Which ordered triple is located in the same octant as (3, −4, 7)?

(2,-5,4)

Step-by-step explanation:

The point given has

POSITIVE x coordinate

NEGATIVE y coordinate

POSITIVE z coordinate

Another point that is POS/NEG/POS (x,y,z) will be in the same octant as the point given. When we look at the choices, the one that satisfies this condition is  the point (2,-5,4). The x coordinate is POSITIVE, the y-coordinate is NEGATIVE, and z-coordinate is POSITIVE.

This is the correct choice.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."