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Nezavi [6.7K]
3 years ago
9

You can use the decimal number_____or the fraction_____as an approximation for pi.

Mathematics
2 answers:
erastova [34]3 years ago
7 0
Decimal: 3.14

Fraction: 22/7
Elza [17]3 years ago
5 0
Decimal is 3.14 fraction is 22/7! Hope helps sorry a little late
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Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2
evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}

Step # 1 : Swap the first and second matrix rows,

\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}

Step # 2 : Cancel leading coefficient in row 2 through R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1,

\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0
3 years ago
Four times the greater of two consecutive integers is 18 more than three times the lesser integer. What are the integers?
maw [93]
This is how I would solve it:

1st # = x                 4(x+1)=3x+18
2nd # = x+1              4x+4=3x+18
                                     4x=3x+14
                                       x=14

To check: 15x4=60; 60-42=18.       <u>1st # = 14; 2nd # = 15.</u>
5 0
3 years ago
Reduce -34/87 to lowest terms.
scoray [572]

I think it is already reduced.

How you a doin?

3 0
3 years ago
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PLZZZZ HEEEEEEELLLPPP MEEEEE!
lesantik [10]

Answer:

144 it is D

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
-7 + (-9) - (-11) -2
Tju [1.3M]
The answer is -7, please give brainliest.
3 0
3 years ago
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