Let v = (1,-3) and w = (-2,6). which of the following is true? check all that apply. a. the x-component of v is -2. b. the y-component of w is 6. c. v+w = 36 d. w = -2v

 The correct options are

(B). The y-component of w is 6.

(D). w = -2v.

Step-by-step explanation:  Given that

We are to select all the correct statements from the given options.

The first component in an ordered pair is called the x-component and the second component is called the y-component.

Option (A) is

"The x-component of v is -2".

This statement is incorrect because the first component (x-component) of 'v' is 1.

Option (B) is

"The y-component of w is 6."

This statement is correct, because the second component (y-component) of 'w' is 6.

Option (C) is

"v+w = 36".

Since the sum of two ordered pairs is again an ordered pair, so this option is not correct.

In fact,

Option (D) is

"w = -2v".

We have

So, this option is correct.

Thus, the correct options are (B) and (D).

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.