Factor c^3+64?? Help me

1 answer:

4 0

Your answer will be:

<span>ANSWER: (c + 4) (c^2 - 4c + 16)

</span><span>#1. Apply sum of cubes rule.
#2. Refine.
</span>

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How are the two angles the same?

tino4ka555 [31]

Answer:

if ABCD is a rhombus then the diagonal of rhombus bisect it into two equal triangles.

Step-by-step explanation:

In triangles ABC and CDA,

AB= CD (S) because rhombus has equal sides.
BC = AD (S) as as reason 1.
AC= AC (S) being common side of both triangles

so the triangles are congruent to each other by S.S.S. fact/ axiom

8 0

3 years ago

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

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