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

[tex]y = x + 2 \\ y = 3x - 2[/tex]​
The Bill of Rights were ratified and added to the constitution in which year?
a grocer sells rice at a profit of 20% and uses a weight which is 25% less. find his overall percentage gain​
The ratio of boys to girls in Ms. Cunningham's class is 2 to 3. There are 18 girls in the class. What is the total number of students in Ms. Cunningham's class?
Individual sports are different from team sports in that they require an internal focus and dialogue. Please select the best answer from the choices provided
Which of the following sentences would be a good thesis statement for a personal essay ?
How do you do this 4(4-4v)=48
42x5y4=(-7x3y)(B) B =
Which of the following sentences would most likely come LAST in a paragraph? A. More men died at Gettysburg than in any other battle before or since on North
Where is exponential growth happening in the graph?