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Y_Kistochka [10]
3 years ago
5

rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis reflection across the y-a

xis, then a translation a units to the right and b units up translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis
Mathematics
1 answer:
SpyIntel [72]3 years ago
7 0

Answer:

The point O can be (x,y)  or (-x,y) or (-x,-y) or ( x,-y) reason being that you haven't given point O lies in which quadrant.

Rotation through 90° counter clockwise

(x,y) = (-y,x)

(-x,y)=(-y,-x)

(-x,-y)=(y,-x)

(x,-y) =(y,x)

Then Reflection across X axis has taken place.

(-y,x) = (-y,-x)

(-y,-x)=(-y,x)

(y,-x)=(y,x)

(y,x)=(y,-x)

Then a reflection across the y-axis has taken place.

(-y,-x)=(y,-x)

(-y,x) = (y,x)

(y,x) =(-y,x)

(y,-x)=(-y,-x)

Then a translation a units to the right and b units up has taken place.

(y,-x)=(y+a,-x+b)

(y,x) =(y+a, x+b)

(-y,x) =(-y+a,x+b)

(-y,-x)=(-y+a,-x+b)

Then a rotation of 180 degrees counterclockwise about the origin has taken place.

(y+a,-x+b)=[-(y+a),-(-x+b)]

(y+a, x+b)=[- (y+a), -(x+b)]

(-y+a,x+b)=[-(-y+a),-(x+b)]

(-y+a,-x+b) =[-(-y+a),-(-x+b)]

Now Again a reflection across the Y axis has taken place.

[-(y+a),-(-x+b)]=[(y+a),-(-x+b)]

[-(y+a),-(x+b)]=[(y+a),-(-x+b)]

[-(-y+a),-(x+b)]=[(-y+a),-(x+b)]

[-(-y+a),-(-x+b)]=[(-y+a),-(-x+b)]

Totally depends on value of a and b on which quadrant these point lies.



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Answer:

A

Step-by-step explanation:

The graphs are attached.

First of all, the day proposal goes out, 25 people know, so the initial condition is y = 25 at x = 0.

Hence, graph would start at y = 25.

Looking at the graphs, we can eliminate B and D immediately because they start at 50.

Now, it says every day, this number (y) triples, so 1 day after, it would be:

25 * 3 = 75

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So,

A is the graph of the situation represented.

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Answer:

$226

Step-by-step explanation:

1. define the variable x

x = # of days to rent the carpet cleaner

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A bag contains white marbles and green marbles, 62 in total. The number of white marbles is 3 less than 4 times the number of gr
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Answer:

There are 49 white marbles.

Step-by-step explanation:

w + g = 62        (w = white and g = green marbles).

w = 4g - 3

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3 years ago
Evaluate b-(-1/8)+c where b=2 and c=-7/4​
tatiyna

Answer:

3/8

Step-by-step explanation:

Evaluate b - -1/8 + c where b = 2 and c = -7/4:

b - (-1)/8 + c = 2 - (-1)/8 - 7/4

Put 2 + 1/8 - 7/4 over the common denominator 8. 2 + 1/8 - 7/4 = (8×2)/8 + 1/8 + (2 (-7))/8:

(8×2)/8 + 1/8 - (7×2)/8

8×2 = 16:

16/8 + 1/8 - (7×2)/8

2 (-7) = -14:

16/8 + 1/8 + (-14)/8

16/8 + 1/8 - 14/8 = (16 + 1 - 14)/8:

(16 + 1 - 14)/8

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(17 - 14)/8

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Answer:  3/8

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3 years ago
In the figure shown, line AB is parallel to line CD.
disa [49]

Answer:

Part A: <em>x = </em>55°

Step-by-step explanation:

<em>Part A Work:</em>

x + 65 = 120

<em>Part B Work:</em>

<em> </em>The transversal passes through the 2 conforming lines which allows you to use rules such as opposing interior angles. <em> </em>

<em> </em>

<em>hope this helps!</em>

<em>- Kiniwih426</em>

<em />

<em />

<em />

<em />

<em> </em>

<em />

4 0
3 years ago
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