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3 years ago

HELP/WILL REWARD!!!!!!!

Mathematics

1 answer:

SOVA2 [1]3 years ago

8 0

Reflection across the x-axis followed by a reflection across the y-axis.

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78% of the class completed their homework last night. What fraction of the class completed their homework?

mixas84 [53]

Answer:

$\frac{39}{50}$

Step-by-step explanation:

=> 78% makes:

=> $\frac{78}{100}$

In simplest form:

=> $\frac{39}{50}$

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3 years ago

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Solve for c. a(b − c)=d Attachment added

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3 years ago

The expression (y11)(y2)8 is equivalent to yx. What is the value of x?

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3 years ago

The sum of the measures of the interior angles of a triangle is 180 degrees.

Arlecino [84]

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3 years ago

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Prove that if sin (2 + y) = 3 sin (x - y), then tan x = 2 tany.

nignag [31]

Answer:

The proof is given below.

Step-by-step explanation:

Given: ( the correct question and ans is as follow )

sin (x + y) = 3sin ( x - y)

To Prove

tan x = 2 tan y

Proof:

$\sin (x+y) = 3\sin (x-y)$

Using the identities

$\sin (A+B) = \sin A.\cos B + \cos A.\sin B\\and\\\sin (A-B) = \sin A.\cos B - \cos A.\sin B\\$

we get

$\sin x.\cos y + \cos x.\sin y = 3(\sin x.\cos y - \cos x.\sin y)\\\sin x.\cos y + \cos x.\sin y = 3\sin x.\cos y - 3\cos x.\sin y$

Now we will take sin x . cos y to the left hand side and cos x . sin y to the right hand side,we get

$3\sin x.\cos y - \sin x.\cos y = 3\cos x.\sin y +\cos x.\sin y\\2\sin x.\cos y =4\cos x.\sin y\\\sin x.\cos y =2\cos x.\sin y \ \textrm{4 divide by 2}\\ \frac{\sin x}{\cos x} =2\times \frac{\sin y}{\cos y} \\\textrm{we know identity }\\\frac{\sin x}{\cos x} = \tan x\\\frac{\sin y}{\cos y} = \tan y\\\therefore \tan x = 2\tan y\ ...............{PROVED}$

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4 years ago