josieko2006 josieko2006
  • 20-11-2018
  • Mathematics
contestada

If y varies directly as x to the power of 2 and y=6 when x=6, find the constant of variation

Respuesta :

PauloL
PauloL PauloL
  • 20-11-2018

y = kx²


y = 6 when x = 6


6 = k.6²

6 = 36k

k = 6/36

k = 1/6


The constant variation is 1/6

Answer Link
apologiabiology
apologiabiology apologiabiology
  • 20-11-2018

y varies directly as xto the power of 2 means

[tex]\frac{y}{x^2}=k[/tex]

where k is constant of variation

when y=6 and x=6, find k

subsitute

[tex]\frac{6}{6^2}=k[/tex]

[tex]\frac{6}{36}=k[/tex]

[tex]\frac{1}[6}=k[/tex]


the constant of variation is [tex]\frac{1}{6}[/tex]


Answer Link

Otras preguntas

what is a sharp projecting edge of something?
Which sentence has a misplaced adjective clause?   A. Little Emily, whose parents claime
y=-3x+55x - 4y= -3solvining systems of equations by substitution
(12x³+3x²-108)÷ (3x-6) use long division to find the quotient below.
What did Robert e lee have to do with the civil war
really need help Eighty decreased by three times a number os the same as five times the number increased by eight find the number i am really confused
Lee and his family are planning a hiking trip on the Appalachian Trail. They are packing food in 2-lb bundles. How many bundles can they make with 36 lb of food
Which sentence has a misplaced adjective clause?   A. Little Emily, whose parents claime
how might a suit of armor be a good analogy for a function of the skeletal system
The volumes of two similar cones are 36π cm3 and 288π cm3. The base radius of the smaller cone is 3 cm. Calculate the base radius of the larger cone.