Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
y = 360
Step-by-step explanation:
Given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion
To find k use the condition y = 10 when x = 3 , then
10 = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )
90 = k
y = [tex]\frac{90}{x^2}[/tex] ← equation of proportion
When x = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{90}{(\frac{1}{2})^2 }[/tex] = [tex]\frac{90}{\frac{1}{4} }[/tex] = 90 × 4 = 360
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
