Three students were given the expression shown to simplify.
1 answer:
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Answer:
The given line segment whose end points are A(2,2) and B(3,8).
Distance AB is given by distance formula , which is
if we have to find distance between two points (a,b) and (p,q) is
=
AB= = 6.08 (approx)
Line segment AB is dilated by a factor of 3.5 to get New line segment CD.
Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)
Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)
CD = AB × 3.5
CD = √37× 3.5
= 6.08 × 3.5
= 21.28 unit(approx)
2. Slope of line joining two points (p,q) and (a,b) is given by
m=
m=
As the two lines are coincident , so their slopes are equal.
Slope of line AB=Slope of line CD = 6
Answer:
$1,701.64
Step-by-step explanation:
(see attached for reference)
recall that for compound interest, the following formula applies:
A = P [1 + (r/n) ] ^ (nt), where
A = final amount (we are asked to find this)
P = Principal amount = $1,200
r = interest rate = 5% = 0.05
t = 7 years
n = 12
Substituting these into the equation,
A = 1200 [1 + (0.05/12) ] ^ [(12)(7)]
A = $1,701.64
