Find the point, m, that divides segment ab into a ratio of 5: 3 if a is at (-4, -2) and b is at (4, -10). a) (1, -7) b) (2, -7) c) (2, -8) d) (1, -8)

Now remember with this situation, 5:3 is not 5/3, but rather it's "5 equal parts to 3 equal parts", which is a total of 8 equal parts. This problem wants you to place point M at 5/8 the distance from A to B.

Firstly, how many units apart is -4 to 4 (the x-coordinates)? That's 8 units. Multiply 5/8 by 8:

Next, how many units apart is -2 to -10 (the y-coordinates)? That's 8 units as well. Multiply 5/8 by 8.

Now, since from -4 to 4 you are increasing, add 5 to -4:

1 is your x-coordinate.

Now since from -2 to -10 you are decreasing, subtract 5 from -2:

-7 is your y-coordinate.

Putting it all together, point M is at (1,-7), or A.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

1,8,15,22,29,36,43,50

step-by-step explanation: