Which expressions are equivalent to 6g - 18h? the answers they give me are a) (g-3) • 6 b) 2•(3g-18h) c) 3(2g-6h) d) (-g-) e) -2×(-3g+9h)

To find which of the given expressions are equivalent to we will simplify these given expressions one by one.

A)

By using distributive property we get

b)

Upon distributing 2 to the given expression we get

c)

Upon distributing 3 we get

d)

Upon distributing -6 we get

e)

Using distributive property we get

Therefore expressions given in option c and e are equivalent to

You can use the distributive property of multiplication over addition and the fact that 18 is thrice of 6.

The given expression is equivalent to

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

(remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in  )

The given expression is

We know that we can write

Thus,

All of the above forms are obtained from the same expression without altering its value but only forms, so their simplified forms are same so they are equivalent expressions.

Thus,

The given expression is equivalent to

Learn more about equivalent expressions here:

link

x = -2

y = 848

step-by-step explanation:

plug in the numbers

- "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."