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Kruka [31]
3 years ago
11

What transformations were applied to ABCD to obtain A'B'C'D?

Mathematics
2 answers:
Dahasolnce [82]3 years ago
3 0

Answer:

ANSWER IS B 90 DEGRESS COUNTERCLOCKWISE, TRANSLATION 3 UNITS TO THE LEFT

Step-by-step explanation:

Answer: B) 90° counterclockwise, translation 3 units to the left.

Step-by-step explanation: Given coordinates of figure ABCD are:

A (1,5).

B (1,9)

C ( 5,9)

D (5,5)

Coordinates of transformed image A'B'C'D' are :

A' (-8,1)

B' (-12,1)

C' (-12,5)

D' (-8,5).

We need to explain rule of transformation:

Let us compare coordinates of A and A'.

A (1,5)  ---> A' (-8,1)

We can see that (x,y) ----> (y,-x) -----> (y,-x-3) rule is being applied there.

So, according to (x,y) ----> (y,-x) rule, it's Rotation of 90 degrees counterclockwise.

And (y,-x) -----> (y,-x-3) is translation 3 units to the left.

Therefore,

Correct option is B) 90° counterclockwise, translation 3 units to the left.

LenKa [72]3 years ago
3 0

Answer:

Rotate 90 degrees counterclockwise then translate 2 units up.

Step-by-step explanation:

I just took a quiz on a p e x and it was correct! :)

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50 POINTS PLEASE HELP
PIT_PIT [208]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
lee has invested $2800 in a venture company. he receives 6.5% interest a year, compounded continuously. How long will it take hi
d1i1m1o1n [39]

Answer:

It'll take 10.6638 years to double his money.

Step-by-step explanation:

Since the invested capital is compounded continuosly we need to use the apropriate formula shown below:

M = C*e^(r*t)

Where M is the final value, C is the initial value, r is the rate of interest and t is the total time elapsed. In this case we want to  double our investment, since the amount invested was 2800, then we need to have a final value of 2*2800 = 5600. Applying these values to the formula:

5600 = 2800*e^(0.065*t)

2800*e^(0.065*t) = 5600

e^(0.065*t) = 5600/2800

e^(0.065*t) = 2

ln(e^(0.065*t)) = ln(2)

0.065*t = ln(2)

t = ln(2)/0.065 = 10.6638 years

It'll take 10.6638 years to double his money.

7 0
3 years ago
4-15 all this is overdue and I cant understand anything
attashe74 [19]

I'm not 100% sure how to do this, but it would help if you had any notes/online notes/textbook that shows how to do it (also to see if what I did is the same as the notes)


4. B<u>reak-even point</u> (It's basically the intersection point. Or the point when the two lines meet/the point that is the same for both equations)

I plugged in numbers for x into both equations, until C and R were the same number.  

I had x = 1, so I plugged in 1 for x into both equations:

C = 15x + 150                      C = 15(1) + 150 = 15 + 150 = 165

R = 45x                                R = 45(1) = 45

Then I had x = 2, then x = 3, and so on until C and R were the same number (meaning they had the same point), which was (5, 225)


Idk how you are suppose to check the solution because there are multiple ways to do this. I doubt this, but one option is plugging (5, 225) back into the equations:

C = 15x + 150                                                                R = 45x

225 = 15(5) + 150                                                     225 = 45(5)

225 = 75 + 150                                                         225 = 225

225 = 225


5. (I made another sort of table? because I didn't know what kind you were suppose to use)   Do the same as #4, and plug in numbers for x until C and R were the same number


6. Do the same as #4   (If you have any questions or information I should know then let me know)


7.   y = mx + b  

"m" is the slope, "b" is the y-intercept [the y value when x = 0   (0, y)]

The y-intercepts are -2 and 13, so the graph is B. Now you need to estimate the solution(point of intersection) by looking at the graph. It looks around (6,7).

Now you need to check the solution by plugging the point into both equations.

y = 1.5x - 2

7 = 1.5(6) - 2

7 = 9 - 2

7 = 7


y = -x + 13

7 = -6 + 13

7 = 7                 The point is the solution


8. The graph is A. Do the same as #7 and estimate a point. I will say around (2.5,6.5)  And check this by plugging the point into both equations

y = x + 4

6.5 = 2.5 + 4

6.5 = 6.5


y = 3x - 1

6.5 = 3(2.5) - 1

6.5 = 7.5 - 1

6.5 = 6.5        The point is the solution


9. Graph C, do the same as #7 and #8


10. y = mx + b

"b" is (0,b) or (0,y)

"m" is the slope

(slope=\frac{rise}{run}  

Rise is the number of units you go up(+) or down(-)

Run is the number of units you go to the right)


You need to graph the lines of each equation, and find the point of intersection.


11-15. Do the same as #10

If "y" is not by itself, get it by itself.

#13:

x + y = 27    Subtract x on both sides to get "y" by itself

y = 27 - x

5 0
3 years ago
Rewrite in simplest rational exponent form square root of x times the fourth root of x. Show each step of your process.
belka [17]

Answer:

\sqrt[4]{ {x}^{3}  }

Step-by-step explanation:

\sqrt{x}  \times  \sqrt[4]{x} \\  =  {x}^{ \frac{1}{2} }  \times  {x}^{ \frac{1}{4} }  \\  =  {x}^{ \frac{1}{2}  +  \frac{1}{4} }  \\  =  {x}^{ \frac{3}{4} }  \\  =  \sqrt[4]{ {x}^{3} }

5 0
2 years ago
PLEASE HELP MEEEEEE....
garik1379 [7]

Answer:

you have to find the mean, median, and mode so the 1st is that you have to add numbers and then multiple it

Step-by-step explanation:

did this in 8th grade middle school

3 0
3 years ago
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