Answer: 0.79
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Answer:
D
Step-by-step explanation:
(4x√5x^2 +2x^2√6)^2
remove the last ^2 by multiplying the parenthesis by each other:
(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)
use FOIL & distribute :
4x√5x(4x√5x +2x^2√6) +2x^2√6(4x√5x +2x^2√6)
apply the distributive property once more:
4x^2√5(4x^2√5)+ 4x^2√5(2x^2√6) + (2x^2√6(4x^2√5) +2x^2√6(2x^2√6)
remove parenthesis and combine like terms to get:
104x^4+16x^4√30
answer is D
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Step-by-step explanation:
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Answer:
-7
Step-by-step explanation:
3x +17 + 5x = 7x +10
3x +17 + 5x - 7x = +10-17
x=-7
Let x be rate of boat in still water
let y be rate of current
we use this equation to relate quantities:
distance = speed · time
we have two unknowns so we might need to create a system of equationss
upstream:
speed (in km/h) = x - y
(we get speed of boat then subtract the current's speed from it since current is going against boat direction)
time = 3 hours
distance = 144 km
downstream:
speed (in hm/h) = x + y
(we get speed of boat then add the current's spd from it since current is going against boat direction)
time = 2 hours
distance = 144 km (same distance upstream and downstream)
using distance = speed times time
for upstream
144 = 3(x-y)
144 = 3x - 3y
for downstream
144 = 2(x+y)
72 = x + y
system of eqns:
144 = 3x - 3y
72 = x + y
solve by substitution: move 72 = x + y into x = 72 - y and subst into other equation for x
144 = 3(72 - y) - 3y
144 = 216 - 3y - 3y
144 = 216 - 6y
144 - 216 = -6y
-72 = -6y
y = 12 km/h
Use x = 72 - y to find x with y = 12: x = 72 - 12 = 60 km/h
rate of boat in still water is 60 km/h
rate of the current is 12 km/h
