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3 years ago

I need the answers to number 3-8

Mathematics

1 answer:

Sedaia [141]3 years ago

3 0

Answer:

3) ab = ba

This is called Commutative property of Multiplication.

4) 5 (3x -2) = 5*(3x) - 5*(2) = 15x -10

This is called Distributive property.

5) 1/2 (4-2x) = 2 - 2x

Applying distributive property on left side

1/2(4) - 1/2 (2x) = 2- 2x

2-x ≠ 2 - 2x

The pair of equation is not equivalent.

6) 1/2 (6x -2) = 3 - x

Applying distributive property on left side

1/2 (6x) - 1/2 (2) = 3 - x

3x - 1 ≠ 3 - x

The pair of equation is not equivalent.

7) 32y +12y = 44y

8) 12+ 3x - x - 12 = 12-12+3x -x = 2x

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<h3>Vertex Form of a quadratic expression</h3>

Given the quadratic expressions

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Using the completing the square method

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Learn more on completing the square method here: brainly.com/question/1596209

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2 years ago

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3 years ago

A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures

Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9$

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}$

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3 years ago

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3 years ago

#7) Who is correct?

Kryger [21]

I think Faye is correct

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3 years ago