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3 years ago

Factor 5ab2c11 + 2bc5

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

Answer:

Step-by-step explanation:

5ab×2c×11 + 2bc×5

multiply the numbers

110abc+2ab×5

110abc+10ab

factor out 10ab from the expression

10ab×(11c+1)

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Determine the correct scientific notation form of the number. 327,000,000,000

I am Lyosha [343]

Answer:

B. 3.27 x 10^11.

Step-by-step explanation:

There are 11 digits after the first one, so it is

3.27 x 10^11.

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3 years ago

Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.

Neko [114]

Answer:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

3 0

4 years ago

Read 2 more answers

What is true about any point on a coordinate plane with a negative x-coordinate and a y-coordinate that is not zero?

Ivenika [448]

It will always be on the first or third quartile of the graph, or the point will always be on the “left side” of the graph. Brainliest answer?;)

8 0

3 years ago

Which of the following fractions is equivalent to 75%

Verdich [7]

Answer:

Where are the fractions?

Step-by-step explanation:

There's 3/4, 9/12, 27/36, etc

8 0

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

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

7 0

4 years ago