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Luba_88 [7]
2 years ago
7

Solve the system of linear equations.

Mathematics
2 answers:
pishuonlain [190]2 years ago
7 0

Answer:

Point slope form of the equations:

y = -3x + 8

y = 2x - 2

Solution to the system of equations:

(x, y) ==> (2, 4)

Step-by-step explanation:

6x + 2y = 16

2x - y = 2

6x + 2y = 16

2(2x - y = 2)  ==> 4x - 2y = 4

6x + 2y = 16

4x - 2y = 4

10x = 20

/10     /10

x = 2

Now, we solve for y:

6x + 2y = 16

6(2) + 2y = 16

12 + 2y = 16

-12         -12

2y = 4

/2   /2

y = 2

(x, y) ==> (2, 2)

Point-slope forms:

6x + 2y = 16

-6x          -6x

2y = -6x + 16

/2        /2

y = -3x + 8

2x - y = 2

-2x      -2x

-1y = -2x + 2

/-1       -1

y = 2x - 2

Hope this helps!

White raven [17]2 years ago
5 0

Answer:

The simple answer, "Yes"

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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
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Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

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Factoring 72 into prime factors, we have that:

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1

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s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

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The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

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