 Variable is on left side in standard formatting
To isolate, do the reverse operation for the number you want to get rid of.
On the side with "y", I wanted to get rid of '-2' so I could separate "y" from everything else. '+2' is the reverse operation for '-2'.
