Answer:
8/3
Step-by-step explanation:
8/9
Answer:
The answer is flood
Step-by-step explanation:
Because she lives near the river that's the most likely thing to happen
Answer:
See below.
Step-by-step explanation:
(a) Because the solution led to a square root of a negative number:
x^2 -10x+40=0
x^2 - 10x = -40 Completing the square:
(x - 5)^2 - 25 = -40
(x - 5)^2 = -15
x = 5 +/-√(-15)
There is no real square root of -15.
(b) A solution was found by introducing the operator i which stands for the square root of -1.
So the solution is
= 5 +/- √(15) i.
These are called complex roots.
(c) Substituting in the original equation:
x^2 - 10 + 40:
((5 + √(-15)i)^2 - 10(5 + √(-15)i) + 40
= 25 + 10√(-15)i - 15 - 50 - 10√(-15)i + 40
= 25 - 15 - 50 + 40
= 0. So this checks out.
Now substitute 5 - √(-15)i
= 25 - 10√(-15)i - 15 - 50 + 10√(-15)i + 40
= 25 - 15 - 50 + 40
= 0. This checks out also.
1 yard ≈ 0.9144 m
Therefore,
10 yards = 10*0.9144 m = 9.144 m
13 yards = 13*0.9144 m = 11.8872 m
Area to be covered = 9.144*11.8872 = 108.697 m^2
Therefore, Samantha will require approximately 109 m^2 of carpet.
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