PLEASE HELPPP
13. Find the rectangular coordinates of (9, 150°).
(Show work)

Step-by-step explanation:

Substitute in the known values of

r = 9 and θ =150 into the formulas. (9) cos (150)

y = (9) sin (150)

x = 9 (− cos (30) ) y = (9) sin (150)

The exact value of cos. (30) is √3

2

x = 9 ( − √3)

2

y = (9) sin (150)

blah blah blah

(9, 150) is

The rectangular representation of the polar point (9,150) is (−9√3/2, 9/2)

Step-by-step explanation:

Use the conversion formulas to convert from polar coordinates to rectangular coordinates.

x = rcosθ

y = rsinθ

Substitute in the known values of r = 9 and θ = 150 into the formulas.

(9) cos (150)

y = (9) cos (150)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.

x = 9 (-cos (30))

y = (9) sin (150)

The exact value of cos (30) is √3/2.

x = 9 (-√3/2)

y = (9) sin (150)

Multiply 9 (-√3/2)

x = -9√3/2

y = (9) sin (150)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

x = -9√3/2

y =9(sin)30

The exact value of sin (30) is ½

x = -9√3/2

y = 9 (½)

Combine 9 and ½

x = -9√3/2

y = 9/2

The rectangular representation of the polar point (9,150) is (−9√3/2, 9/2)

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.