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MariettaO [177]
3 years ago
7

Please help Factor completely. Show your work (as much work as possible, including a ​list of factors if

Mathematics
2 answers:
defon3 years ago
6 0

Answer:

1. x =0; x = -7

2. x = -3; x = 10

3. x = -5; x = -4

Step-by-step explanation:

(1). 6x² + 42x = 0

6x (x + 7) = 0

6x = 0. OR. x + 7 = 0

x = 0/6. x = 0 - 7

x = 0. x = -7

x = 0

x = -7

(2). x² - 7x - 30 = 0

The factors here are (3, -10)

x² - 10x + 3x - 30 = 0

x ( x - 10) + 3 ( x - 10) = 0

(x + 3) ( x - 10) = 0

x + 3 = 0 OR. x - 10 = 0

x = 0-3. x = 0 + 10

x = -3. x = 10

x = -3

x = 10

(3). x² + 9x + 20 = 0

The factors are ( 4, 5)

x² + 4x + 5x + 20 = 0

x ( x + 4) + 5 ( x + 4) = 0

(x + 5) (x + 4) = 0

x + 5 = 0 . OR. x + 4 = 0

x = 0-5. x = 0 - 4

x = -5. x = -4

x = -5

x = -4

liq [111]3 years ago
5 0

Answer:

Step-by-step explanation:

1) 6x² + 42x

6x is common to both terms. Therefore, it becomes

6x(x + 7)

2) x² - 7x - 30

We would find two numbers such that their sum or difference is -7x and their product is - 30x².

The two numbers are 3x and -10x. It becomes

x² + 3x - 10x - 30

x(x + 3) - 10(x + 3)

(x + 3)(x - 10)

3) x² + 9x + 20

We would find two numbers such that their sum or difference is 9x and their product is 20x².

The two numbers are 4x and 5x. It becomes

x² + 4x + 5x + 20

x(x + 4) + 5(x + 4)

(x + 4)(x + 5)

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ivann1987 [24]

Answer:

2x+9=12x-21

-2.      -2

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30=10x

Divide by 10 on both sides

30/10

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Step-by-step explanation:

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3 years ago
The speed of a ship is given by d3, where d is the distance the ship travels in 3 hours. if the ship travels 48 miles in 3 hours
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Hello there! Thank you for asking your question here at Brainly! I will be assisting you today with answering this problem, and will teach you how to handle it on your own in the future.

First, let's take a look at our problem.
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To solve for this, we need to understand the formula for speed.
The formula for speed is:
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Now that we have our formula, let's define our variables.

So, we have our distance, 48 miles, and our time, 3 hours.
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Your final equation is:
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The length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to \dfrac{5\pi}{3} is 10.5ft.

<h3>What is the length of the arc of a circle?</h3>

The length of the arc of a circle is equal to the product of the circumference of the circle and the ratio of the angle made by the arc of the circle to 2π. It is given by the formula,

\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}

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Learn more about the Length of the Arc of a Circle:

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