Acube has side length x. one side of the cube is increased by 4 inches, and another side is doubled. the volume of the new rectangular prism is 450 cubic inches. the equation 2x2 + 8x2 = 450 can be used to find x. what was the side length of the original cube?

Let the length of side of cube=x

One side length is increased by 4cm,so the length will be x+4

Another side will be doubled,so new length will be 2x

And the thIrd side will be same as it is.

So the volume of new rectangular prism will be=

x × (x+4) × 2x=450

i.e 2x³+8x²=450

dividing 2 on both sides we will get,

x³+4x²=225

i.e x=5

So original length of cube is 5inch (Answer)

B. 5.

Step-by-step explanation:

It’s the right answer

- "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."

what is the question?

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