What are the coordinates of the point that is 1/3 of the way from a(-7, -2) to b(2, 4)?

  A.  (-4, 0)

Step-by-step explanation:

One way to do this is ...

  (1/3) B + (2/3) A = P . . . . the point of interest.

  (1/3)(2, 4) + (2/3)(-7, -2) = (2/3-14/3, -4/3 +4/3)

  = (-12/3, 0) = (-4, 0) . . . . matches choice A

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Another way to do this is to find the difference (D) between the points and add 1/3 of that to A.

  D = B - A = (2-(-7), 4-(-2)) = (9, 6)

  A + 1/3·D = (-7, -2) + 1/3(9, 6) = (-7 +3, -2 +2) = (-4, 0)

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

answer: it actually depends on which is the independent variable and which is the dependent variable. let us say we're looking at a linear equation. y=2x+3. we theoretically could switch the equation to be x=(y-3)/2 and it would be the same line. so either a causes b or it can be that b causes a. so technically the answer is false

step-by-step explanation: