cgmiller111400 cgmiller111400
  • 01-04-2020
  • Mathematics
contestada

z is jointly proportional to x^2 and y^2. If z=379 when x=7 and y=5, find z when x=6 and y=4

Respuesta :

Favouredlyf Favouredlyf
  • 02-04-2020

Answer:

Step-by-step explanation:

When two quantities are directly proportional, an increase in one quantity results to a corresponding in the other quantity.

Given that Z is jointly proportional to x² and y², if we introduce a constant of proportionality, k, the expression becomes

z = kx²y²

If z = 379 when x = 7 and y = 5, then

379 = k × 7² × 5² = 1225

k = 379/1225

Therefore, the joint proportionality function is

z = 379x²y²/1225

when x = 6 and y = 4, then

z = 379 × 6² × 4²/1225

z = 218304/1225

z = 178.2

Answer Link

Otras preguntas

Create a histogram with five intervals from this data set: 21, 37, 56, 87, 32, 45, 77, 71, 65, 67, 21, 34
(I'm not asking you to do this for me, But just help me with a bit of information) An important peace-time application of the fission process has been the use o
explain how 7.69 * 15.3 = 117.657
A triangle has a perimeter of 33cm. If the three sides of the triangle are n, 3n−4, and 3n−5, what is the length of each side?
What’s the correct answer
Write a personal letter ?
Solve by substitution x-2y= -25 and 3x-y=0
Which disorder includes depression and bipolar disorder
the international space station (iss) became a permanent research center in space. how was this an example of globalization?
Why did Chinese and Iberian mariners want to establish a presence in the Indian Ocean during the fifteenth century?