A hardware store sells ladders that extend up to 12 feet. The store's advertising says: Largest Inventory in the country! If you put all our ladders end to end, you could climb the top of the Empire State Building!

The company has 295 ladders in stocks. The Empire State Building is 1,453 feet tall.

Is it true that the ladders would reach the top of the building?

Explain how you solved the problem.

It is true that the ladders would reach the top of the building.

Step-by-step explanation:

295 x 12 = 3540

3540 > 1453

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.