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USPshnik [31]
3 years ago
6

Given two equations, MN = 20 and S=2-M+N Find the positive values of M and N . when S is minimum.​

Mathematics
2 answers:
Dima020 [189]3 years ago
8 0

The positive values of M and N are; 3.6 and 5.6 respectively.

<h3>Simultaneous equations</h3>

When S is minimum, s can be equated to 0.

On this note, it follows that the resulting equations are;

  • MN = 20
  • 0=2-M+N

From Substitution of M = 2 +N in the second equation; it follows that;

  • (2+N)N = 20

  • N² + 2N -20 = 0.

Hence, upon solving the quadratic equation;

  • N = 5.6 or N = -3.6

Therefore, the positive value of N is; 5.6 and hence,

  • M = 20/N = 20/5.6 = 3.6

Read more on simultaneous equations;

brainly.com/question/16863577

Doss [256]3 years ago
5 0

The positive values of M and N are; 3.6 and 5.6 respectively.

<h3>Simultaneous equations</h3>

When S is minimum, s can be equated to 0.

On this note, it follows that the resulting equations are;

  • MN = 20
  • 0=2-M+N

From Substitution of M = 2 +N in the second equation; it follows that;

  • (2+N)N = 20

  • N² + 2N -20 = 0.

Hence, upon solving the quadratic equation;

  • N = 5.6 or N = -3.6

Therefore, the positive value of N is; 5.6 and hence,

  • M = 20/N = 20/5.6 = 3.6

Read more on simultaneous equations;

brainly.com/question/16863577

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Answer:

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Step-by-step explanation:

Quadratic equation

x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}

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The discriminant can be positive, zero or negative which determines how roots exist for the given quadratic equation.

So, a positive discriminant tell us that the quadratic has two different real solutions.

A discriminant of zero tell us that the quadratic has two real and equal solutions.

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In this case: 25x^2-10x+1=0

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Answer:

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Step-by-step explanation:

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Solution :

We draw a rough image of the question for easier understanding.

Refer the attached figure below.

According to question,

Let AB be the height of mountain i.e. AB=1200 feet

The angle of depression is 21 i.e. \theta=21^\circ

We have to find how far does  John ski down the mountain i.e. AC = ?

Using trigonometric,

\cos\theta = \frac{AB}{AC}

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AC=\frac{1200}{\cos(21)}

AC=1285.37

Therefore, John ski down the mountain is 1285.37 feet.

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