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x varies inversely as square of y. Given that y = 3 for x = 1.find the value of x for y = 4.
- a)3
- b)9
- c)1/3
- d)9/16
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
x varies inversely as square of y. Given thaty = 3 forx = 1.find the v...
X varies inversely as square of y, so we can say x=
y
2
n
.
Given: y=2 and x=1
⇒1=
(2)
2
n
⇒(2)
2
=n
⇒n=4
So, if y=6 we have, x=
(y)
2
n
⇒x=
(6)
2
4
=
36
4
=
9
1
y
2
n
.
Given: y=2 and x=1
⇒1=
(2)
2
n
⇒(2)
2
=n
⇒n=4
So, if y=6 we have, x=
(y)
2
n
⇒x=
(6)
2
4
=
36
4
=
9
1
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Community Answer
x varies inversely as square of y. Given thaty = 3 forx = 1.find the v...
In this problem, we are given that x varies inversely as the square of y. This means that as y increases, x decreases, and vice versa. Mathematically, we can express this relationship as:
x ∝ 1/y^2
To find the value of x when y = 4, we can use the given information that y = 3 when x = 1. Let's solve this step by step.
Given:
y = 3, x = 1
Step 1: Write the inverse variation equation
We know that x varies inversely as the square of y, so we can write the equation as:
x = k/y^2
Step 2: Find the value of the constant of variation (k)
To find the value of k, we can substitute the given values of x and y into the equation:
1 = k/3^2
1 = k/9
k = 9
Step 3: Use the value of k to find x when y = 4
Now that we have the value of k, we can substitute it into the equation and solve for x:
x = 9/4^2
x = 9/16
Therefore, the value of x when y = 4 is 9/16.
Answer: Option D) 9/16
x ∝ 1/y^2
To find the value of x when y = 4, we can use the given information that y = 3 when x = 1. Let's solve this step by step.
Given:
y = 3, x = 1
Step 1: Write the inverse variation equation
We know that x varies inversely as the square of y, so we can write the equation as:
x = k/y^2
Step 2: Find the value of the constant of variation (k)
To find the value of k, we can substitute the given values of x and y into the equation:
1 = k/3^2
1 = k/9
k = 9
Step 3: Use the value of k to find x when y = 4
Now that we have the value of k, we can substitute it into the equation and solve for x:
x = 9/4^2
x = 9/16
Therefore, the value of x when y = 4 is 9/16.
Answer: Option D) 9/16
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x varies inversely as square of y. Given thaty = 3 forx = 1.find the value of x fory = 4.a)3b)9c)1/3d)9/16Correct answer is option 'D'. Can you explain this answer?
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