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Maslowich
3 years ago
5

If x varies inversely with y², and x=10 when y=7. find x when y=10

Mathematics
2 answers:
yulyashka [42]3 years ago
7 0

Answer:

  • 4.9

Step-by-step explanation:

<u>Given</u>

x varies inversely with y², then the function is:

  • x = k/y²

<u>x = 10, y = 7, find the value of k by substituting the values of x and y:</u>

  • 10 = k/7²
  • 10 = k/49
  • k = 10*49
  • k = 490

<u>The function is:</u>

  • x = 490/y²

<u>When y = 10, the value of x is:</u>

  • x = 490/10² = 490/100 = 4.9
astraxan [27]3 years ago
6 0

Answer:

Statement says that,

<em>x varies inversely with y²</em>

According to the above problem,we get

x=k/y², where k is a constant

Now, x=10 when y=7, so the value of k is

10=k/7²

k=10×7²

k=10×49

<u>k=490</u>

Hence, when y=10,

we have to find the value of x

So by putting the value of k, we get

x=490/(10)²

x=490/100

<u>x=4.9</u>

★ <em><u>x</u></em><u><em>=4.9</em> is the right answer.</u>

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