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3 years ago

Calculate the exact lengths of segment e and segment f. Which is longer?

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

Answer:

Step-by-step explanation:

(We use the pythagorean theorem)

3-(-1) = 4

-2-1 = -3

4x4 + -3 x -3 = 16 x 9 = 144

line e: 12

2-(-1) = 3

3x3 + 3x3 = 9 x 9 = 81

line f: 9

Therefore, line e is longer!

Hope this helps! .ω.

Please give me brainliest :<

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The region bounded by y=(3x)^(1/2), y=3x-6, y=0

Ganezh [65]

Answer:

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Step-by-step explanation:

The given curve is $y = (3x)^{\frac{1}{2} }$

⇒ $y^{2} = 3x$ ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

$y^{2} - y - 6 = 0$

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = $\int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx$

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= $[\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} } }{3}] - [13.5 - 18 - 6 + 12]$

= 6 - 1.5

= 4.5 sq. units. (Answer)

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