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3 years ago

Solve the following equation |x – 3| = 4. Show all work.

Mathematics

2 answers:

Igoryamba3 years ago

8 0

<h2>Solving Equations with Absolute Values</h2><h3>Answer:</h3>

$x = 7$ and $x = -1$

<h3>Step-by-step explanation:</h3>

Solving for the Positive Absolute Value:

$|x -3| = 4 \\ x -3 = 4 \\ x -3 +3 = 4 +3 \\ x = 7$

Solving for the Negative Absolute Value:

$|x -3| = 4 \\ -(x -3) = 4 \\ -(x -3) \cdot -1 = 4 \cdot -1 \\ x -3 = -4 \\ x -3 +3 = -4 +3 \\ x = -1$

Solnce55 [7]3 years ago

8 0

Answer:

x=7, x=−1

Explaination

Find all solutions for x

by breaking the absolute value into the positive and negative components.

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Is the sum of the areas of two smaller squares equal to the area of a large square if the side lengths of the squares are 8 feet

Ivanshal [37]

No, the sum of the areas of two smaller squares is not equal to the

area of a large square

Step-by-step explanation:

To solve this problem let us do these steps

1. Find the area of the larger square

2. Find the area of the two smaller squares

3. Add the areas of the two smaller squares

4. Compare between the sum of the areas of the 2 smaller squares

and the area of the larger square

The area of a square is s²

The length of the side of the larger square is 8 feet

∵ s = 8 feet

∴ Area of the larger square = (8)² = 64 feet²

The lengths of the sides of the smaller squares are 5 feet and 3 feet

∵ s = 5 feet

∴ The area of one of the smaller square = (5)² = 25 feet²

∵ s = 3 feet

∴ The area of the other smaller square = (3)² = 9 feet²

The sum of the areas of the two smaller squares = 25 + 9 = 34 feet²

∵ The area of the larger square is 64 feet²

∵ The sum of the areas of the two smaller squares is 34 feet²

∵ 64 ≠ 34

∴ The sum of the areas of two smaller squares is not equal to the

area of a large square

<em>No, the sum of the areas of two smaller squares is not equal to the</em>

<em>area of a large square</em>

Learn more:

You can learn more about the areas of figures in brainly.com/question/3306327

#LearnwithBrainly

4 0

4 years ago

8 times the product of 5 and t

Zielflug [23.3K]

Product is another word for multiplication. so its 8 multiplied by 5 multiplied by 't'

8× 5(t)

4 0

3 years ago

|-4w+2|=14<br> the bars mean absolute value

Pie

Answer:

If you are looking for what w equals, the w would equal 3

Step-by-step explanation:

You would take the absolute value which is how far away a value is from zero.

So you would get 4w+2=14

Then you would bring the positive 2 to the other side making it negative

now we have 4w=14-2 which is the same as 4w=12

and then, you would divide 12 by 4 and then you would get 3

w=3

5 0

3 years ago

Read 2 more answers

Draw a Hasse diagram of the partial order << of the set {2,3,4,6,8,9,10,12} where a << b iff b is divisible by a.

Ray Of Light [21]

Step-by-step explanation:

Consider the provided set {2,3,4,6,8,9,10,12}

Let the set is A.

$A={(2 \prec 4), (2 \prec 6), (2 \prec 8), (2 \prec 10), (2 \prec 12), (3 \prec 6), (3 \prec 9), (4 \prec 8), (4 \prec 12), (6 \prec 12)}$

Hence the required Hasse diagram is shown in figure 1:

In the Hasse diagram 2 and 3 are on the same level as they are not related.

The next numbers are 4, 6, 9, and 10. 4, 6 and 10 are divisible by both 2. 6 and 9 are divisible by 3. Then 8 and 12 are divisible by 4 also 12 is divisible by 6.

Hence, the required diagram of the partial order of the set {2,3,4,6,8,9,10,12} is shown in figure 1.

8 0

3 years ago

A man has 8 pairs of pants, 12 shirts, 15 ties, and 6 sport coats. If he wears one of each, how many different outfits can he we

anzhelika [568]

41 outfits lolollolol

6 0

3 years ago