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Liono4ka [1.6K]
3 years ago
12

3^6 over 3^? = 3^4 What is the missing value?

Mathematics
1 answer:
netineya [11]3 years ago
5 0
For the question mark, we can insert a variable considering it is an unknown number.

\frac{3^6}{3^x}  =  3^4 \\ \\ 3^{6-x} = 3^4 \ / \ use \ qotient \ rule \\ \\ 6 - x = 4 \ / \ cancel \ out \ 3 \\ \\ -x = 4 - 6 \ / \ subtract \ 6 \ from \ each \ side \\ \\ -x = -2 \ / \ simplify \\ \\ x = 2 \ / \ multiply \ each \ side \ by \ -1 \\ \\ Answer: \fbox {x = 2}
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Subtract these sets of matrix
IrinaK [193]
The procedure is to make the difference of the terms that occupy the same position (column and row):

| - 6    - 4 |      | - 5    5 |              | - 6 + 5      - 4 - 5 |          | -1      - 9 |
| 6        0 |  -   | - 4   -1 |     =       |   6 + 4       0 + 1 |    =    | 10        1 |
| 6        4 |      | 6    - 4 |              |   6 - 6        4 + 4 |          |  0         8 |

Answer: option B.

8 0
3 years ago
write the equation in slope intercept form of the line that passes through -1, 11 and is parallel to the graph of y = -8x + 3
lawyer [7]
<h2>Answer: The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ). </h2>

<h3 /><h3>Step-by-step explanation: </h3>

<u>Find the slope of the parallel line</u>

When two lines are parallel, they have the same slope.

                 ⇒  if the slope of this line = - 8

                      then the slope of the parallel line (m) = - 8

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                               ⇒  y - 11  =  - 8 (x - (-1))                                

                                ∴  y - 11  = - 8 (x + 1)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                      since   y - 11  = - 8 (x + 1)

                                        y  = - 8 x  + 3

The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).

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The word form for 2.35 is
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