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1 year ago

Topic: Absolute Value Equations and Inequalities

Mathematics

1 answer:

jolli1 [7]1 year ago

4 0

The values of x are -22 and -2 and there are not extraneous solutions

<h3>How to solve the equation?</h3>

The equation is given as:

2|x + 7|= x - 8

Expand the absolute bracket

|2x + 14|= x - 8

Remove the absolute bracket

2x + 14 = x - 8 and 2x + 14 = -x + 8

Evaluate the like terms

x = -22 and 3x = -6

This gives

x = -22 and x = -2

Hence, the values of x are -22 and -2 and there are not extraneous solutions

Read more about absolute value expressions at:

brainly.com/question/24368848

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What is the value of x? A.39 B.41 C.26 D.17

mojhsa [17]

Answer:

The answer is B.

Step-by-step explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

${c}^{2} = {a}^{2} + {b}^{2}$

Let a = 40,

Let b = 9,

${c}^{2} = {40}^{2} + {9}^{2}$

${c}^{2} = 1600 + 81$

${c}^{2} = 1681$

$c = \sqrt{1681}$

$c = 41 \: units$

*Take note, hypotenuse will always be the longest length among the 3 lengths.

*Pythogorean Theorem can only applied in a right-angle triangle.

3 0

2 years ago

The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle in inches? A. 4 inches B. 10

alekssr [168]

Answer:

A. 4 inches

Step-by-step explanation:

Applying,

P = 2(L+W)............. Equation 1

Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.

make W the subject of the equation

W = (P/2)-L............ Equation 2

From the question,

Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches

Substitute these values into equation 2

W = (32/2)-12

W = 16-12

W = 4 inches.

Hence the right option is A.

6 0

3 years ago

Please answer the whole page .

baherus [9]

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4. Brandi has 20 shirts and 10 pants in her closet. The ratio of shirts to pants is 20:10 or 20 to 10.

5. Brandi has 12 boys in her class and 13 girls. The ratio of boys to girls is 12:13 or 12 to 13

Hope this helps:)

7 0

3 years ago

What's 1/2 divided by 3? Your answer should be written as a fraction.

Agata [3.3K]

Your answer should be 1/6 because you are dividing thing by the number.

8 0

2 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

kobusy [5.1K]

Answer:

3 and 7

2 and 6

4 and 8

1 and 8

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers