2 years ago

Can you please elaborate on this question? I'm unable to visualize what has been told.

Mathematics

1 answer:

lukranit [14]2 years ago

4 0

Answer:

See below

Step-by-step explanation:

See the attached image. My calculation seems a bit off from what I expected, but the reasoning might help.

The paper is trailing the dropped object and a mark is made every 0.020 seconds. By measuring the difference between the dots and dividing by the time, we can calculate the average speed at the the final 2 locations. The difference in these speeds is due to acceleration, as shown in the calculation.

My result wasn't what is considered correct for Earth's acceleration of gravity, but I offer possible explanations. Please check my calculations.

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Which polynomial identity will prove that 19 = 27 − 8?

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The answer is Difference of Cubes.

Difference of cubes is a³ - b³.
27 can be written as 3³ (= 3 × 3 × 3 = 27). So, a = 3.
8 can be written as 2³ (= 2 × 2 × 2 = 8). So, b = 2.

Difference of cubes can be expressed as:
a³ - b³ = (a - b)(a² + ab + b²)
⇒ 3³ - 2³ = (3 - 2)(3² + 3×2 + 2²) = 1 × (9 + 6 + 4) = 1 × 19 = 19
⇒ 27 - 8 = 19

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