Seudónimo Seudónimo
  • 25-11-2019
  • Mathematics
contestada

if y varies inversely as x² and x varies directly as z. find the relationship connecting y and z if c is a constant​

Respuesta :

znk
znk znk
  • 25-11-2019

Answer:

y = c/z²  

Step-by-step explanation:

(1) y ∝ 1/x²or

   y = a/x² where a is a constant

   x ∝ z or x = bz, where b is a constant

Substitute x into (1)

y ∝ a/(bz)² = a/(b²z²) = (a/b²)/z²

a is a constant and b is a constant, so a/b² is a constant.

Let c = a/b². Then

y = c/z²

Answer Link

Otras preguntas

it takes Lara 1/3 hour to walk to the library 3/4 mile away. What is her walking pace?
An oxide of phosphorus contains 56.4% phosphorus and 43.6% oxygen. It's relative molecular mass is 220. Find both the empirical and the molecular formula of the
Microsoft, after a banner year, gives its 1,600 lead programmer employees an $8,000 bonus. What will be the change in the standard deviation of the employees' i
Which of these shows a reflection between Graph A and Graph B?
2.To what common objects would the scaled Sun and planets be similar in size? (Hint: You might want to convert the meters to inches if it helps you visualize th
A legally recognized member of a country is called a(n) ____.
How might critical thinking be applied to the issue of global climate change?
The number on a number line that represents a point is called its _____________. Is it coordinate?
What are note cards used for?
You have three molecules of sodium bicarbonate (formula: 3 NaHCO3). Which of the following is true? A. The number of sodium atoms (Na) equals the number o