All categories

3 years ago

What is the image of point (4, 3) if the rotation is 90º ? Please and thank you.

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

Answer: (-3, 4)

Step-by-step explanation: Given point coordinate (4,3).

We need to rotate the given point about 90º.

In order to find the new coordinates of rotation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).

Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.

In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.

On applying rule (h, k) ---> (-k,h), we get

(4,3) ---> (-3, 4)

You might be interested in

How do you substitute 4(x) into the inequality 1/2x+5y-10<0 to find the possible value of y?

Veseljchak [2.6K]

You put 4 in the X
1/2(4)+5y-10<0
2+5y-10<0
-8+5y<0
5Y<8
Y<8/5

3 0

3 years ago

What is the interquartile range of the data set

Verizon [17]

There are many methods of doing this. This one finds the median; however, instead of halving, you can use quarters instead.

First order the data, ascendingly:

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Find the median:

For an even number of values: The number of values / 2

For an odd number of values: The number of values + 1 / 2

11 is odd.

11 + 1 / 2

12 / 2 = 6

The median is at the 6th position.

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

The median is 20.

Other method:

You don't need this step.

Using the values lower than the median, exclusive, find the median of the lower values;

For an odd number of values: The number of values + 1 / 2

10, 17, 18, 18, 18

5 + 1 / 2 = 6 / 2 = 3

The median of the lower values is at position 3.

This is the lower quartile.

10, 17, 18, 18, 18

Other method:

For an odd number of values: The number of values + 1 / 4

11 + 1 / 4 = 12 / 4 = 3

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Using the values greater than the median, exclusive, find the median:

For an odd number of values: The number of values + 1 / 2

20, 25, 25, 30, 30

5 + 1 / 2 = 6 / 2 = 3

The median of the upper values is at position 3.

20, 25, 25, 30, 30

This is 25.

This is the upper quartile.

Other method:

For an odd number of values: (The number of values + 1 / 4) * 3

(11 + 1 / 4) * 3 = (12 / 4) * 3 = 3 * 3 = 9

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Your interquartile range is 3 - 25

25 - 3 = 21

8 0

3 years ago

Please help me with this

bija089 [108]

Answer:

not sure to be honest

Step-by-step explanation:

7 0

2 years ago

Find the equation of the straight line that passes through points (-1; -2) and (3; 4)

Leya [2.2K]

Y=mx+b is our base equation

m=slope, so let's find that first:
m= change in y/change in x
So between the points (-1,-2) and (3,4),
The y values, -2 and 4, have a difference of 6. The x values, -1 and 3, have a difference of 4. This makes our slope 6/4 (or 3/2 simplified)

Now our equation is
Y=3/2x + b

We still need to find b
To find b, we can substitute a point given to us. Let's use (3,4) just to avoid negatives.

4=3/2(3) + b
Multiply
4=9/2 + b
Subtract 9/2 from both sides
-1/2=b

Now let's put it all back together!

Y=3/2x-1/2 Is the answer.

I hope this Helps!

6 0

3 years ago

at elm elementary school for every 5 students who walk to school there are 7 students who take the bus.if 420 students attend el

Nesterboy [21]

175 students walk to school. 7+5=12 and 420 divided by 12 is 35. I checked how I did it was correct because of 5*35+7*35=420. Then I found the product of 5*35 which is 175.

4 0

3 years ago