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Art [367]
3 years ago
5

If 1/6x+2/3y=8 what is the value of 2x+8y

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
7 0

Answer: 96

Step-by-step explanation:

Simply multiply the first question by 12 to get 2x+8y=96

<em>Hope it helps <3</em>

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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno
makkiz [27]

Step-by-step explanation:

Hey, there!!

Here, one point is A(10,8) and P(8,5) is the midpoint.

Let B(x,y) be the another end point.

Now,

Using midpoint formulae,

p(x.y) =  \frac{x1 + x2}{2} . \frac{y1 + y2}{2}

p(8.5) = ( \frac{10 + x}{2} . \frac{8 + y}{2} )

Since they are equal,equating with their corresponding elements we get,

8 =  \frac{10 + x}{2}

or, 16 = 10 + x

or, x=16-10

Therefore, x = 6

Now,

5 =  \frac{8 + y}{2}

or, 10 = 8 + y

or, y = 2

Therefore, The coordinates of another point are B(6,2)

<em><u>Hope it helps</u></em><em><u> </u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
Zeke had 10 marbles in the beginning of the game and he had 7 at the end of the game. What was the percent loss?
zloy xaker [14]
The answer is 30%. It would be like 70% is what you have left of the 100.
3 0
3 years ago
Surface integrals using an explicit description. Evaluate the surface integral \iint_{S}^{}f(x,y,z)dS using an explicit represen
Jobisdone [24]

Parameterize S by the vector function

\vec r(x,y)=x\,\vec\imath+y\,\vec\jmath+f(x,y)\,\vec k

so that the normal vector to S is given by

\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=\left(\vec\imath+\dfrac{\partial f}{\partial x}\,\vec k\right)\times\left(\vec\jmath+\dfrac{\partial f}{\partial y}\,\vec k\right)=-\dfrac{\partial f}{\partial x}\vec\imath-\dfrac{\partial f}{\partial y}\vec\jmath+\vec k

with magnitude

\left\|\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}\right\|=\sqrt{\left(\dfrac{\partial f}{\partial x}\right)^2+\left(\dfrac{\partial f}{\partial y}\right)^2+1}

In this case, the normal vector is

\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=-\dfrac{\partial(8-x-2y)}{\partial x}\,\vec\imath-\dfrac{\partial(8-x-2y)}{\partial y}\,\vec\jmath+\vec k=\vec\imath+2\,\vec\jmath+\vec k

with magnitude \sqrt{1^2+2^2+1^2}=\sqrt6. The integral of f(x,y,z)=e^z over S is then

\displaystyle\iint_Se^z\,\mathrm d\Sigma=\sqrt6\iint_Te^{8-x-2y}\,\mathrm dy\,\mathrm dx

where T is the region in the x,y plane over which S is defined. In this case, it's the triangle in the plane z=0 which we can capture with 0\le x\le8 and 0\le y\le\frac{8-x}2, so that we have

\displaystyle\sqrt6\iint_Te^{8-x-2y}\,\mathrm dx\,\mathrm dy=\sqrt6\int_0^8\int_0^{(8-x)/2}e^{8-x-2y}\,\mathrm dy\,\mathrm dx=\boxed{\sqrt{\frac32}(e^8-9)}

5 0
3 years ago
All 14 members of the high school swim team borrowed $8 each from their coach to purchase dinner while at an away meet. Write a
sladkih [1.3K]

Answer:

14 * 8 = money given out

Step-by-step explanation:

#of people given money * (times) amount per person.

6 0
3 years ago
What is the completely factored form of x^4y-4x^2y-5y
AnnZ [28]

Answer:

y(x^2+1)(x^2-5)

Step-by-step explanation:

Factor the expression by first finding a GCF. Each term has the y variable and this can be pulled out as the GCF.

x^4y-4x^2y-5y\\y(x^4-4x^2-5)

To further factor the expression break the polynomial into two binomials.

To factor into two binomials, find factors that multiply to -5 and add to -4.

-5 and 1 are factors and these make the binomials (x^2+1)(x^2-5).

The final factorization is y(x^2+1)(x^2-5)

3 0
3 years ago
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