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kkurt [141]
4 years ago
14

Find the sum of (6d+5)-(2-3d)

Mathematics
1 answer:
Andrew [12]4 years ago
5 0

Note the subtraction sign. Distribute the negative sign to all terms within the second equation.


6d + 5 - 2 +3d


Combine like terms


6d + 3d + 5 - 2


9d + 3


9d + 3 is your answer


Hope this helps

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Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged
ivanzaharov [21]
The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.

A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.

The dimensions of the original photo is 6 x 6.
7 0
3 years ago
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2 years ago
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Elanso [62]

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3 years ago
find an equation of the tangent plane to the given parametric surface at the specified point. x = u v, y = 2u2, z = u − v; (2, 2
Alexxandr [17]

The surface is parameterized by

\vec s(u,v) = x(u, v) \, \vec\imath + y(u, v) \, \vec\jmath + z(u, v)) \, \vec k

and the normal to the surface is given by the cross product of the partial derivatives of \vec s :

\vec n = \dfrac{\partial \vec s}{\partial u} \times \dfrac{\partial \vec s}{\partial v}

It looks like you're given

\begin{cases}x(u, v) = u + v\\y(u, v) = 2u^2\\z(u, v) = u - v\end{cases}

Then the normal vector is

\vec n = \left(\vec\imath + 4u \, \vec\jmath + \vec k\right) \times \left(\vec \imath - \vec k\right) = -4u\,\vec\imath + 2 \,\vec\jmath - 4u\,\vec k

Now, the point (2, 2, 0) corresponds to u and v such that

\begin{cases}u + v = 2\\2u^2 = 2\\u - v = 0\end{cases}

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\vec n = -4\,\vec\imath+2\,\vec\jmath-4\,\vec k

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\left(-4\,\vec\imath + 2\,\vec\jmath - 4\,\vec k\right) \cdot \left((x-2)\,\vec\imath + (y-2)\,\vec\jmath +  (z-0)\,\vec k\right) = 0

-4(x-2) + 2(y-2) - 4z = 0

\boxed{2x - y + 2z = 2}

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2 years ago
A rectangular garden has an area of 144ft. If the base is 8ft long, what is the height ?
Alekssandra [29.7K]
A. 18
Formula for area is LxW.
Divide 144 by 8 and you get 18.
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