leah6513 leah6513
  • 25-05-2020
  • Mathematics
contestada

y is directly proportional to the positive square root of (x+2)when x=7,y=9. Find y when x=23

Respuesta :

berno berno
  • 27-05-2020

Answer:

15

Step-by-step explanation:

Given: y is directly proportional to [tex]\sqrt{x+2}[/tex] when x = 7, y = 9

To find: y when x = 23

Solution:

u and v are said to be proportional if [tex]u=kv[/tex] where k is a constant of proportionality.

As y is directly proportional to [tex]\sqrt{x+2}[/tex] when x = 7, y = 9,

[tex]y=k\sqrt{x+2}\\[/tex]

Put x = 7, y = 9

[tex]9=k\sqrt{7+2}=3k\\ k=\frac{9}{3}=3\\ y=3\sqrt{x+2}[/tex]

Put x = 23

[tex]y=3\sqrt{23+2}=3\sqrt{25}=3(5)=15[/tex]

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