Respuesta :
The value of p is equal to 76 when q is equal to 4
Given :
If p is inversely proportional to the square of q
when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]
given that p is inversely proportional to the square of q. the equation becomes
[tex]p=\frac{k}{q^2}[/tex]
when p is 19 the value of a is 8
Replace the values and find out q
[tex]p=\frac{k}{q^2}[/tex]
[tex]22=\frac{k}{8^2}[/tex]
[tex]22=\frac{k}{64}[/tex]
Multiply both sides by 64
k=1216
Now we find out p when q is 4
Replace k value and q value to find out p
[tex]p=\frac{k}{q^2}[/tex]
[tex]p=\frac{1216}{4^2}[/tex]
[tex]p=76[/tex]
The value of p is equal to 76 when q is equal to 4
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Answer:
P = 88.
Step-by-step explanation:
P = k/q^2
22 = k/ 8^2
k = 22 * 64 = 1408.
So P = 1408/q^2
When q = 4:
P = 1408/4^2
q = 88
