Answer:
19. 16x-4 ; 20. 10y+1
Step-by-Step explanation:
19. The perimeter of a rectangle is expressed as P= 2(side1) + 2(side2)
If side1= x-3 and side2= 7x+1
P=2(x-3) + 2(7x+1)
=(2x-6) + (14x+2)
P=16x-4
or
P=4(4x-1)
20. The perimeter of a triangle is expressed by adding all three sides together.
If side1=3y+5 side2=y-4 side3=6y
P=(3y+5)+(y-4)+(6y)
P=10y+1
The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.
Translation before rotation:
.. translate down 5 units
.. rotate counterclockwise 90° about the origin
Translation after rotation:
.. rotate counterclockwise 90° about the origin
.. translate right 5 units
This can also be accomplished by a double reflection.
.. reflect across the line y=x
.. reflect across the line x=2.5
Or,
.. reflect across the line y=2.5
.. reflect across the line y=x
Answer:
80
Step-by-step explanation: