Answer:
Step-by-step explanation:
When x = 3, y = 13
When x = 5, y = 37
Subtract both y-values to find the change:
37 - 13 = 24
Average of the change:
= 12
The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise
<h3>How to find Complex Trigonometric numbers?</h3>
We are given;
z = 3(cos(15°) + i sin(15°))
w = 5(cos(90°) + i sin(90°))
Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.
Thus, option A is the correct answer.
Read more about Trigonometric Complex numbers at; brainly.com/question/12517327
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Answer:
One possibility is to work for (10) hours as a babysitter, and (10) hours as a cashier.
Step-by-step explanation:
An easy way to solve this problem is to set up a system to model the situation. Create one equation to model the money make, and the other to model the time spent. Let parameters (x) and (y) represent the time one spends at each job.
Since one cannot spend more than (20) hours a week working, set the first equation, for time, equal to (20),
x + y = 20
Now multiply each unit for the time by the money earned at each job, set this new equation equal to (150), the minimum amount of money one wishes to earn,
6(x) + 9(y) = 150
Thus the system is the following,
Now use the process of elimination. The process of elimination is when one multiplies one of the equations by a term such that when one adds the two equations, one of the variables cancels. One can solve for the other variable, and then backsolve for the first variable. Multiply the first equation by (-6) so that the variable (x) cancels.
Add the two equations,
Use inverse operations to solve for (y),
Now substitute the value of (y) back into one of the original equations and solve for (x),
Step-by-step explanation:
the temperature fell 24°F in 7 hours.
so, when it had -2°F at 7pm, it had 24° more 7 hours before that.
that is 22°F at 12pm (noon).
Answer:
m = 2
Step-by-step explanation:
To find the slope, simply use this equation:
m = y2 - y1 / x2 - x1
Now we need to insert some points:
m = 10 - 0 / 11 - 6
m = 10/5
m = 2
Therefore, the slope of the line is 2.