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3 years ago

Find the least common multiple of x2 – 4x – 5 and x2 – 3x – 10.

Mathematics

1 answer:

vfiekz [6]3 years ago

5 0

x² - 4x - 5 x² - 3x - 10

(x - 5)(x + 1) (x - 5)(x + 2)

GCF: (x - 5)

LCM: (x - 5)(x + 1)(x + 2)

Answer: (x - 5)(x + 1)(x + 2)

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Suppose that the height (in centimeters) of a candle is a linear function and the amount of time (in hours) it has been burning.

lisabon 2012 [21]

Answer: cockme

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cockme

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3 years ago

During the spring car wash, the activities club washed 14 fewer cars than during the summer car wash. They washed a total of 96

Mashutka [201]

You can make an equation to solve this, but establishing knowns, unknowns, and relationships.

# in spring wash = x
# in summer = x + 14
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we know:
total = summer + spring

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96 = 2x + 14
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3 years ago

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faltersainse [42]

The radicand of 2 is irrational

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3 years ago

Read 2 more answers

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

Answer- Length of the curve of intersection is 13.5191 sq.units

Solution-

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

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3 years ago

Math is a difficult subject for many students. Often, algebra is the worse, with “what do you mean solve for X? What is X”?! Mat

irakobra [83]

You could just go to kahn academy tho

3 0

3 years ago