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3 years ago

What is 6=- x/8 Plz help

Mathematics

1 answer:

nekit [7.7K]3 years ago

5 0

Answer:

1 .Multiply both sides by 88.

6\times 8=-x6×8=−x

2 .Simplify 6\times 86×8 to 4848.

48=-x48=−x

3. Multiply both sides by -1−1.

-48=x−48=x

4. x=−48

Step-by-step explanation:

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1 year ago

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3 years ago

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1.) Find the length of the arc of the graph x^4 = y^6 from x = 1 to x = 8.

xxTIMURxx [149]

First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

$x^4 = y^6 \implies \left(x^4\right)^{1/6} = \left(y^6\right)^{1/6} \implies x^{4/6} = y^{6/6} \implies y = x^{2/3}$

(If you were to plot the actual curve, you would have both $y=x^{2/3}$ and $y=-x^{2/3}$ , but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)

The arc length is then given by the definite integral,

$\displaystyle \int_1^8 \sqrt{1 + \left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx$

We have

$y = x^{2/3} \implies \dfrac{\mathrm dy}{\mathrm dx} = \dfrac23x^{-1/3} \implies \left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2 = \dfrac49x^{-2/3}$

Then in the integral,

$\displaystyle \int_1^8 \sqrt{1 + \frac49x^{-2/3}}\,\mathrm dx = \int_1^8 \sqrt{\frac49x^{-2/3}}\sqrt{\frac94x^{2/3}+1}\,\mathrm dx = \int_1^8 \frac23x^{-1/3} \sqrt{\frac94x^{2/3}+1}\,\mathrm dx$

Substitute

$u = \dfrac94x^{2/3}+1 \text{ and } \mathrm du = \dfrac{18}{12}x^{-1/3}\,\mathrm dx = \dfrac32x^{-1/3}\,\mathrm dx$

This transforms the integral to

$\displaystyle \frac49 \int_{13/4}^{10} \sqrt{u}\,\mathrm du$

and computing it is trivial:

$\displaystyle \frac49 \int_{13/4}^{10} u^{1/2} \,\mathrm du = \frac49\cdot\frac23 u^{3/2}\bigg|_{13/4}^{10} = \frac8{27} \left(10^{3/2} - \left(\frac{13}4\right)^{3/2}\right)$

We can simplify this further to

$\displaystyle \frac8{27} \left(10\sqrt{10} - \frac{13\sqrt{13}}8\right) = \boxed{\frac{80\sqrt{10}-13\sqrt{13}}{27}}$

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2 years ago

Pamela compró un trozo de carne uso 3/8 kg de ese trozo para preparar un guisado y sobraron 3/4 kg ¿cuanto pesaba originalmente

vova2212 [387]

Answer:

Pamela bought a piece of meat using 3/8 of that piece to make stew and there were 3/4 kg left over how much did the piece of meat he ate originally weigh?

Step-by-step explanation:

I searched it up. hopefully it helps

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3 years ago

Please help ASAP<br> Please help ASAP<br> Please help ASAP<br> Please help ASAP

Alex_Xolod [135]

The volume of the rectangular box is 12 cubic inches

<h3>Volume of a box</h3>

The formula for measuring the volume of a rectangular box is expressed as:

V = lwh

l is the length

w is the width

h is the height

Given the following

l = 2in

w = 3in

h = 2in

Substitute

V = 2* 3 * 2

V = 12 cubic inches

Hence the volume of the rectangular box is 12 cubic inches

Learn more on volume of. rectangular box here: brainly.com/question/8880159

#SPJ1

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1 year ago