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Feliz [49]
3 years ago
11

ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line

y = -x. What are the coordinates of the vertices of the image?
A(. A'(0, 3), B'(2, 3), C'(1, 1)
B(. A'(0, -3), B'(3, -2), C'(1, -1)
C(. A'(-3, 0), B'(-3, 2), C'(-1, 1)
D(. A'(0, -3), B'(-2, -3), C'(-1, -1)

Mathematics
1 answer:
Flauer [41]3 years ago
6 0
Answer: B

Picture 1 shows the reflection of ABC 180° clockwise about the origin. To draw A'B'C' we draw the line segments AO, BO, and CO and extend them such that O is the midpoint of line segments AA', BB', and CC' respectively.

Picture 2 shows the line y=-x (the yellow line.) This is the line containing all points of the form (x, -x), that is, this points contains (1, -1), (-2, 2) etc...

We see that point C' is already on this line, and we draw the reflections of points B and C with respect to this line, to find B'' and C'' with coordinates as shown in the figure.



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Please help.........​
Alex

Answer:

- \frac{61}{11}

Step-by-step explanation:

\frac{x}{y} = \frac{5}{6} ( cross- multiply )

6x = 5y ( divide both sides by 6 )

x = \frac{5}{6} y

Then

\frac{5x+6y}{5x-6y} ← substitute x = \frac{5}{6} y into the expression

= \frac{\frac{25}{6}y+6y }{\frac{25}{6}y-6y }

= \frac{\frac{61}{6}y }{-\frac{11}{6}y }

= \frac{\frac{61}{6} }{-\frac{11}{6} }

= \frac{61}{6} × - \frac{6}{11}

= - \frac{61}{11}

3 0
3 years ago
How do you solve -x/6 > 3?
Lerok [7]

Answer:

Using Math.

Step-by-step explanation:

You solve it using math.

See, you should have been more specific with your question, maybe said "What is the answer" not "How do I solve".

But I guess I'll help you out bro

<em>Multiply</em> both sides by 6

that gives you -x>18

then <em>multiply</em> both sides by -1

which means you gotta <u>flip the sign</u>

so final answer is x<-18

4 0
3 years ago
PLEASE HELP, ASAP. I WILL MARK YOU BRAINLIEST‼️
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3 years ago
What is the value of the expression?<br> 5(6-10)
MArishka [77]

Answer:

-20

Step-by-step explanation:

multiply 5 and 6 then 5 and -10

30-50=-20

6 0
3 years ago
What is x, the length of the diagonal, to the nearest whole number
lions [1.4K]

brainly being slow today so i did my work on this attachment

╦────────────────────────────╦

│Hope this helped  _____________________│      

│~Xxxtentaction _______________________│

╩__________________________________╩      

6 0
3 years ago
Read 2 more answers
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