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Virty [35]
3 years ago
6

What is the image of the point (-1,-2)after a rotation of 180∘

Mathematics
2 answers:
blsea [12.9K]3 years ago
7 0

Answer:

(1,2)

Step-by-step explanation:

igor_vitrenko [27]3 years ago
4 0

Answer:

The image of the point is (1, 2)

Step-by-step explanation:

  • If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
  • If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)
  • If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)

Let us use the rules above to solve the question

∵ The point (-1, -2) is rotated 180° counterclockwise about the origin

→ By using the 2nd rule above change the signs of x and y coordinates

∴ Its image is (1, 2)

∴ The image of the point is (1, 2)

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Rock-music sales represented 24.8% of the total music sales in 2000. By 2007, rock-music sales represented 32.4% of the total mu
baherus [9]

Answer:

Unit Rate of Change = 1.27%

Step-by-step explanation:

In 2000, t=1 and Total Music sales = 24.8%

In 2007, t=7 and Total Music sales = 32.4%

The Slope  m=\dfrac{32.4-24.8}{7-1} =\dfrac{7.6}{6}=1.27\%

The Unit Rate of Change is 1.27% and it means that the Total Music Sales Increased by approximately 1.27% every year.

8 0
3 years ago
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Question Progress
Alik [6]

Answer:

60 ; - 40 ; 22 ; - 11

Step-by-step explanation:

Given that:

Number of questions = 20

Rules :

Every correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0 points.

It is possible to finish the quiz with a negative score.

a)

Maximum score : answering all questions correctly :

(3 points * 20 questions)

= 3 * 20

= 60 points

b)

Minimum score is obtainable by answering all questions incorrectly ;

(-2 points * 20)

= - 40 points

c)

10 correct answers = (3 * 10) = 30 points

(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points

Net total = 30 + (-8) = 30 - 8 = 22 points

d) Another student answers 18 questions,

5 are correct. How many points does she score?

5 correct answers = (5 * 3) = 15 points

(18 - 5) incorrect answers = (13 * - 2) = - 26 points

Net total = 15 + (-26) = - 11 points

4 0
2 years ago
Select the point that is a solution to the system of inequalities​
ExtremeBDS [4]
<h3>Answer: B.  (-1, 0)</h3>

This point is below both the red diagonal line and the blue parabola. We know that the set of solution points is below both due to the "less than" parts of each inequality sign.  

In contrast, a point like (2,2) is above the parabola which is why it is not a solution. It does not make the inequality y \le x^2-3x true. So this is why we can rule choice A out.

Choice C is not a solution because (4,1) does not make y \le -x+3 true. This point is not below the red diagonal line. We can cross choice C off the list.

Choice D is similar to choice A, which is why we can rule it out as well.

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3 years ago
Use the graph to evaluate the function.<br> f(-5) =<br> y<br> -8 -6
DENIUS [597]

Answer:

-4

Step-by-step explanation:

Go to x value of -5 and go down until you touch line.

3 0
3 years ago
Which of the following is a solution of x^2+8x= -32
juin [17]

Answer:

X1=-4+4i

X2=-4-4i

Step-by-step explanation:

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X1=(-b-i√Δ) /2a=(-8-8i)/2=-4-4i

X2=(-b+i√Δ) /2a=(-8+8i)/2=-4+4i

3 0
3 years ago
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