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Marrrta [24]
2 years ago
8

I will give you brainliest! A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the p

oint come to rest?
Explain 2 other ways other than rotating 180 degrees counterclockwise or clockwise, that would allow the point to find it’s way to the same place from its original position. Hint: You may combine transformations.
Mathematics
1 answer:
Leviafan [203]2 years ago
7 0

180 degree rotation negates both coordinates, and takes a point from quadrant 2 to quadrant 4.

Answer: 4

We can also rotate 180 degrees clockwise, or 540 degrees counterclockwise and end up in the same place.

Combining transformations, we can reflect in the x axis and then in the y axis, also negating both coordinates so equivalent to 180 degree rotation.

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Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

  • if |a|> b then a>b or a<-b
  • if |a|< b then a<b or a>-b

So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

or 2x-3 ≤ -5

2x ≤-5 +3

2x ≤-2

x ≤ (-2)÷2

x ≤ -2

Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

6 0
3 years ago
HELP i will give brainliest<br> all questions ;(
Rama09 [41]

Answer:

<u>1. The theoretical probability of rolling an even number and flipping heads is 25%.</u>

<u>2. The experimental probability of rolling a 1 and flipping tails is 15%.</u>

<u>3. The experimental probability of flipping heads is 40%.</u>

<u>4. I think around 7%.</u>

<u>5. I would expect to roll 3 and land on heads 8 times.</u>

Step-by-step explanation:

I am not sure about number 4.

Have a nice day!

Ask me if you need my work. :-)

8 0
3 years ago
ten people are in a club and three are going to be on the “planning committee”. how many different groups of three people are po
Alchen [17]

Answer:

30

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
4x+7y=19<br>y=x+9 <br>substitution method​
Ugo [173]

Answer:

Point Form: (-4,5)

Equation Form: x=-4,y=5

Step-by-step explanation:

Please give me brainiest!!!

3 0
3 years ago
These figures are similar. The area of one is given. Find the area of the other. PLZ HELP
stellarik [79]

Answer:

12 in squared

Step-by-step explanation:

Since the side on the bigger figure is 6 and the smaller figure‘s side is 3, that means the smaller figure is half the size of the big figure.

So.. 24 divided by 2 is 12

6 0
2 years ago
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