Will make you !
which of the following is true of the values of x and y in the diagram below?

The correct option is (D)

Step-by-step explanation:  We are given to select the correct option that is true of the values of x and y in the diagram.

We can see from the figure that

the polar co-ordinates of the point (x, Y) are given by

The relation between the Cartesian and polar co-ordinates are as follows :

Substituting the values of polar co-ordinates of the given point i the above equations, we get

and

So, we get two equations :

Since first equation is not in the given options, so the correct one is

(D)

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step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.