1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Furkat [3]
2 years ago
8

I will give 5 points

Mathematics
1 answer:
ikadub [295]2 years ago
8 0

Use the sum of cubes factoring rule

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

to transform the left hand side into the right hand side.

\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\

\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

You might be interested in
I need help on this math
-BARSIC- [3]

Answer:

y = 2... Maybe

Step-by-step explanation:

both 7,2 and 2,12 have to in them but I am not that smart when it comes to explaining

7 0
3 years ago
Read 2 more answers
I need help how,did you get the answer and explain
Anna11 [10]
2. 4(0) - 20(0) < 6
(5/2 (0)) >/= 5(0) - 10 ; it is a solution

3. 2.5 + 5(-1.5) > -10
2.5 - (-1.5) </= 4 ; it is also a solution

x y
( 0 , 0 )
(2.5, -1.5)

Plug it in, plug it in
4 0
3 years ago
Solve for in x in <br>4+3 (2x-4)=28​
Goryan [66]

Answer: x=6

Step-by-step explanation:

Let's solve your equation step-by-step.

4+3(2x−4)=28

Step 1: Simplify both sides of the equation.

4+3(2x−4)=28

4+(3)(2x)+(3)(−4)=28(Distribute)

4+6x+−12=28

(6x)+(4+−12)=28(Combine Like Terms)

6x+−8=28

6x−8=28

Step 2: Add 8 to both sides.

6x−8+8=28+8

6x=36

Step 3: Divide both sides by 6.

6x

6

=

36

6

3 0
3 years ago
Read 2 more answers
How do you write 53.02 in two other forms
pentagon [3]
Percentages and fractions so if you had to write 45 as a percentage it would be 45% and if you had to write it as a fraction it would be 45/100. In this case, you have 53.02 so as a percentage it would be 53.02% and as a fraction it would be 53/100. Hope this helps!!
6 0
3 years ago
Simplify each expression by distributing and combined bf like terms (SHOW WORK) please
Dafna1 [17]

Answer:

c-39

1. rearrange terms

2.distribute

3.distribute

4. subtract the numbers

5. combine like terms

6.multiply by 1

8 0
3 years ago
Other questions:
  • What is 2,789 rouned to the neatest yen
    8·2 answers
  • Geometry math problem
    11·2 answers
  • 0+x=x name the property of the equation
    11·1 answer
  • Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving
    11·2 answers
  • PLEASE PLEASE PLEASE HELP, ILL GIVE 98 POINTS ( show your work)
    15·2 answers
  • Pls pls pls pls helppppp
    13·2 answers
  • Simplify please ......
    13·2 answers
  • What is the domain of the relation?
    13·1 answer
  • What is the LCD of 2/3,4/5,7/10 and ?
    7·2 answers
  • The point (5,-2) is a solution to this system 5x-y=27 -3x+4y=-23. true or false?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!