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3 years ago

If a/b = c/d, then ad = bc.

Mathematics

1 answer:

Nikolay [14]3 years ago

7 0

Answer:

The statement is true

see the explanation

Step-by-step explanation:

we have the proportion

$\frac{a}{b}=\frac{c}{d}$

we know that

To solve the proportion multiply in cross

$(a)(d)=(b)(c)$

$ad=bc$

therefore

The statement is true

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Xy′ = √(1 − y2 ), y(1) = 0

Ulleksa [173]

Answer:

The particular solution is $y=\sin (\ln|x|)$ .

Step-by-step explanation:

The given differential equation is

$xy'=\sqrt {1-y^2}$

It can be written as

$x\frac{dy}{dx}=\sqrt {1-y^2}$

Use variable separable method to solve the above equation.

$\frac{dy}{\sqrt {1-y^2}}=\frac{1}{x}dx$

Integrate both sides.

$\int \frac{dy}{\sqrt {1-y^2}}=\int \frac{1}{x}dx$

$\sin^{-1} y=\ln|x|+C$ .... (1)

It is given that y(1)=0. It means y=0 at x=1.

$\sin (0)=\ln|1|+C$

$0=0+C$

$0=C$

The value of constant is 0.

Substitute C=0 in equation (1) to find The required equation.

$\sin^{-1} y=\ln|x|+0$

Taking sin both sides.

$y=\sin (\ln|x|)$

Therefore the particular solution is $y=\sin (\ln|x|)$ .

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3 years ago

Jesse borrowed $350 from his mom to buy an electric scooter, Jesse will pay her

mash [69]

Answer:

the answer is C

350×3% =10.5

ans×5=21

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3 years ago

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HELPP!! PLEASE ITS DUE SOON

Debora [2.8K]

Answer:

100%

Step-by-step explanation:

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3 years ago

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Given the midpoint (1.5,1.5) and the endpoint (5,7) where is the other endpoint located

earnstyle [38]

The formula of a midpoint:

$M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)$

We have:

$M(1.5,\ 1.5)\to x_M=1.5,\ y_M=1.5\\A(5,\ 7)\to x_A=5,\ y_A=7$

Substitute

$\dfrac{5+x_B}{2}=1.5\qquad|\cdot2\\\\5+x_B=3\qquad|-5\\\\x_B=-2\\\\\dfrac{7+y_B}{2}=1.5\qquad|\cdot2\\\\7+y_B=3\qquad|-7\\\\y_B=-4$

<h3>Answer: (-2, -4)</h3>

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3 years ago

Show that the two figures are similar by identifying a sequence of translations, rotations, reflections, and dilations that take

never [62]

1st) reflection over the point G

2nd) a dilation of 1/2 with fixed point G

3rd) a traslation 2 units left and 4 units up

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1 year ago

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