Answer the following.
1 answer:
Answer:
Step-by-step explanation:
1)
Altitude = 2
Period = 2pi/(1/2) = 4pi
(since 1/2 is coefficient of x)
Altitude interval = [-4,0]
Domain interval = set of all real numbers
Phase shift = 0
Vertical shift = 2 down
2) y=-4sin(2x+pi/2)-2
Altitude = 4
Period = 2pi/(2) = pi
(since 2 is coefficient of x)
Altitude interval = [-6,2]
Domain interval = set of all real numbers
Phase shift = pi/2
Vertical shift = 2 down
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Answer:
Our two numbers are:
Or, approximately 7.66 and 3.66.
Step-by-step explanation:
Let the two numbers be <em>a </em>and <em>b</em>.
One positive real number is four less than another. So, we can write that:
The sum of the squares of the two numbers is 72. Therefore:
Substitute:
Solve for <em>a. </em>Expand:
Simplify:
Divide both sides by two:
Subtract 36 from both sides:
The equation isn't factorable. So, we can use the quadratic formula:
In this case, <em>a</em> = 1, <em>b</em> = -4, and <em>c</em> = -28. Substitute:
Evaluate:
So, our two solutions are:
Since the two numbers are positive, we can ignore the second solution.
So, our first number is:
And since the second number is four less, our second number is: