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Ber [7]
3 years ago
8

Solve for N. 2[7-6(1-n)]+3n=-20+4[6(n+1)-3n]

Mathematics
1 answer:
jonny [76]3 years ago
3 0

Solving the expression 2[7-6(1-n)]+3n=-20+4[6(n+1)-3n] we get  n=\frac{2}{3}

Step-by-step explanation:

We need to solve the equation 2[7-6(1-n)]+3n=-20+4[6(n+1)-3n] and find value of n.

Solving:

2[7-6(1-n)]+3n=-20+4[6(n+1)-3n]

Multiplying the terms inside the bracket

2[7-6+6n]+3n=-20+4[6n+6-3n]

Simplifying:

2[1+6n]+3n=-20+4[6n-3n+6]

2[1+6n]+3n=-20+4[3n+6]

2+12n+3n=-20+12n+24

2+15n=12n+4

Adding -12n and -2 on both sides

15n-12n=4-2

3n=2

n=\frac{2}{3}

So, Solving the expression 2[7-6(1-n)]+3n=-20+4[6(n+1)-3n] we get  n=\frac{2}{3}

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

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Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}
kompoz [17]

Answer:

The ordered pair (-2,\, -4) is indeed a solution to the system:

\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right..

Step-by-step explanation:

Consider a system of equations about variables x and y. An ordered pair (x_{0},\, y_{0}) (where x_{0} and y_{0} are constant) is a solution to that system if and only if all equations in that system hold after substituting in x = x_{0} and y = y_{0}.

For the system in this question, (-2,\, -4) would be a solution only if both equations in the system hold after replacing all x in equations of the system with (-2) and all y with (-4).

The \texttt{LHS} of the equation y = (1/2)\, x - 3 would become (-4). The \texttt{RHS} of that equation would become (1/2) \, (-2) - 3. The two sides are indeed equal.

Similarly, the \texttt{LHS} of the equation y = -2\, x - 8 would become (-4). The \texttt{RHS} of that equation would become (-2)\, (-2) - 8. The two sides are indeed equal.

Thus, x = (-2) and y = (-4) simultaneously satisfy both equations of the given system. Therefore, the ordered pair (-2,\, -4) would indeed be a solution to that system.

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Using the Order of Operations, what is the solution to 2(4/2)2 - 15 + 6?
PIT_PIT [208]
<span>2(4/2)^2 - 15 + 6
= </span><span>2(2)^2 - 15 + 6
= </span><span>2(4) - 15 + 6
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6 0
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(pls help quick and explain how you got the answers for brainliest)
scoray [572]

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

7 0
3 years ago
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