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beks73 [17]
3 years ago
11

How do you know when ratios are equivalent and when they are not equivalent

Mathematics
1 answer:
White raven [17]3 years ago
7 0
Ratios are equivalent when that can be reduced or multiplied to be the same number.
Ex) 1:4 is the same as 2:8 or 4:16
10:20 is the same as 8:16 or 1:2

They are not equivalent if you can’t do this
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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
3 equivalent ratios for 5/7
riadik2000 [5.3K]

Answer:

10/14, 15/21, and 20,28

Step-by-step explanation:

You just need to multiply a number on the numerator and the denominator. Remember, whatever you do to the numerator you have to do on your denominator.


8 0
3 years ago
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Lelechka [254]

Answer:

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Step-by-step explanation:

Given:  0.95 = log x,

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which in turn is equivalent to x = 10            whose value is  8.91

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(-2, 2) (8,2) (8, -2) (-2, -2)

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