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Reika [66]
3 years ago
6

Which Is A Correct First Step For Solving This Equation? -5(4x-7)+8=3x

Mathematics
1 answer:
nordsb [41]3 years ago
5 0

I'm not sure if this is a multiple choice question, so I will just solve the equation.

-5 (4x - 7) + 8 = 3x

-5 (4x + (-7)) + 8 = 3x

1. Distributive Property of Multiplication

(-5)(4x) + (-5)(-7) + 8 = 3x

2. Simplify

-20x + (-35) + 8 = 3x

3. Simplify again

-20x - 27 = 3x

4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side

-20x - 27 + 27 = 3x + 27

-20x - 3x = 3x + 27 - 3x

5. Simplify

-23x = 27

6. Divide

-23x / -23 = 27 / -23

7. Simplify

Answer:

<h2>x = - 27/23 ≈ -1.17</h2>

Hope this helps!

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Question 4
The magnitude;
Using Pythagoras theorem,
 (-200)² + (-530)² = 320900
                 Length = √320900
                              =  566.5 mi
To get the angle
Tan θ = opposite/adjacent
          = 200/530
          =  0.3774
       θ = tan^-1 (0.3774)
          =  20.67
          ≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
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Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
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