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Goryan [66]
3 years ago
6

On a recent math test, Tony earned 89 points out of 120. Calculate his percentage.

Mathematics
1 answer:
Mashutka [201]3 years ago
8 0
74.1% is the percentage

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a line has the equation 4y=3x-8 which is the equation of a line parallel to this line that has a y intercpt of 4?
Nikolay [14]

Answer:

y=34x+2.625

y=34x+2.75

y=−34x+1.25

y=34x+1.25

y=−34x+2.75

Correct answer:

y=−34x+2.75

Step-by-step explanation:

5 0
3 years ago
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]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

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




8 0
3 years ago
Please help!!!!!!!!!!!!!!!!
riadik2000 [5.3K]
Write f(x) / g(x) = 1 / ((x+1)(x-2)).

It's easy to see that x cannot be -1 and 2;
So all real numbers exclude -1 and 2, which matches the second choice.
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3 years ago
A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation? 2y = 16x +14 y
Juliette [100K]

Answer:

I think its y=8x-7

Step-by-step explanation:

Pls tell me if i'm wrong.

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(8000)+(800)+(80)+(0)
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