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
attashe74 [19]
3 years ago
10

Simplify (x2 16)(x2-16)? A. x4- 256 B. x256 C. x432 D. x4-32

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0
(x² + 16)(x² - 16)
= (x²)² - 16²
= x⁴ - 256
You might be interested in
Please show work for both problems
kirill [66]

Answer:

3)  x = 15; 95 and 85      4)  x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180       Set the equations equal to 180

5x + 105 = 180                      Combine like terms

     - 105  - 105                      Subtract 105 from both sides

5x = 75                                  Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4)  5x + 38 = 9x - 10             Set the equations equal to each other

  - 5x          - 5x                    Subtract 5x from both sides

 38 = 4x - 10

+ 10       + 10                         Add 10 to both sides

48 = 4x                                  Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

6 0
2 years ago
How do i solve -2y=8
Viefleur [7K]
If you're trying to solve for y
-2y = 8
Divide -2 to both sides
\frac{-2y}{-2} =  \frac{8}{-2}
Cancel out the -2 on the left, Divide the -2 to the 8 on the right so
y = -4
4 0
3 years ago
Read 2 more answers
Plases help<br> Determine the number of solutions of each system of equations.
koban [17]

Answer:

Step-by-step explanation:

this is the same equation, the system has infinitely many solutions

5 0
2 years ago
Complete the square x^2-10=16<br><br>​
Hatshy [7]

Answer:

(x - 5)² = 41

Step-by-step explanation:

* Lets revise the completing square form

- the form x² ± bx + c is a completing square if it can be put in the form

 (x ± h)² , where b = 2h and c = h²

# The completing square is x² ± bx + c = (x ± h)²

# Remember c must be positive because it is = h²

* Lets use this form to solve the problem

∵ x² - 10x = 16

- Lets equate 2h by -10

∵ 2h = -10 ⇒ divide both sides by 2

∴ h = -5

∴ h² = (-5)² = 25

∵ c = h²

∴ c = 25

- The completing square is x² - 10x + 25

∵ The equation is x² - 10x = 16

- We will add 25 and subtract 25 to the equation to make the

 completing square without change the terms of the equation

∴ x² - 10x + 25 - 25 = 16

∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides

∴ (x² - 10x + 25) = 41

* Use the rule of the completing square above

- Let (x² - 10x + 25) = (x - 5)²

∴ (x - 5)² = 41

3 0
3 years ago
Find the distance from the origin to the graph of 7x+9y+11=0
Cerrena [4.2K]
One way to do it is with calculus. The distance between any point (x,y)=\left(x,-\dfrac{7x+11}9\right) on the line to the origin is given by

d(x)=\sqrt{x^2+\left(-\dfrac{7x+11}9\right)^2}=\dfrac{\sqrt{130x^2+154x+121}}9

Now, both d(x) and d(x)^2 attain their respective extrema at the same critical points, so we can work with the latter and apply the derivative test to that.

d(x)^2=\dfrac{130x^2+154x+121}{81}\implies\dfrac{\mathrm dd(x)^2}{\mathrm dx}=\dfrac{260}{81}x+\dfrac{154}{81}

Solving for (d(x)^2)'=0, you find a critical point of x=-\dfrac{77}{130}.

Next, check the concavity of the squared distance to verify that a minimum occurs at this value. If the second derivative is positive, then the critical point is the site of a minimum.

You have

\dfrac{\mathrm d^2d(x)^2}{\mathrm dx^2}=\dfrac{260}{81}>0

so indeed, a minimum occurs at x=-\dfrac{77}{130}.

The minimum distance is then

d\left(-\dfrac{77}{130}\right)=\dfrac{11}{\sqrt{130}}
4 0
3 years ago
Other questions:
  • How do I solve this using the system of equations?
    15·1 answer
  • Does the parabola with equation x2– x + 6 = 0 have real or imaginary roots?
    8·1 answer
  • for the past hour, olive observed the license plates of the cars passing by her house. she saw 120 from new york, 355 from new j
    7·1 answer
  • What is -6 divided by -7
    15·2 answers
  • Find all complex number solutions of x^5-1=0
    7·1 answer
  • Divide and simplify. (Type a whole number or a simplified​ fraction.)<br> 15/16 divided by 3/14
    11·2 answers
  • Question / Of 9
    11·1 answer
  • X/7=3/2 solve equation, check solution<br>​
    12·1 answer
  • PLEASE HELP
    10·1 answer
  • Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negati
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!