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3 years ago

Of two numbers, one is 7 more than the other. Find the numbers if their sum is 21

2 answers:

5 0

Hi there! The smallest number is 7 and the largest number is 14.

Let the smallest number be represented by X.
The largest number is therefore equal to X + 7.

Now we can set up and solve an equation.
$x + x + 7 = 21$

Collect terms
$2x + 7 = 21$

Subtract 7 from both sides.
$2x = 14$

Divide both sides by 2.
$x = 14 \div 2 = 7$

Hence, the smallest number is 7 and the largest number is 7 + 7 = 14.

RideAnS [48]3 years ago

4 0

It would be 14 and 7.

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Answer:

Step-by-step explanation:

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3 years ago

Solve each. Show all necessary work.

LenaWriter [7]

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using y2 - y1 / x2 - x1

36 - 21 = 15

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I hope this helps!!

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3 years ago

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lara31 [8.8K]

Answer:

Step-by-step explanation:

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3 years ago

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CAN SOMEONE HELP ME IN THIS INTEGRAL QUESTION PLS

finlep [7]

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$\displaystyle2\pi\int_1^2x\sqrt{1+(y')^2}\,\mathrm dx=2\pi\int_1^2x\sqrt{1+4x^2}\,\mathrm dx=\frac{(17^{3/2}-5^{3/2})\pi}6$

But perhaps you'd like the surface integral treatment. Parameterize the surface by

$\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+u^2\,\vec k$

with $1\le u\le2$ and $0\le v\le2\pi$ , where the third component follows from

$z=x^2+y^2=(u\cos v)^2+(u\sin v)^2=u^2$

Take the normal vector to the surface to be

$\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial u}=-2u^2\cos v\,\vec\imath-2u^2\sin v\,\vec\jmath+u\,\vec k$

The precise order of the partial derivatives doesn't matter, because we're ultimately interested in the magnitude of the cross product:

$\left\|\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}\right\|=u\sqrt{1+4u^2}$

Then the area of the surface is

$\displaystyle\int_0^{2\pi}\int_1^2\left\|\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}\right\|\,\mathrm du\,\mathrm dv=\int_0^{2\pi}\int_1^2u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$

which reduces to the integral used in the surface-of-revolution setup.

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3 years ago

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professor190 [17]

Answer:

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Step-by-step explanation:

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