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allochka39001 [22]
4 years ago
9

Why do you flip the inequality sign when dividing by a negative number?

Mathematics
1 answer:
ohaa [14]4 years ago
4 0
Assume x is 100.

-x<1
-100 is smaller than 1.

Dividing by -1,
x>-1
100 is greater than -1
If the inequality is not changed,
100<-1
100 is less than -1 which is not true
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How do you solve x/3&gt;-1
Goryan [66]

x/3>-1

Isolate the x. Multiply 3 to both sides

(x/3)3 > -1(3)

x > -1(3)

x > -3

x > -3 is your answer

hope this helps

7 0
3 years ago
The distance between the goals on a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.What
Korvikt [17]

Answer:

41.02 meters.

Step-by-step explanation:

See the attached diagram.

The distance between the goals of a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.

If the distance from the front of the box at one end of the field to the front of the box at the other end of the field is x meters, then we can write the equation as

5.49 + x + 5.49 = 52

⇒ x + 10.98 = 52

⇒ x = 41.02 meters. (Answer)

7 0
4 years ago
___x 18 = 54?
DaniilM [7]

Answer:

1. 3 x 18 = 54

2. 2 x 15 = 30

Step-by-step explanation:

To find out the answers.

For the first question, divide 54 by 18 to find the answer.

For the second one, divide 30 by 15 to find the answer.

54 ÷ 18 = 3

30 ÷ 15 = 2

6 0
3 years ago
Line segment KL is tangent to circle J at point K.
galina1969 [7]

Answer:

The radius is of length 12.

Step-by-step explanation:

A line that is tangent to a circle forms a right angle with the radius and the point of tangency. If you look closely at the diagram, you can see that a right triangle has been formed, with leg lengths r and 16 and a hypotenuse of length r + 8. Therefore, we can use the Pythagorean Theorem to find the length of the radius. I have done out the work in the attached file.

Hope this helps!

5 0
2 years ago
Read 2 more answers
A bird starts from the ground, flies at a certain speed for 5 seconds, and lands on a tree branch. The vector representing its
andre [41]

Answer:

  (8, 20)

Step-by-step explanation:

The bird traveled (4, 10) in addition to the (4, 10) it had already traveled, so its final position vector is ...

  (4, 10) + (4, 10) = (8, 20)

5 0
3 years ago
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