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Blababa [14]
3 years ago
11

Solve the following system by Gauss-Jordan elimination.

Mathematics
1 answer:
topjm [15]3 years ago
4 0

9514 1404 393

Answer:

  x1 = 1/2 + 1/2t

  x2 = 4 -2t

  x3 = t

Step-by-step explanation:

Your answer is correct as far as it goes. The values of x1 and x2 also need to be expressed in terms of t.

  x1 = 1/2 + 1/2t

  x2 = 4 -2t

  x3 = t

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The coordinates of the vertices of triangle cde are c (-3, 1), d (-1, 4) and e (-6, 4). a transformation applied to triangle cde
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Answer:

The coordinates of point s are (-3 , 3)

Step-by-step explanation:

* Lets revise some transformation

- If the point (x , y) translated horizontally to the right by h units

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- If the point (x , y) translated horizontally to the left by h units

 then the new point  = (x - h , y)

- If the point (x , y) translated vertically up by k units

 then the new point  = (x  , y + k)

- If the point (x , y) translated vertically down by k units

 then the new point  = (x  , y - k)

* Now lets solve the problem

∵ The vertices of triangle cde are c (-3 , 1) , d (-1 , 4) , e (-6 , 4)

∵ The new coordinates of two vertices are q (-1 , 6) , r (-6 , 6)

- The image of point d is q and the image of point e is r

∵ Point d = (-1 , 4) and point q = (-1 , 6)

∵ Point e = (-6 , 4) and point r = (-6 , 6)

- The x-coordinate has no change but the y-coordinate added by 2

∴ The triangle cde translated vertically up by 2 units to create the

  congruent triangle sqr

- Lets translate point c two units up to find the coordinates of point s

∵ Point c = (-3 , 1)

∴ Poin s = (-3 , 1 + 2) = -3 , 3)

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6 0
3 years ago
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trapecia [35]

Answer:

The top tree correctly represents the sample space

Step-by-step explanation:

At the "root" of our tree, we can either have three branches for each of the flavors, or two branches for each of the types of crust. Here's how each of those branches continue:

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  • If we start with the <em>two branches for crusts</em>, each branch will have <em>three more branches for the flavors</em>. This option is represented as the first tree in the image, and in this case would be the correct choice.
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