New cordinates are formed by adding 7 in x and subtracting 2 from y
A(−2, 2) =A ' (-2 +7 , 2 - 1 ) = A' (5,1)
B(−2, 4) = B' (-2 + 7 , 4 -1 )= B' (5,3)
C(2, 4) = C' (2 + 7 , 4 -1 )= C' (9,3)
<span>D(2, 2) D' (2 + 7 , 2 -1 ) = D' ( 9 , 1)</span><span>
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2x² + 6x - 3 + 2x³ - 3x + 2
Combine like terms
2x³ + 2x² + 6x - 3x - 3 + 2
Final answer:
2x³ + 2x² + 3x - 1
There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
Answer:
Correct option is D 
Step-by-step explanation:
Let the laptop's original cost be = L
After 20% discount its price will be (100 - 20)% × L = 0.8L
8% sales tax on this price = (100 + 8)% × 0.8L = 1.08 × 0.8L
So, p = 1.08 × 0.8L
⇒ L = 
