The vertices of / are g(–4, 0), h(5, 2), and i(–2, –3). / is rotated 270° counterclockwise about the origin to form /. what are the coordinates of the vertices of /?

The new coordinate of vertices of triangle after rotation G'(0,4) , H'(2,-5) and I'(-3,2)

Step-by-step explanation:

The vertices of triangle are G(–4, 0), H(5, 2), and I(–2, –3).

It is rotated 270° counterclockwise about origin to form new triangle.

Rotation about origin counterclockwise.

Using Rule:

The new coordinate of vertices of triangle after rotation G'(0,4) , H'(2,-5) and I'(-3,2)

- "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."

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