In Mr. Richard's class, 5/8 of the students like

PLEASE HELP! find (1,2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

N76 [4]

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

FOR (1, 2)

Given

P(1, 2)

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

FOR (2, 4)

Given

P(2, 4)

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)

6 0

3 years ago

HELP!!!! I’LL GIVE THE BRIANLIEST TO WHOEVER GETS IT RIGHT!!!!

Leto [7]

Answer:

13 units

Step-by-step explanation:

D is at (1,6) and C is at (-4,-6)

The distance is found by

d = sqrt(( y2-y1)^2+ (x2-x1)^2))

= sqrt( ( -6-6)^2 + (-4-1)^2)

= sqrt( -12^2 + -5^2)

= sqrt( 144+ 25)

= sqrt( 169)

= 13

6 0

3 years ago

The following polynomial is defined on the interval [-2, 2]:

Bess [88]

Answer:

Using Matlab code for Fourier series to calculate for the function, see the attached

Step-by-step explanation:

Go through the picture step by step.

6 0

3 years ago

Brainliest + Points!

LenaWriter [7]

Hey refer to attachment!!!

Draw straight line from 220 (in thousands ) to the plotted line. Draw line parallel to x-axis from point where it touches the plotted line to the y -axis.

It'll automatically meet at 500 which is the answer..

All you need to do is to see the graph carefully.

Hope it helps *_*

3 0

3 years ago

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th

Artemon [7]

Answer:

72.51

Step-by-step explanation:

Given that :

Lab score % = 23%

Each Major test % = 22.5%

Final exam % = 32%

Score :

Lab score = 96

First Major test = 64

Second major test = 62

Final exam = 69

Hence,

Weighted average = Σ(weight % * score)

Weighted average = Σweight_1*score_1 +.. Weight_n * score_n)

(0.23 * 96) + (0.225 * 64) + (0.225 * 62) + (0.32 * 69) = 72.51

3 0

2 years ago