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Sholpan [36]
3 years ago
5

The length of a rectangle is 7 inches longer than it's width. The area of the rectangle is 260 square inches. What is the length

, in inches, of the rectangle?
Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

Answer:

The width cannot be negative, so w = 9, l = 16.

Step-by-step explanation:

w = the width

l = w +7

A = l · w

A= w ( w + 7 )

144 = w2 + 7w

0 = w2 + 7w - 144

0 = ( w - 9 )( w + 16 )

The width cannot be negative, so w = 9, l = 16.

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Suppose that surface σ is parameterized by r(u,v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x,y,z)=x2+y2+z2. Set up the sur
Bad White [126]

Looks like you have most of the details already, but you're missing one crucial piece.

\sigma is parameterized by

\vec r(u,v)=\langle u\cos3v,u\sin3v,v\rangle

for 0\le u\le7 and 0\le v\le\frac{2\pi}3, and a normal vector to this surface is

\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\left\langle\sin3v,-\cos3v,3u\right\rangle

with norm

\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{\sin^23v+(-\cos3v)^2+(3u)^2}=\sqrt{9u^2+1}

So the integral of f(x,y,z)=x^2+y^2+z^2 is

\displaystyle\iint_\sigma f(x,y,z)\,\mathrm dA=\boxed{\int_0^{2\pi/3}\int_0^7(u^2+v^2)\sqrt{9u^2+1}\,\mathrm du\,\mathrm dv}

6 0
3 years ago
Find the equation in terms of x of the line through the points (-4,-4) and (5,-5)
zhuklara [117]

Answer:

The answer to your question is:  y = -1/9 x - 40/9

Step-by-step explanation:

Data

A (-4 , -4)

B (5, -5)

Formula

m = (y2 - y1) / (x2 - x1)

y = mx + b

(y - y1) = m(x - x1=

Process

m = (-5 + 4) / (5 + 4)

m = -1 / 9

( y +4) = -1/9 (x + 4)

y + 4 = -1/9 x - 4/9

y = -1/9 x - 4/9 - 4

y = -1/9 x - 4/9 - 36/9

y = -1/9 x - 40/9

5 0
3 years ago
Pre Calculus Help! Will give Brainliest!
Sveta_85 [38]
It's a quotient identity
6 0
3 years ago
PLEASE HELP! Triangle inequality!! WILL GIVE BRAINLIEST
Nitella [24]
A is possible because the two other sides combined are longer then six therefore can reach each other to create a triangle. b is not possible because 4 is the same length of 3 and 1 combined therefore will not create a triangle shape. hope this is what u where looking for(:
6 0
3 years ago
Please help!! ;w; Thank you in advance!!!
Dovator [93]

10  5/6  =   65/6

2  1/4    =  9/4

2 (9/4)  =   9/2

So   the  length  left   is

65/6  -  9/2    =

65/6  -  27/6   =

38 / 6    =

19 / 3    =

6 1/3   in

sorry this was a late response

5 0
3 years ago
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