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valina [46]
3 years ago
11

Which expression has a value of 6?

Mathematics
2 answers:
AlekseyPX3 years ago
8 0

Answer:

Option 4

Step-by-step explanation:

The answer is option 4 because whenever a number is enclosed in those two lines that come in the left and right sides it means absolute value and absolute value makes the number positive regardless of the sign that it has, so in this case you have the negative but the absolute value makes it positive since it has the absolute value lines.

Murljashka [212]3 years ago
5 0
Option 4 whenever you see “| |” remember to look for the opposite of what’s in those lines for example:

|-3| the opposite would be positive 3!
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on
inysia [295]

Answer: F=15N


Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

F=ka

Where F is the force acting on the object, a is the object's acceleration and k is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting F=18 and a=6 into the equation and solving for k:

18=k6\\k=\frac{18}{6}\\k=3

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

F=3(5)\\F=15

3. The result is:

F=15N

7 0
3 years ago
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vlada-n [284]

Answer:

7. B 8. C 9. C

Step-by-step explanation:

7. y is greater than because the area above the line is shaded and since the line is dashed there it's not greater than or equal to.

8. C provides the correct y values for all of the x values.

9. The point (6, 3) produces -3 ≥ -8 which is the only one that is correct out of all the points provided.

8 0
2 years ago
Cary is 4 years older than Dan. In 7 years the sum of their ages will be 76
bekas [8.4K]

Ages of Dan and Cary are 29 and 33 respectively.

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

Step 1:

Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.

In 7 years, sum of their ages = 76

⇒ (x + 7) + (x + 4 + 7) = 76

⇒ 2x + 18 = 76

⇒ 2x = 58

⇒ x = 29

Step 2:

Calculate age of Cary.

⇒ x + 4 = 33

3 0
3 years ago
The value of y varies directly with x, and y=10 when x=4. Find x when y=14.
damaskus [11]
y=10\ \ \ and\ \ \ x=4\\\\&#10;y=14\ \ \ and\ \ \ x=?\\\\&#10;Making\ ratio:\\&#10;10-4\\14-x\\\\&#10;Cross\ multiplication:\\&#10;10x=4*14\\&#10;10x=56\ \ \ |Divide\ by\ 10\\x=5,6\\\\solution\ is\ x=5,6.
5 0
3 years ago
Can you help me please
notsponge [240]

9514 1404 393

Answer:

  1. reflection across the origin
  2. rotation 180° about the origin
  3. reflection across the x-axis, and translation right 6 units

Step-by-step explanation:

The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:

  1. reflection across the origin

  2. rotation 180° about the origin

  3. reflection across both x- and y-axes, in either order

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The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...

  4. reflection across the x-axis and translation 6 units right, in either order

8 0
3 years ago
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