Answered

Sumali sa IDNStudy.com para sa detalyadong mga sagot sa iyong mga tanong. Tuklasin ang mga maaasahang impormasyon sa anumang paksa sa pamamagitan ng aming network ng bihasang mga propesyonal.

2. if m varies directly as the Square of n and m-72 when n=6, find m when n=8 equation​

Sagot :

NataleighScottlynidn

Problem:

If m varies directly as the square of n and m = 72 when n = 6, find m when n = 8.

Solution:

A direct variation is a relationship between two variables, x and y, that can be written as y = kx where k ≠ 0.

The statement, "m varies directly as the square of n" translated into directly variation is m = kn² where k is the constant of variation.

Solve if m is 72 and n is 6. So, find the constant using the equation of a combined variation.

  • m = kn²
  • (72) = k(6)²
  • 72 = k(36)
  • 72 = 36k
  • 36k/36 = 72/36
  • k = 2

The constant of the variation is 2. In equation of variation.

  • m = 2n²

Find m when n is 8. Substitute the equation using the constant of the variation that you obtained.

  • m = 2n²
  • m = 2(8)²
  • m = 2(64)
  • m = 128

Answer:

∴ Therefore, the value of m is 128 to the directly variation.

#CarryOnLearning

Salamat sa iyong kontribusyon. Patuloy na magbahagi ng iyong karanasan at kaalaman. Ang iyong ambag ay napakahalaga sa aming komunidad. Ang IDNStudy.com ay nangako na sasagutin ang lahat ng iyong mga tanong. Salamat at bisitahin kami palagi.