jacksonworthington05
jacksonworthington05 jacksonworthington05
  • 03-06-2021
  • Mathematics
contestada

Assume that y varies inversely with the
square of x, then solve.
When x is 5, y is 4/5. Find y when x is 8.

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 03-06-2021

Answer:

y = 5/16

Step-by-step explanation:

[tex]y\ \alpha\ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\y = \frac{4}{5}, x = 5.\\\\\frac{4}{5} = k \times \frac{1}{5^2}\\\\\frac{4}{5} \times 5^2 = k\\\\20 = k\\\\Now \ find\ y, \ when \ x = 8\\\\y = k \times \frac{1}{x^2} = 20 \times \frac{1}{8^2} = 20 \times \frac{1}{64} = \frac{5}{16}[/tex]

Answer Link

Otras preguntas

which priest wanted to convert Native Americans to Christianity
How do historians and learn about people who lived in the earliest historical eras.
the total resistance is an electrical circuit consisting of three heater elements is 14.7 ohms.the resistance of two heater elements are 5.57 ohms and 4.91 ohms
what is the commutative property of addition to rewrite 10+8=18 in a number sentence
write a real world situation that could be modelled by the equation 100-6x=160-10x
What does ¿El Día de San Valentín es el trece de enero? mean?
What is 247,009 rounded to the nearest thousand place
The four terrestrial planets that have solid, rocky surfaces are ?
what is 5/20 as in a percent
Scientists and historians believe that the time from prehistory to the development of agriculture spans more than two million years. a. True b. False