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RUDIKE [14]
3 years ago
10

9. 1/3(x+6) =8

Mathematics
2 answers:
babunello [35]3 years ago
8 0
9.       ¹/₃(x + 6) = 8
    ¹/₃(x) + ¹/₃(6) = 8
           ¹/₃x + 2 = 8
           <u>       - 2  - 2</u>
            3 · ¹/₃x = 6 · 3
                     x = 18

15.       ¹/₅(x + 10) = 6
      ¹/₅(x) + ¹/₅(10) = 6
                ¹/₅x + 2 = 6
                <u>       - 2  - 2</u>
                 5 · ¹/₅x = 4 · 5
                         x = 20

20.       ¹/₈(24x + 32) = 10
      ¹/₈(24x) + ¹/₈(32) = 10
                     3x + 4 = 10
                     <u>      - 4   - 4</u>
                           <u>3x</u> = <u>6</u>
                            3     3
                             x = 2

32.        5 - ¹/₂(x - 6) = 4
      5 - ¹/₂(x) - ¹/₂(-6) = 4
              5 - ¹/₂x + 3 = 4
              5 + 3 - ¹/₂x = 4
                    8 - ¹/₂x = 4
                 <u>- 8            - 8</u>
                -2 · (-¹/₂x) = -4 · (-2)
                             x = 8

33.      ²/₃(3x - 6) = 3
     ²/₃(3x) - ²/₃(6) = 3
                2x - 4 = 3
                <u>    + 4 + 4</u>
                     <u>2x</u> = <u>7</u>
                      2     2
                       x = 3¹/₂
Dafna1 [17]3 years ago
8 0
9.
х+6=8÷1/3
х+6=8×3/1
х+6=24
х=24-6
х=18

15.
х+10=6÷1/5
х+10=6×5/1
х+10=30
х=30-10
х=20

20.
24х+32=10÷1/8
24х+32=10×8/1
24х+32=80
24х=80-32
24х=48
х=48÷24
<span>х=2


</span>

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Equation for the line perpendicular to the line -6x-7y=-6 having the same y-intercept as 8x-5y=10
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Option b.

Step-by-step explanation:

We can easily solve this problem by using a graphing calculator or plotting tool.

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Please, see attached picture below.

By looking at the picture, we can tell that the amplitude is equal to 1

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r = -3</span>
6 0
3 years ago
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