MATHEMATICS MIDDLE SCHOOL

Point (2, -4) is reflected across the x-axis. What are
the coordinates of its image?

Answers

Answer 1
Answer:

The coordinates of the image of point (2 , -4) after reflection across

the x-axis is (2 , 4)

Step-by-step explanation:

Let us revise the reflection of a point

1. If point (x , y) reflected across the x-axis, then its image is (x , -y)

2. If point (x , y) reflected across the y-axis, then its image is (-x , y)

3. If point (x , y) reflected across the line y = x, then its image is (y , x)

4. If point (x , y) reflected across the line y = -x, then its image is (-y , -x)

∵ Point (2, -4) is reflected across the x-axis

∵ Point (x , y) reflected across the x-axis, then its image is (x , -y)

- Chang the sign of the y-coordinate of the point to find its image

∵ The y-coordinate of the point is -4

∴ The y-coordinate of the image is 4

∴ The image of the point (2 , -4) is (2 , 4) after reflection across the

   x-axis

The coordinates of the image of point (2 , -4) after reflection across

the x-axis is (2 , 4)

Learn more:

You can learn more about reflection in brainly.com/question/5017530

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Answers

Answer:

Step-by-step explanation:

Part A you would divide the bar diagram into ten squares then go 2,4,6,8,10,12,14,16,18,20,. part b there will be 20 dollars in the account

What set of reflections and rotations would carry rectangle ABCD onto itself? Rectangle formed by ordered pairs A at negative 4, 1, B at negative 4, 2, C at negative 1, 2, D at negative 1, 1. (4 points) Reflect over the y-axis, reflect over the x-axis, rotate 180°
Rotate 180°, reflect over the x-axis, reflect over the line y=x
Reflect over the x-axis, rotate 180°, reflect over the x-axis
Rotate 180°, reflect over the y-axis, reflect over the line y=x

Answers

Answer:  The correct option is

(A) Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Step-by-step explanation:  Given that the co-ordinates of the vertices of rectangle ABCD are A(-4, 1), B(-4, 2), C(-1, 2) and D(-1, 1).

We are to select the set of reflections and rotations that would carry rectangle ABCD onto itself.

We see that if a point (x, y) is first reflected across Y-axis, its co-ordinates becomes

(x, y)   ⇒    (-x, y).

Now, if the new point is reflected across X-axis, then its co-ordinates becomes

(-x, y)  ⇒  (-x, -y)

and finally if we rotate the point by 180 degrees, its co-ordinates becomes

(-x, -y)  ⇒  (x, y).

That is, after these three transformations, each of the vertex of rectangle ABCD, that is, A(-4, 1), B(-4, 2), C(-1, 2) and D(-1, 1) come back to its original position.

Thus, the required set of reflections and rotations would carry rectangle ABCD onto itself is

Reflect over the y-axis, reflect over the x-axis, rotate 180°

Option (A) is CORRECT.

Answer:

A.

Step-by-step explanation:

Reflect in the y-axis.

this takes it to the first quadrant.

Reflect in the  x-axis.

To the fourth quadrant

Rotate through through 180 degrees.

Back to its original location.

Freddy bought a pair of shoes for a sale price of $39.60. The sales-tax rate was 8%.A. What was the sales tax on the purchase
B. What was the total price including tax

Answers

percent means parts out of 100
8%=8/100=0.05

tax=8% of 39.60=0.08 times 39.60=3.168 rounded to $3.17
A. tax is $3.17
B.. total just add, 39.60+3.17=$42.77


A. $3.17
B. $42.77
the answer to part A is $3.17
the answer to part B is $42.77

The school purchased baseball equipment and uniforms for a total cost of $1,836. The equipment cost $612, and the uniforms were $25.50 each. How many uniforms did the school purchase?

Answers

$1,836 minus the $612 equipment = $1,224divide $1,224 by $25.50 for each uniform and get24 uniforms as an answer
You have to put a equation:
1836 = 612 + 25,50x⇔1836-612=25,50x⇔1224 = 25,50x⇔x= (1224)/(25,50)⇔x=48
The school purchased 48 uniforms.

Describe the mental math steps you would use to find 7 (42)

Answers

Break 42 into 40 + 2. Multiply 40 x 7=280 and 2 x 7=14. Then add 280 + 14 = 294.
If you want to do step by step, you should start by breaking 42 into 40 and 2.
Then you multiply 7 by both 40 and 2. 7 times 40 is 280. 7 times 2 is 14. You could then add the two products and you get 294.
Or you could simply multiply 7 times 42.

33pt = blank qt blank pt

Answers

33 pints equals 16.5 quarts
                  KEY                
  1 pints equals 0.5 quarts
                                        
~Just simply multiply 0.5 by 33 to get your answer of:
16.5 quarts 
~.~.~.~.~.~.~.~.~.~.~.~.~.~
~Hope this helps :)
So,

I assume you want the answer in quarts and then pints with remainder.

2 pt. = 1 qt.

32 pt. = 16 qt.

33 pt. = 16 qt. 1 pt.
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