Johnryanvsilvinoidn
Answered

Tuklasin kung paano ka matutulungan ng IDNStudy.com na makuha ang mga sagot na kailangan mo. Tuklasin ang mga kumpletong sagot sa iyong mga tanong mula sa aming komunidad ng mga eksperto.

If a varies inversely as b, and a = ⅓ when b = 12, find a when b = -8.​

If A Varies Inversely As B And A When B 12 Find A When B 8 class=

Sagot :

BinibiningDelidn

Inverse Variation

If a varies inversely as b, and a = ⅓ when b = 12, find a when b = -8.

[tex]\:[/tex]

Equation of variation: [tex]\tt \Large \blue{\bold{a = \frac{k}{b}}}[/tex]

Constant of variation: [tex]\tt \Large \green{\bold{k = ab}}[/tex]

[tex]\:[/tex]

Solve for k.

[tex]\tt \Large \rightarrow \green{\bold{k = ab}}[/tex]

[tex]\tt \Large \rightarrow k = \frac{1}{3} \times 12[/tex]

[tex]\tt \Large \rightarrow k = \frac{1 \times 12}{3}[/tex]

[tex]\tt \Large \rightarrow k = \frac{12}{3}[/tex]

[tex]\tt \Large \rightarrow \green{\bold{k = 4}}[/tex]

[tex]\:[/tex]

Find a when b = -8.

[tex]\tt \Large \rightarrow \blue{\bold{a = \frac{k}{b}}}[/tex]

[tex]\tt \Large \rightarrow a = \frac{4}{-8}[/tex]

[tex]\tt \Large \rightarrow a = -\frac{4}{8}[/tex]

[tex]\tt \Large \rightarrow \purple{\bold{a = -\frac{1}{2}}}[/tex]

[tex]\:[/tex]

Answer:

b. [tex]\tt \Large \purple{\bold{-\frac{1}{2}}}[/tex]

[tex]\:[/tex]

#CarryOnLearning