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

Jack runs at an average speed of 4 miles for one hour. He then cycles 6 miles at 12 miles per hour. find his average speed for the whole journey.
solve the inequality 4(n-3)- 6 > 18
Please answer correctly!
The polynomial function with rational coefficients has roots of: –2, √3, and - √3. What is the equation? f(x)= _____ (x + 2)(x - 2)(x + √3) a (x + 2)(x +√3)
Please answer correctly!!!!
Youre a member of the republican party. You go to vote for the party nominee for president. On your ballot are candidates for both domocratic and republican nom
When the polynomial is written in standard form, what are the values of the leading coefficient and the constant 5x + 2 - 3x^2
What is the slope of the linear model y=3.0-14
Which term describes the slope of the graph of song 1 between minute 3 and minute 4
What is the equation?