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3 years ago

8

If the two lines below are perpendicular and the slope of the red line is -5/2, what is the slope of the green line

1 answer:

inna [77]3 years ago

5 0

-2
----
5

Because perpendicular is the opposite and the opposite of -5/2 is -2/5

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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):

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

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

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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

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3 years ago

Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. S

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3 years ago

I would like to buy a sandwich and pancakes, which would be $8.50, with a 6% tax and 20% gratuity, how much would that be all in

Luda [366]

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Step-by-step explanation:

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4 years ago

Read 2 more answers

Help<br><br> (5a-3a^3)*(4a-1)

ivann1987 [24]

Answer:

$-12a^{4} + 3a^{3} + 20a^{2} -5a$

Step-by-step explanation:

$(5a-3a^{3} )$ • $(4a-1)$

Let's use FOIL (first, outer, inner, last) to solve this. We'll multiply the terms by one another in that fashion.

$20a^{2} - 5a - 12a^{4} + 3a^{3}$

Rearrange in decreasing exponents.

$-12a^{4} + 3a^{3} + 20a^{2} -5a$

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3 years ago

1. Write an equation in point-slope form of the line that that passes through the point (4,-5) and has a

Aleks04 [339]

Answer:

y + 5 = (3/2)(x - 4)

Step-by-step explanation:

The point-slope formula is y - k = m(x - h). We get h and k from the given point: h = 4 and k = -5, and m from the given slope: 3/2. Then we have:

y + 5 = (3/2)(x - 4)

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3 years ago