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kotegsom [21]
4 years ago
12

5x+20=70 solve for x

Mathematics
2 answers:
AnnyKZ [126]4 years ago
7 0
1st minus from 20. that cancels out. Then put it on the other side so it looks like 5x=70-20. simplify. 5x=50. next, divide by 5. 50/5=10. so x=10
Anarel [89]4 years ago
5 0
5x + 20 = 70
        5x = 70 - 20
        5x = 50
          x = 50/5
          x = 10

5(10) + 20 = 70
     50 + 20 = 70
              70 = 70

hope this helps :)


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aliya0001 [1]
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7. Da'Quan is reading a 532-page book for English. His teacher says that each student must have read at least half of the book b
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Read 2 more answers
Consider the following two ordered bases of R3:
grigory [225]

Answer:

Let A = (a_1, ..., a_n) and B = (b_1, ..., b_n) bases of V. The matrix of change from A to B is the matrix n×n whose columns are vectors columns of the coordinates of vectors b_1, ..., b_n at base A.

The, we case correspond to find the coordinates of vectors of C,

\{\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right], \left[\begin{array}{ccc}2\\0\\-1\end{array}\right], \left[\begin{array}{ccc}-3\\1\\2\end{array}\right]   \}

at base B.

1. We need to find a,b,c\in\mathbb{R} such that

\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]

Then we find these values solving the linear system

\left[\begin{array}{cccc}1&-2&2&2\\-1&2&-1&-1\\0&-1&1&-1\end{array}\right]

Using rows operation we obtain the echelon form of the matrix

\left[\begin{array}{cccc}1&-2&2&2\\0&-1&1&-1\\0&0&1&1\end{array}\right]

now we use backward substitution

c=1\\-b+c=-1,\; b=2\\a-2b+2c=2,\; a=4

Then the coordinate vector of \left[\begin{array}{ccc}2\\-1\\-1\end{array}\right] is \left[\begin{array}{ccc}4\\2\\1\end{array}\right]

2. We need to find a,b,c\in\mathbb{R} such that

\left[\begin{array}{ccc}2\\0\\-1\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]

Then we find these values solving the linear system

\left[\begin{array}{cccc}1&-2&2&2\\-1&2&-1&0\\0&-1&1&-1\end{array}\right]

Using rows operation we obtain the echelon form of the matrix

\left[\begin{array}{cccc}1&-2&2&2\\0&-1&1&-1\\0&0&1&2\end{array}\right]

now we use backward substitutionc=2\\-b+c=-1,\; b=3\\a-2b+2c=2,\; a=4

Then the coordinate vector of \left[\begin{array}{ccc}2\\0\\-1\end{array}\right] is \left[\begin{array}{ccc}4\\3\\2\end{array}\right]

3. We need to find a,b,c\in\mathbb{R} such that

\left[\begin{array}{ccc}-3\\1\\2\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]

Then we find these values solving the linear system

\left[\begin{array}{cccc}1&-2&2&-3\\-1&2&-1&1\\0&-1&1&2\end{array}\right]

Using rows operation we obtain the echelon form of the matrix

\left[\begin{array}{cccc}1&-2&2&-3\\0&-1&1&2\\0&0&1&-2\end{array}\right]

now we use backward substitutionc=-2\\-b+c=2,\; b=-4\\a-2b+2c=2,\; a=-2

Then the coordinate vector of \left[\begin{array}{ccc}-3\\1\\2\end{array}\right] is \left[\begin{array}{ccc}-2\\-4\\-2\end{array}\right]

Then the change of basis matrix from B to C is

\left[\begin{array}{ccc}4&4&-2\\2&3&-4\\1&2&-2\end{array}\right]

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Which of the following theorems verifies that DEF=XYZ? a)AA b) LL c) HA d)HL​
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is it AA..

I have no idea what to do how...

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