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son4ous [18]
3 years ago
6

|–9.23 – 1.79| – |–7.34 – 2.57| (25 points)

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
6 0

Answer:

1.11

Step-by-step explanation:

galina1969 [7]3 years ago
5 0

Answer:

1.11

Step-by-step explanation:

First, you ignore the absolute value sign and subtract normally: –9.23 – 1.79 = -11.02, –7.34 – 2.57 = -9.91.  Then now you add the absolute value to the numbers: |-11.02| - |-9.91| = 11.02 - 9.91 = 1.11.

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The equation for a line is 4x -3y=24. What is the slope of the line?
eimsori [14]

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3 0
4 years ago
Read 2 more answers
Find the reduced row echelon form of the following matrices and then give the solution to the system that is represented by the
GaryK [48]

Answer:

a)

Reduced Row Echelon:

\left[\begin{array}{cccc}1&1/2&0&0\\0&1&7/4&0\\0&0&1&-4\end{array}\right]

Solution to the system:

x_3=-4\\x_2=-\frac{7}{4}x_3=7\\x_1=-\frac{1}{2}x_2=-\frac{7}{2}

b)

Reduced Row Echelon:

\left[\begin{array}{cccc}4&3&0&7\\0&0&2&-17\\0&0&2&-17\end{array}\right]

Solution to the system:  

x_3=-\frac{17}{2}\\x_1=\frac{7-3x_2}{4}

x_2 is a free variable, meaning that it has infinite possibilities and therefore the system has infinite number of solutions.

Step-by-step explanation:

To find the reduced row echelon form of the matrices, let's use the Gaussian-Jordan elimination process, which consists of taking the matrix and performing a series of row operations. For notation, R_i will be the transformed column, and r_i the unchanged one.

a) \left[\begin{array}{cccc}0&4&7&0\\2&1&0&0\\0&3&1&-4\end{array}\right]

Step by step operations:

1. Reorder the rows, interchange Row 1 with Row 2, then apply the next operations on the new rows:

R_1=\frac{1}{2}r_1\\R_2=\frac{1}{4}r_2

Resulting matrix:

\left[\begin{array}{cccc}1&1/2&0&0\\0&1&7/4&0\\0&3&1&-4\end{array}\right]

2. Set the first row to 1

R_3=-3r_2+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&1/2&0&0\\0&1&7/4&0\\0&0&1&-4\end{array}\right]

3. Write the system of equations:

x_1+\frac{1}{2}x_2=0\\x_2+\frac{7}{4}x_3=0\\x_3=-4

Now you have the  reduced row echelon matrix and can solve the equations, bottom to top, x_1 is column 1, x_2 column 2 and x_3 column 3:

x_3=-4\\x_2=-\frac{7}{4}x_3=7\\x_1=-\frac{1}{2}x_2=-\frac{7}{2}

b)

\left[\begin{array}{cccc}4&3&0&7\\8&6&2&-3\\4&3&2&-10\end{array}\right]

1. R_2=-2r_1+r_2\\R_3=-r_1+r_3

Resulting matrix:

\left[\begin{array}{cccc}4&3&0&7\\0&0&2&-17\\0&0&2&-17\end{array}\right]

2. Write the system of equations:

4x_1+3x_2=7\\2x_3=-17

Now you have the reduced row echelon matrix and can solve the equations, bottom to top, x_1 is column 1, x_2 column 2 and x_3 column 3:

x_3=-\frac{17}{2}\\x_1=\frac{7-3x_2}{4}

x_2 is a free variable, meaning that it has infinite possibilities and therefore the system has infinite number of solutions.

7 0
3 years ago
Savannah says that 1 kilogram is equivalent to 1000000 milligrams is savannah correct? Explain
Sergio [31]
Yes savannah is correct
Expiation 1 kg = 1000g
1 g = 1000 milligrams (mg)
So 1000g X 1000mg
= 1000000 is answer

7 0
3 years ago
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Mamont248 [21]
I think the answer is D good luck !!!!!!
3 0
3 years ago
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Please answer this<br><br> (I don’t know what else to put, it need 20 characters)
Vinvika [58]

Answer:

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Step-by-step explanation:

Triangle area formula is A = bh/2

A = 6*5/2

A = 30/2

A = 15

Best of Luck!

6 0
4 years ago
Read 2 more answers
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