if x varies directly as y² and x=4 when y=5, then find x when y is 15
Answers
Answer:
given X is directly proportional to y²
i.e.x=ky²,where K is constant of proportionality
now given X=4when. y=5 so
4=k5²
K=4/25
now to find X when y is 15
X=4/25*15²
X=36 ans
Step-by-step explanation:
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Given : x varies directly as y²
x=4 when y=5
To Find : x when y is 15
Solution:
x varies directly as y²
=> x ∝ y²
=> x = ky²
x=4 when y=5
=> 4 = k (5)²
=> k = 4/25
x = ky²
=> x = 4y²/25
y is 15
=> x = 4(15)²/25
=> x = 4 (9)
=> x = 36
Hence x = 36 when y = 15
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