Answered

Explore a world of knowledge and get your questions answered on IDNLearn.com. Our experts provide timely and precise responses to help you understand and solve any issue you face.

if y varies inversely with x and y= -18 when x = 6 , find y when x=5

Sagot :

Wegnerkolmp2741oidn

Answer:

y = -108/5

Step-by-step explanation:

An inverse variation is xy = k where k is a constant

xy =k

6*-18 = k

-108 = k

xy = -108

Let x = 5

5y = -108

Divide by 5

y = -108/5

Problem:

  • if y varies inversely with x and y.= -18 when x = 6, find y when x = 5?

Answer:

  • [tex] \huge \: \boxed{y = - 21.6}[/tex]

Formula:

  • [tex] \boxed{y = \frac{k}{x} }[/tex]

To find k use the given condition:

Given that:

  • [tex]y = -18 [/tex]
  • [tex]x = 6[/tex]

Lets try!

  • [tex]\:y = \frac{k}{x} \: \: ➡ \: \: \boxed{ k \ = yx}[/tex]
  • [tex]yx = - 18 \times 6 = \boxed{- 108}[/tex]

Equation is:

  • [tex] \boxed{y = {\frac{ - 108}{ \: x}}}[/tex]

When x = 5 then,

  • [tex]\huge{y = \frac{ - 108}{ \: 5}} [/tex]
  • [tex] \huge\boxed{y = - 21.6}[/tex]

______

#LetsStudy

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.