Which of the following are also representations of (2.5, 135 degrees)? Select all that apply. [2 answers]

a. (2.5, -225 degrees)
b. (-2.5, -225 degrees)
c. (-2.5, 45 degrees)
d. (-2.5, -45 degrees)
e. (-2.5, 315 degrees)

Clearly not both A and B, since they have the same angle, but opposite values for r.

A is correct, since 135-360 = -225

Now, if you want r to be -2.5, then your angle needs to be in the opposite direction, or
135-180 = -45. That would be D

Try actually plotting the point and seeing which angles get there, using positive and negative values for r.

Ignore that question.

Are the answers A and B?

don't know if anyone else had to give three answers to this, but e is also correct

its a c and e

what is 135-360?

135-360=-225

But how do determine the first number?

To determine which of the given representations are equivalent to the point (2.5, 135 degrees), we need to understand the polar coordinate system.

In the polar coordinate system, a point is represented by two values: the radius (distance from the origin) and the angle (measured in degrees or radians). The radius is always positive or zero, while the angle can be positive, negative, or greater than 360 degrees.

Given the point (2.5, 135 degrees), the radius is 2.5 units, and the angle is 135 degrees. Now let's evaluate each given answer choice:

a. (2.5, -225 degrees): The angle here is -225 degrees, which is not equivalent to 135 degrees. Incorrect.

b. (-2.5, -225 degrees): The radius here is -2.5 units, which doesn't make sense as the radius should be positive or zero. Incorrect.

c. (-2.5, 45 degrees): The radius here is -2.5 units, which doesn't make sense as the radius should be positive or zero. Incorrect.

d. (-2.5, -45 degrees): The radius here is -2.5 units, which doesn't make sense as the radius should be positive or zero. Incorrect.

e. (-2.5, 315 degrees): The radius here is -2.5 units, which doesn't make sense as the radius should be positive or zero. Incorrect.

Therefore, none of the given representations are equivalent to (2.5, 135 degrees).