chibest0300 chibest0300
  • 19-02-2022
  • Mathematics
contestada

Y is inversely proportional to x2. When y =10, x = 2, what is y
when x = 10?

Respuesta :

semsee45
semsee45 semsee45
  • 19-02-2022

Answer:

[tex]\dfrac25[/tex]

Step-by-step explanation:

[tex]y \propto \dfrac{1}{x^2} \implies y=\dfrac{k}{x^2} \ \ \ \textsf{where k is some constant}[/tex]

when y = 10 and x  =2:

[tex]\implies 10=\dfrac{k}{2^2}[/tex]

[tex]\implies k=40[/tex]

Therefore,

[tex]\implies y=\dfrac{40}{x^2}[/tex]

when x=10:

[tex]\implies y=\dfrac{40}{10^2}=\dfrac{40}{100}=\dfrac25[/tex]

Answer Link

Otras preguntas

pls help this is my last one.......
Identify the value of the 7 in 7.724 (the one before the point)
which type of civic group are the National Organization of women and the National Rifle Association
Fill in the blank: linear functions grow by equal ____________ over equal intervals. A. expressions B. variables C. factors D. differences
If you were giving a speech on the remarkable characteristics of vegetables, the following statistic would be effective as an attention getter. The Department
the first term of a sequence is 13 the term-to-term rule is take away 5 workout the 4th term
If the Greatest Common Factor of L and M is 6, write the expression for the Least Common Multiple of these numbers.
How do you think having balanced time for school, work and play can reduce stress?
Simplify (x+4)(x^2-6x
evaluate the expression 6+4 divided 2 - 3 X2