Answer: A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin .
Step-by-step explanation:
From the given figure, the coordinates of ΔABC are A(-3,4), B(-3,1), C(-2,1) and the coordinates of ΔA'B'C' are A'(3,1), B'(3,4), C'(2,4).
When, a translation of 5 units down is applied to ΔABC, the coordinates of the image will be
Then applying 180° counterclockwise rotation about the origin, the coordinates of the image will be :-
which are the coordinates of ΔA'B'C'.
Hence, the set of transformations is performed on triangle ABC to form triangle A’B’C’ is " A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin ".
Answer:
Step-by-step explanation:
EARNINGS FOR YEARS = PAY RATE/HOUR * HOURS/WEEKS * WEEKS/YEAR * YEARS
EARNINGS FOR 15 YEARS = 21.75/hour * 40 hours/week * 52 weeks/year * 15 years
Earnings = $678,600
Step-by-step explanation:
d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2
then it is an arithmetic sequence
by using this equation :
a(n) = a1 +(n-1)d
and we have : a1=(1/4), d=(1/2)
So:
Explicit formula: a(n) = (1/4) +(n-1)*(1/2)
<em>hope this helps </em>
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