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
docker41 [41]
3 years ago
15

Using the difference in perfect squares completely factor the binomial x^2-121

Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0

Answer:

unditified?

Step-by-step explanation:

You might be interested in
A norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. Find the dimensions of a norman
Yanka [14]

Answer:

W\approx 8.72 and L\approx 15.57.

Step-by-step explanation:

Please find the attachment.

We have been given that a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. The total perimeter is 38 feet.

The perimeter of the window will be equal to three sides of rectangle plus half the perimeter of circle. We can represent our given information in an equation as:

2L+W+\frac{1}{2}(2\pi r)=38

We can see that diameter of semicircle is W. We know that diameter is twice the radius, so we will get:

2L+W+\frac{1}{2}(2r\pi)=38

2L+W+\frac{\pi}{2}W=38

Let us find area of window equation as:

\text{Area}=W\cdot L+\frac{1}{2}(\pi r^2)

\text{Area}=W\cdot L+\frac{1}{2}(\pi (\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W^2}{4})

\text{Area}=W\cdot L+\frac{\pi}{8}W^2

Now, we will solve for L is terms W from perimeter equation as:

L=38-(W+\frac{\pi }{2}W)

Substitute this value in area equation:

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2

Since we need the area of window to maximize, so we need to optimize area equation.

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2  

A=38W-W^2-\frac{\pi }{2}W^2+\frac{\pi}{8}W^2  

Let us find derivative of area equation as:

A'=38-2W-\frac{2\pi }{2}W+\frac{2\pi}{8}W  

A'=38-2W-\pi W+\frac{\pi}{4}W    

A'=38-2W-\frac{4\pi W}{4}+\frac{\pi}{4}W

A'=38-2W-\frac{3\pi W}{4}

To find maxima, we will equate first derivative equal to 0 as:

38-2W-\frac{3\pi W}{4}=0

-2W-\frac{3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}*4=-38*4

-8W-3\pi W=-152

8W+3\pi W=152

W(8+3\pi)=152

W=\frac{152}{8+3\pi}

W=8.723210

W\approx 8.72

Upon substituting W=8.723210 in equation L=38-(W+\frac{\pi }{2}W), we will get:

L=38-(8.723210+\frac{\pi }{2}8.723210)

L=38-(8.723210+\frac{8.723210\pi }{2})

L=38-(8.723210+\frac{27.40477245}{2})

L=38-(8.723210+13.70238622)

L=38-(22.42559622)

L=15.57440378

L\approx 15.57

Therefore, the dimensions of the window that will maximize the area would be W\approx 8.72 and L\approx 15.57.

8 0
3 years ago
Help please!!!! Best answers!!
Snezhnost [94]
A Probability near 1 Indicates an Unlikely Event . I'm Guessing
8 0
3 years ago
Read 2 more answers
PLZ HELP WILL MAKR BRAINLIEST
lions [1.4K]

Answer:

It will be 0.2

Step-by-step explanation:

Hope this Helped

5 0
3 years ago
F(x) =2x^2+12x-6 Does this function have a minimum or maximum value? What is this minimum or maximum value?
Alex777 [14]

Let's compare the given function with the model for a quadratic equation:

\begin{gathered} f(x)=ax^2+bx+b \\ a=2,b=12,c=-6 \end{gathered}

Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.

The minimum value can be found calculating the y-coordinate of the vertex:

\begin{gathered} x_v=-\frac{b}{2a}=-\frac{12}{4}=-3 \\  \\ y_v=2\cdot(-3)^2+12\cdot(-3)-6 \\ y_v=2\cdot9-36-6^{} \\ y_v=-24 \end{gathered}

Therefore the minimum value is -24.

4 0
1 year ago
What is the area of the sector formed by RAP? The radius is 10 inches.
irina1246 [14]

Answer:

≈ 39.3 in²

Step-by-step explanation:

The area of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{45}{360}

  = π × 10² × \frac{1}{8}

  = \frac{100\pi }{8} ≈ 39.3 in² ( to 1 dec. place )

3 0
3 years ago
Other questions:
  • Louise has 15 cats and 10 dogs. What is 1/3 as many cats as dogs?
    8·1 answer
  • Please help me!!!!!! <br><br>What is the measure of angle Z?<br><br>​
    8·1 answer
  • Will mark brainliest and thank you!! Extra points!!
    8·1 answer
  • A robot can complete 5 tasks in 3/4 hour each task takes the same amount of time a. how long does it take the robot to complete
    9·2 answers
  • Photo attached! 10 points! Thank you in advance!!
    15·2 answers
  • A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equat
    11·1 answer
  • 4x^3(5x) = what,<br> will mark brainliest
    12·2 answers
  • For the equation
    5·1 answer
  • Brainliestis there is steps What is the solution to the equation log⁡〖 (2x+4)〗=2 ? Round to the nearest hundredth, if necessary.
    13·1 answer
  • -4/9f = -3<br><br>Solve for F​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!