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3 years ago

PLZ HELP!!! what r the answers??

Mathematics

1 answer:

vekshin13 years ago

3 0

Answer:

Question 2 the answer is C) y = -3/2x + 2

Question 3 the answer is D) x = 4

Step-by-step explanation:

To solve either we first need to know that parallel lines have the same slope.

So in #2 we know that the new line will also have a slope of -3/2. Therefore, we can use that along with the point given in the problem in point-slope form to get the new equation.

y - y1 = m(x - x1)

y + 1 = -3/2(x - 2)

y + 1 = -3/2x + 3

y = -3/2x + 2

And for #3, we know that we have a vertical line due to the fact that it is expressed as x = a number. Therefore, we must have the same in the answer. D is the only one that has such an answer.

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Write an equation of the line through (6,-2) with a slope of 4

torisob [31]

Notice that for this question, they are providing you with:

1) The slope of the line (4)

2) a point on the plane through which the line goes (6, -2)

So you can directly use for this the "point-slope" form of a line which is as follows:

$y-y_0=m(x-x_{0)}$

This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.

So, let's use the info they gave you to complete this:

$y-(-2)=4(x-6)$

which we can work out a little more:

$y+2=4x-24$

And even a little more to finish the equation of the line in its standard slope-intercept form:

$y=4x-24-2=4x-26$

So the equation of the line is:

$y=4x-26$

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11 months ago

3/4 is added to x, the result is 9/8. What is the value of x?

KIM [24]

Answer:

x=3/8

Step-by-step explanation:

turn 3/4 into a fraction that has a denominator of 8 3/4x2= 6/8

To get it to 9/8 you add x which is 3/8

so 3/8+6/8 is 9/8

x=3/8

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2 years ago

Https://www.linkedin.com/pulse/100-reasons-why-you-shouldnt-commit-sui cide-aaditya-thapa

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2 years ago

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Find the surface area of the surface given by the portion of the paraboloid z=3x2+3y2 that lies inside the cylinder x2+y2=4. (hi

natta225 [31]

Parameterize the part of the paraboloid within the cylinder - I'll call it $S$ - by

$\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\left\langle u\cos v,u\sin v,3u^2\right\rangle$

with $0\le u\le2$ and $0\le v\le2\pi$ . The region's area is given by the surface integral

$\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=2}\int_{v=0}^{v=2\pi}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv$
$=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du\,\mathrm dv$
$=\displaystyle2\pi\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du$

Take $w=1+36u^2$ so that $\mathrm dw=72u\,\mathrm du$ , and the integral becomes

$=\displaystyle\frac{2\pi}{72}\int_{w=1}^{w=145}\sqrt w\,\mathrm dw$
$=\displaystyle\frac\pi{36}\frac23w^{3/2}\bigg|_{w=1}^{w=145}$
$=\dfrac\pi{54}(145^{3/2}-1)\approx101.522$

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2 years ago

Use the fact that 1 gallon = 4.5 L to change 8 gallons into L.

dedylja [7]

Final Answer :

36 L

Step-by-step explanation:

4.5 L × 8 gallons = 36

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3 years ago

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