Can someone help me please... Thanks!
2 answers:
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Answer:
Step-by-step explanation:
we are given an expression as
Firstly, we will find factors
We can see that 2xy is common in all terms
so, we can factor out 2xy from all terms
and we get
now, we can factor again
we get
Answer: A″ (−1, 2), B″ (1, 1), C″ (1, −1), D″ (−1, −2)
Step-by-step explanation:
- there are basically 2 parts in the question.
- first one is the translation(easier one)
after translation, the corresponding points will be:
A (− 5, 1) --> a(-5+3,1-2) = (-2,-1)
B (−4, 3) --> b(-4+3,3-2) = (-1,1)
C (−2, 3) --> c(-2+3,3-2) = (1,1)
D (−1, 1) --> d(-1+3,1-2) = (2,-1)
- now the second part:
let (x,y) be a point and if it is rotated by ""
then, the new coordinates (x',y') will be :
x'=
y'=
here,
so,
a(-2,-1) --> A"
(since, cos[90]=0, sin[90]=1)
b(-1,1) -->B"(-1cos[90]+1sin[90], -[-1]sin[90]+1cos[90])=(1,1)
c(1,1) --> C"(1cos[90]+1sin[90],-[1]sin[90]+1cos[90]) = (1,-1)
d(2,-1) --> D"(2cos[90]+[-1]sin[90],-2sin[90]+[-1]cos[90]) =(-1,-2)
these are the coordinates after both the transformations.