Line segment AB is divided by point C in the ratio 1:2. Point A is at (-6, 6) and point C is at (2, 4). What are the coordinates of point B?

9514 1404 393

  B(10, 2)

Step-by-step explanation:

The division by point C means ...

  B -C = 2(C -A)

  B = 3C -2A . . . . . add C and simplify

  B = 3(2, 4) -2(-6, 6) = (3·2 -2(-6), 3·4 -2(6))  . . . .  fill in the coordinate values

  B = (6+12, 12-12)

  B = (18, 0)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.