Answer:
sin⁴x - sin²x = cos⁴x - cos²x
Solve the right hand side of the equation
That's
sin⁴x - sin²x
<u>From trigonometric identities</u>
<h3>
sin²x = 1 - cos²x</h3>
So we have
sin⁴x - ( 1 - cos²x)
sin⁴x - 1 + cos²x
sin⁴x = ( sin²x)(sin²x)
That is
( sin²x)(sin²x)
So we have
( 1 - cos²x)(1 - cos²x) - 1 + cos²x
<u>Expand</u>
1 - cos²x - cos²x + cos⁴x - 1 + cos²x
1 - 2cos²x + cos⁴x - 1 + cos²x
<u>Group like terms</u>
That's
cos⁴x - 2cos²x + cos²x + 1 - 1
<u>Simplify</u>
We have the final answer as
<h3>cos⁴x - cos²x</h3>
So we have
<h3>cos⁴x - cos²x = cos⁴x - cos²x</h3>
Since the right hand side is equal to the left hand side the identity is true
Hope this helps you
Answer:
The answer is c :" Mary should isolate the x term because she can then simplify the remaining expression to solve for x."
Step-by-step explanation:
From the equation as written below,
(x-4)(x-1)= 60
the first step is expansion of the bracket, thus we have,
x2-4x-x+4=3(2)60
which equals
x2-5x+4=3(2)60
then the next step should be to isolate x terms to be on one side of the equation while she continues solving for x,
x2-5x= 3(2)60-4
This is because in such simple equations, x could only be found if all terms of x are isolated in one side of the equation before continuing other processes such as factorization,etc.
The key features of
polynomials are the vertex, axis of symmetry, x and y intercepts.
<span>1.
</span>The degree will help you find the end behavior.
<span>2. </span>The vertex shows you where it changes concavity.
<span>3. </span>X and y intercepts give you a couple of points
of reference.
<span>4. </span>Axis of symmetry is only applicable to even
degree polynomials.
I am hoping that these answers
have satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
Answer:
x=3 15/16 hours together
Step-by-step explanation:
the painter paints 1/7 of the house in 1 hour
the assistant paints 1/9 of the house in 1 hour
x=# of hours it takes them together to paint the house
(1/7)x+(1/9)x=1 (job finished)
multiply both sides by the LCM which is 63
63(1/7)x+63(1/9)x=63(1)
9x+7x=63
16x=63
x=63/16
x=3 15/16 hours together