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Aloiza [94]
4 years ago
11

Find the solution to the system of equations given below using linear combinations.

Mathematics
1 answer:
motikmotik4 years ago
4 0

Answer: option c is the correct answer.

Step-by-step explanation:

The given system of equations is expressed as

5x + 2y = - 38 - - - - - - - - - - -1

6x + 10y = - 19 - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 6 and equation 2 by 5. It becomes

30x + 12y = - 228

30x + 50y = - 95

Subtracting, it becomes

- 38y = - 133

Dividing the left hand side and the right hand side of the equation by - 38, it becomes

y = - 133/-38 = 3.5

Substituting y = 3.5 into equation 1, it becomes

5x + 2 × 3.5 = - 38

5x + 7 = - 38

5x = - 38 - 7 = - 45

Dividing the left hand side and the right hand side of the equation by 5, it becomes

x = - 45/5 = - 9

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kondaur [170]

n / 82 is your answer

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Choose the expression that represents a cubic expression.
Anna007 [38]

Answer:

10x³ - 6x² - 9x + 12 is a cubic expression ⇒ 2nd

6x + 6 is a linear expression ⇒ 1st

5x² + 9x - 1 is a quadratic expression ⇒ 2nd

Quadratic expression ⇒ 1st

Step-by-step explanation:

* Lets explain the degree of any expression

- The degree of any expression is the greatest power of the variable

- Ex:

# 3x - 3 is a first degree expression

# x² - 3x + 2  is a second degree expression

# 5x³ - 2x² + 5x - 2 is a third degree expression

- The first degree expression is called linear expression

- The second degree expression is called quadratic expression

- The third degree expression is called cubic expression

* Lets solve the problem

∵ The cubic expression is the expression with greatest power of 3

∴ 10x³ - 6x² - 9x + 12 is the cubic expression

∵ The linear expression is the expression with greatest power of 1

∴ 6x + 6 is a linear expression

∵ The quadratic expression is the expression with greatest power of 2

∴ 5x² + 9x - 1 is a quadratic expression

∵ The expression is -2x² + 11

∵ The greatest power of x is 2

∴ -2x² + 11 is a quadratic expression

3 0
3 years ago
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I need help with this if you get it right I will mark you
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Answer:

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Step-by-step explanation:

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What is the approximate length of the apothem? 0. 4 cm 0. 8 cm 1. 5 cm 1. 9 cm.
arsen [322]

The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm

<h3>What is apothem?</h3>

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Let a represent the length of the apothem. Hence half of the side = 18/2 = 9 cm.

Using Pythagoras:

18² = a² + 9²

The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm

Find out more on apothem at: brainly.com/question/369332

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2 years ago
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Fantom [35]

Answer:

Step-by-step explanation:

slope-intercept equation for line of slope -5/2 and y-intercept -2:

y = (-5/2)x-2

put into standard form:

(5/2)x + y = -2

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