Hey!
In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.
<em>Original Equation :</em>
![\frac{-3}{v} = -6](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3%7D%7Bv%7D%20%3D%20-6)
<em>New Equation {Added Multiply Both Sides by V} :</em>
![\frac{-3}{v} v=-6v](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3%7D%7Bv%7D%20v%3D-6v)
<em>Solution {New Equation Solved} :</em>
![-3 = -6v](https://tex.z-dn.net/?f=-3%20%3D%20-6v)
Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.
<em>Old Equation :</em>
![-3 = -6v](https://tex.z-dn.net/?f=-3%20%3D%20-6v)
<em>New Equation {Switched} :</em>
![-6v=-3](https://tex.z-dn.net/?f=-6v%3D-3)
Now we'll divide both sides by v to get v on its own.
<em>Old Equation :</em>
![-6v = -3](https://tex.z-dn.net/?f=-6v%20%3D%20-3)
<em>New Equation {Added Divide Both Sides by V} :</em>
![\frac{-6v}{v} = \frac{-3}{v}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-6v%7D%7Bv%7D%20%3D%20%5Cfrac%7B-3%7D%7Bv%7D%20)
<em>Solution {New Equation Solved} :</em>
![v = \frac{1}{2}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
<em>So, this means that in the equation
![\frac{-3}{v} =-6](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3%7D%7Bv%7D%20%3D-6)
,</em>
![v = \frac{1}{2}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
.
Hope this helps!
- Lindsey Frazier ♥
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▹ Answer
<em>q = 16</em>
▹ Step-by-Step Explanation
3(q - 7) = 27
3q - 21 = 27
Add 21 to both sides:
21 + 21 = na
27 + 21 = 48
3q = 48
Divide both sides by 3:
3/3 = q
48/3 = 16
q = 16
Hope this helps!
CloutAnswers ❁
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Answer:
D. 158.4 km²
Step-by-step explanation:
Area of sector = θ/360 * πr²
Where,
θ = 150°
r = 11 km
Substitute
Area = 150/360 * π * 11²
Area = 158.38863 ≈ 158.4 km² (nearest tenth)
Answer:
The answer to your question is 55 ft
Step-by-step explanation:
Data
Person's height = 5 ft
Person's shadow = 10 ft
Tree's height = ?
Tree's shadow = 110 ft
- Use the Thales' theorem to solve this problem
Person's height / Person's shadow = Tree's height / Tree's shadow
- Substitution
5 / 10 = x / 110
-Solve for x
x = 5 (110) / 10
-Simplification
x = 550 / 10
-Result
x = 55 ft
-Conclusion
The tree is 55 ft height