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Katena32 [7]
3 years ago
9

Study the equation. x² + 6x = - 4

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

x = -3+√5,  -3-√5 (exact roots)

or  x = -0.76, -5.24   to the nearest hundredth.

Step-by-step explanation:

x² + 6x = - 4

Completing the square:

(x + 3)^2 - 9 = -4

(x + 3)^2 = 5

x + 3 = +/-√5

x = - 3 + √5, - 3 - √5

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The tail of a Boeing 747 is 63 feet 8 inches tall. how many inches tall is the tail?
seraphim [82]
<em>764 in. </em>

<u>Here's why: </u>
There are 12 inches in a foot. 
12*63=756
<em>Don't forget to add the extra 8 inches!</em>
756+8=764
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3 years ago
Coordinates of a Pre-image
Tanya [424]

Answer:

The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.

Step-by-step explanation:

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3 years ago
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HELP!!<br> can someone lease help me with #11 and #12
Fiesta28 [93]

11. The two angles are vertical angles, which mean they are equal to each other.

14x - 5 = 13x

Add 5 to both sides:

14x = 13x + 5

Subtract 13x from both sides:

x = 5

12.  The two angles are supplementary and when added together need to equal 180 degrees.

5x -20 + 3x = 180

Combine like terms:

8x -20 = 180

Add 20 to both sides:

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Divide both sides by 8:

x = 200 /8

x = 25

5 0
3 years ago
Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

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bearhunter [10]

Answer:

$1.25

Step-by-step explanation:

$2.50 / 2 = $1.25 per liter

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3 years ago
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