An angle measuring (525n)° is in standard position. For which value of n will the terminal side fall along the negative portion of the y-axis?A) n = 2
B) n = 3
C) n = 5
D) n = 6
Answers
For n=2,
put the value 2 in the above equation we get 525*2=1050°.
1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.
For n=6,
put the value 6 in the above equation we get 525*6=3150°.
3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.
The value of n that causes the y-component of the terminal side to be negative is n = 2.
For which value of n the terminal side has a negative y-value?
We know that for a polar point with coordinates of (R, θ), the rectangular coordinates of an equivalent point are:
x = R*cos(θ)
y = R*sin(θ)
In this case, R does not matter, because it is always positive. We want to have a negative value of y, so we want:
y = sin(θ) < 0.
where θ = (525n)°
So we can check for different values of n, and see which one gives a negative sine:
n = 2
sin(525*2°) = -0.5
So for the first value that we tried, we found the correct option. Then we conclude the correct option is A.
If you want to learn more about the sine function:
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Related Questions
What is the range of this graph
Help plz i will make u a brainllest 24.Can you use the SSS Postulate or the SAS Postulate to prove abd=dca? 26 28
Which expression is equivalent to 7 2/3⋅7 1/4?
He number of 90° angles formed by the intersections of and the two parallel lines and is .
Answers
False. The converse may be either true or false, depending on what the original statement is, so assuming the converse would be pointless.
Answer:
false
Step-by-step explanation:
statement: if apple, than it is fruit
converse: if fruit, than it is apple (not always true)
The converse statement is sometimes true sometimes not
Answers
Answer:
substitution (or addition)
Step-by-step explanation:
A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:
x = 6y -8
7(6y -8) -y = -2 . . . . . x variable eliminated
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The second equation is easily solved for y, so you could substitute that into the first equation.
y = 7x +2
-x +6(7x +2) = 8 . . . . . y-variable eliminated
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The "addition" method is always a good way to eliminate a variable.
When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.
To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:
7(-x +6y) +(7x -y) = 7(8) +(-2)
42y -y = 56 -2 . . . . . . x-variable eliminated
Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:
(-x +6y) +6(7x -y) = (8) +6(-2)
-x +42x = -4 . . . . . . . . y-variable eliminated
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It is often the case that using either substitution or "addition" requires about the same amount of work.
Here, the solutions are (x, y) = (-4/41, 54/41).
Final answer:
To eliminate a variable in the given system of equations, you can use the elimination method. By multiplying the equations by suitable numbers and adding them, you can cancel out one of the variables, simplifying the process to solve for the other variable.
Explanation:
You can eliminate a variable in the given system of equations: −x+6y=8 and 7x-y=−2 by using either the substitution method or the elimination method. For this scenario, the elimination method will work best.
Strategy:
- To eliminate x, you should first multiply the first equation by 7 and the second by 1, resulting in the equations: -7x+42y=56 and 7x-y=-2
- Adding these two equations together, the x terms (-7x and 7x) cancel out, giving us: 41y=54.
- Finally, you divide both sides by 41 to solve for y. This process effectively eliminates the variable x from the equation, providing a solution for y.
This variable eliminationstrategy lets you solve one equation for one variable, simplifying the process of finding solutions for a system of equations.
Learn more about Variable Elimination here:
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(27, 3)
(1, 0)
Answers
Answer:
(0,1) doesn't lie on the graph.
Step-by-step explanation:
We have been given the logarithmic equation
We can check which point lie on the graph of the given function by substituting x coordinates in the equation and find the corresponding y coordinate.
For x = 0
The value of log 0, is undefined, Hence, we'll not get a real value for this x value.
Hence, (0,1) doesn't lie on the graph.
For x = 27
Hence, (27,3) lie on the graph.
For x = 1
Hence, (1,0) lie on the graph.
Therefore, (0,1) doesn't lie on the graph.
(1, 0)
Working;
Substituting the value of x;
x=27
y=log81
=1.9084
x=1
y=log 3
y=0.4771
Answers
Hey there! :) So 7 weeks = 49 days, right? In order to get 49, you do 7(weeks) x 7(days per week) and get 49. Now, we compare. 49 < 52. 52 is greater.
Hope it helps! :D Have a great evening!
Answers
We can use AAA or Angle-Angle-Angle to prove that these triangles are similar.
Each parallel line creates the same angle when intersecting with the same side.
For example:
The bases of each triangle cross the left side of all the triangle.
Each angle made by the intersecting of the the parallel base and the side are the same.
Thus, each corresponding angle of all the triangles are congruent.
If these angles are congruent, then we have similar triangles.
Actually, the answer is ASA postulate!!!! I just took the county geometry quiz and got it correct