Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
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 are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.