Which coordinate divides the directed line segment from −10 at j to 23 at k in the ratio of 2 to 1?

1

11

12

  12

Step-by-step explanation:

The difference of the two coordinates is ...

  23 -(-10) = 33

The desired coordinate is 2/3 of that length from J, so is ...

  J + (2/3)·33 = J +22 = -10 +22 = 12

The desired coordinate is 12.

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6