X varies directly as y, and x = 153 when y = 9. Find x when y = 13.
2 answers:
Answer:
The value of x is 221 when k = 17 and y = 13.
Therefore the Option (C) is correct .
Step-by-step explanation:
As given
x varies directly as y.
x = ky
Where k is the constant of proportionality.
As given
x = 153 when y = 9
Put in the above
153 = 9k
k = 17
Now Find out the value of x when k = 17 and y = 13.
x = ky
x = 17 × 13
x = 221
The value of x is 221 when k = 17 and y = 13.
Therefore the Option (C) is correct .
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I am not familiar with Laplace transforms, so my explanation probably won't help, but given that for two Laplace transform
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Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|=
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !