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Sphinxa [80]
3 years ago
6

Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below: A coordinate grid is shown from negative 5

to 0 to 5 on both x- and y-axes at increments of 1. A polygon ABCD has A at ordered pair negative 4, 3, B at ordered pair negative 2, 4, C at ordered pair negative 3, 1, D at ordered pair negative 4, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair 4, negative 2, B prime at ordered pair 2, negative 1, C prime at ordered pair 3, negative 4, D prime at ordered pair 4, negative 4. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? Reflection over the x-axis followed by a translation to the right by 5 units Reflection over the y-axis followed by a translation down by 5 units Counterclockwise rotation by 180 degrees about the origin followed by a translation to the right by 5 units Counterclockwise rotation by 180 degrees about the origin followed by a translation down by 5 units

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0

Answer:

Reflection over the y-axis followed by a translation down by 5 units.

Step-by-step explanation:

defon3 years ago
3 0

The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The sgment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.


In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.


The appropriate choice is the 2nd one ...

... Reflection over the y-axis followed by a translation down by 5 units.

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Solve for x<br> 3x + 6 over 3 = 6
Svetradugi [14.3K]

Answer:

X= 4

Step-by-step explanation:

3x+6/3=6

multiply each side by 3 to get rid of the fraction bar

3x+6=6*3

3x +6=18

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3x= 18-6

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divide by three on both sides to solve for x

x=12/3

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Dima020 [189]
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A cabinet door has a perimeter of 62 inches its area is 228 in.² what are the dimensions of the door
Vlad1618 [11]
P=2(L+W)
A=LW


given
P=62
62=2(L+W)
divide 2
31=L+W
minus W
L=31-W

sub into other one
A=LW
A=(31-W)(W)
228=31W-W^2
times -1
W^2-31W=-228
add 228 both sides
W^2-31W+228=0
factor
what 2 numbers multiply to get 228 and add to get -31
-19 and -12
(W-19)(W-12)=0
set to zero

W-19=0
W=19

W-12=0
W=12

sub back

L=31-W
L=31-12
L=19
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