The transformation of A is A' = (8, -3)
<h3>How to determine the transformation?</h3>
From the graph, we have:
A = (3,1)
The scale factor and the center of dilation are given as:
k = 2
(a,b) = (-2,1)
The rule of reflection across the axis is:
(x,y) ⇒ (x,-y)
So, we have:
A' = (3,-1)
The rule of dilation is represented as:
(x,y) ⇒ (k(x - a) + a, k(y - b) + b)
So, we have:
A' = (2(3 + 2) - 2, 2(-1 - 1) + 1)
Evaluate
A' = (8, -3)
Hence, the transformation of A is A' = (8, -3)
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Interest due at the end of 120 days
= 8500(120/365)(.09) = 251.51
so of his $4000 payment, $3748.49 will go towards reducing the debt.
so balance owing = 8500 - 3748.49
= 4751.51
interest for the remaining 80 days
= 4751.51(.09)(80/365) =93.73
total owing at the end = 4751.51+93.73
= $4845.23
Answer:
78°
Step-by-step explanation:
Angles on a straight line = 180°
AD is the straight line
Angle BFA = 48
Angle CFD = 54
54 + 48 = 102
180 - 102 = 78
Therefore, Angle BFC = 78°
Answer:
f(x+5) = -3x-21
Step-by-step explanation:
9 times six equals fifty four and nine plus six equals fifteen