Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

M is directly proportional to r squared
When r= 2, M= 14
a) Work out the value of M when r= 12.
b) Work out the value of r when M = 224.

Sagot :

afiaboatemaa705

Step-by-step explanation:

[tex]m \alpha r ^{2} [/tex]

[tex]m = kr ^{2} [/tex]

[tex]14 = k \times 2 ^{2} [/tex]

[tex]14 = 4k[/tex]

[tex] \frac{14}{4} = k[/tex]

[tex]3.5 = k[/tex]

a.

[tex]m = kr ^{2} [/tex]

[tex]m = 3.5 \times 12^{2} [/tex]

[tex]m = 504[/tex]

b.

[tex]m = kr ^{2} [/tex]

[tex]224 = 3.5r ^{2} [/tex]

[tex] \frac{224}{3.5} = r ^{2} [/tex]

[tex]64 = r ^{2} [/tex]

[tex] \sqrt{64} = \sqrt {r}^{2} [/tex]

[tex]8 = r[/tex]

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. 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.