3 years ago

How many tearms are in each factor of this expression 5(6+4x)

Mathematics

1 answer:

Reil [10]3 years ago

8 0

there are four terms in this expression with each factor

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

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HELP 20 POINTS!! Where is point A on the number line?

Bingel [31]

Answer:

3 1/2

Step-by-step explanation:

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What's the slope of the line?

mixas84 [53]

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The slope is -1

Step-by-step explanation:

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Lesson 5: Lines and Triangles Geometry A Unit 4: Parallel and Perpendicular Lines

aev [14]

The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°.
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Help me answer this.

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Not sure about this but, is it a line?

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