3 years ago

Using radians, find the amplitude and period of each function.

Mathematics

1 answer:

ELEN [110]3 years ago

6 0

Go to Math Papa that'll give you the answers with the work shown and explanations.

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Step-by-step explanation:

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3 years ago

Find the equation of circle (5,1) diameter 4 square root 5

stepladder [879]

Answer:

$(x-5)^2+(y-1)^2=20$

Step-by-step explanation:

<u>Equation of a circle</u>

$(x-a)^2+(y-b)^2=r^2$

(where (a, b) is the center and r is the radius)

Given:

center = (5, 1)
diameter = 4√5

Diameter = 2r (where r is the radius)

⇒ r = 4√5 ÷ 2 = 2√5

Substituting these values into the equation:

$\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2$

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2 years ago

If y varies inversely as x and y= 2/5 when x= 2, find y when x= 1

Alik [6]

Answer:

y = 4/5

Step-by-step explanation:

Since, y varies inversely as x.

$\therefore \: y = \frac{k}{x} \\ (k = constant \: of \: proportionality) \\ \therefore \: xy = k...(1) \\ plug \: y = \frac{2}{5} \: and \: x = 2 \: in \: (1) \\ 2\times \frac{2}{5} = k \\ \implies \: k = \frac{4}{5} \\ substituting \: k= \frac{4}{5} \: in \: (1) \\ xy = \frac{4}{5} ..(2) \\ this \: i s \: the \: equation \: of \: variation \\ plug \: x = 1 \: in \: (2) \\ 1 \times y = \frac{4}{5} \\ \huge \red{ \boxed{y = \frac{4}{5} }}$

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3 years ago

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yes ,you are correct

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