a) Find the volume of the shaded figure by subtracting the smaller volume from the larger. The formula for the volume of a rectangular solid is V= lwh. b) Write the expression obtained in part a) in factored form. b. 2a a) The volume of the shaded region is 8a a-8ab (Do not factor.) b) in factored form, the volume is 8a(a - b)(a + b)

a) Find the volume of the shaded figure by subtracting the smaller volume from the larger. The formula for the volume of a rectangular solid is V= lwh. b) Write the expression obtained in part a) in factored form. b. 2a a) The volume of the shaded region is 8a a-8ab (Do not factor.) b) in factored form, the volume is 8a(a - b)(a + b)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Suppose you want to build a rectangular deck in your back yard. You want it to be 6 meters wide and…

A: topic - area of rectangle

Q: The space within a one mile racetrack consists of a rectangle with a semicircle at each end. To make…

Q: Length and breadth of a rectangular paper are 22 cm and 10 cm respectively . Find the area of the…

A: In a rectangle, let l be the length and b be the breadth. l=22 cm b=10 cm The formula is Area(A)= l…

Q: This cone has a height of 27 centimeters and a dlameter of 32 centimeters. What Is the volume, In…

Q: 2h B. For the figure shown below, find the sum of the areas of all the semicircles.

A: Draw a schematic diagram of given figure.

Q: Determine (a) the area and (b) the perimeter of the quadrilateral. 9 ft3 yd A…

Q: The algebra method of FOIL multiplication is illustrated geometrically in the drawing. Use the…

A: The area of the rectangle A=lw unit2 where l is the length of the rectangle and w is the width of…

Q: 4 feet Lakeview Middle School is making a flowerbed in the pattern shown. The flowerbed consists of…

Q: bouquet of flowers weighs approximately 4.3 × 104 milligrams. The bouquet has two daisies, each…

A: A bouquet of flowers weighs approximately 4.3 × 104 milligrams. The bouquet has two daisies, each…

Q: 2) A rectangular prism has a length of 2mn² feet, a width of 3n feet, and a height of 4m° feet.…

A: Given length =2mn2 feet width = 3n4feet height=4m6feet volume of the rectangular prism

Q: If a garden plot has the dimensions shown below, write an expression to represent its total area.…

Q: The question is in the picture.

A: Consider the figure of original rectangle:

Q: In the diagram below of rectangle AFEB and a semicircle with diameter CD, AB = 5 inches, AB = BC =…

Q: A rectangular room is 35 square feet in area. If the room is 2 feet longer than it is wide, what are…

Q: The dimensions of an 8-foot by 12-foot bridge support need to be tripled to create a revised bridge…

Question

Extra Credit
Hb My Grades - MATH1314.2021091 X
A mathxl.com/Student/PlayerTest.aspx?historyid=96478_T_16275
E VA Examinee Portal...
OTC Favorites
E Qtc Medical Examin...
: Apps
MATH1314 - TD010 - September 13, 2021
E Test: Chapters P and 1 Extra Credit
a) Find the volume of the shaded figure by subtracting the
smaller volume from the larger. The formula for the volume of
a rectangular solid is V = Iwh.
b) Write the expression obtained in part a) in factored form.
a
b.
2a
a) The volume of the shaded region is 8a a - 8ab
(Do not factor.)
b) In factored form, the volume is 8a(a - b)(a + b)
2 Type here to search

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

What is the problem? Jade hides his brother's toy car by dividing it into 3 parts. He hides the tires at (-3,-2), steering wheel at (-3,3) and seats at (3,3). He asks his brother to find the car parts by providing clues. a) What is the distance from the steering wheel to the seats? b) What shape do these locations form? Find the area of the figure. 5 (-3,3) (3,3) 5 4 3 11 이 (3,-2
There are four primary strategies for determining the area of two-dimensional figures and shapes. Explain each strategy. Use an example for each. a. counting square units b. subdividing the shape into pieces, finding the areas of the pieces and adding the areas together c. enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting d. using a formula.
Classify the following polygon: A (-1, 7), B (5,5), C( 2 , -4), D (-4,-2) I: (-1.00, 7:00) J: (5.00, 5.00) H: (-4.00, –2.00) K: (2.00, –4.00)
Elementary school students were given a geometry assignment they were to measure the area of several rectangles to measure the diagonal of the rectangle as shown on the table.
Directions: Select ALL the correct answers. Dr. Thomas was conducting an experiment in the chemistry lab. The borosilicate round bottom flask was half- filled with solution. Sarah and her classmates observed the change in the solution as it was heated in the flask. Which of the following shapes will help model the volume of the round bottom flask? O hemisphere circle H1 in- cone cylinder 12 in sphere rectangle Directions: Type the correct answer in each box. Use numerals instead of words. 8 in- If the flask was completely filled with solution and the the density of the solution is Ib. Round the answer to the 0.038 lb/in, then the mass of the solution is %3D nearest hundredth. (Use TT = 3.14) Reset Next Question
A container of yogurt has the shape of a frustum of a cone. With the lower base having diameter length 6 cm and the upper base having diameter length 8 cm, the volume of such a container 5.75 cm tall can be determined by using H = 23 cm and h = 17.25 cm. Find its volume (in cubic centimeters) using the formula V =R²H - ²h. Similar triangles were used to find h and H. (Use your calculator value of T. Round your answer to two decimal places.) 3 cm ³ V =
A rectangular prism has a length of 6 + 2√3 cm, a width of 2√2 cm and a height of 6 − 2√3. Write and simplify an expression for the surface area of the prism in simplest radical form.
Dan has an empty can with a diameter of 8 cm and a height of 12 cm, as shown below. V = Tr²h %3D 8 cm 12 cm
Find the dimensions of the rectangular dog park producing the greatest enclosed area given 260 feet of fencing. The dimensions of each pen will be feet by feet Enter an integer or decimal number [more..]
Baldur is going to make a box, without a lid, from a sheet that is 5 cm wide and 10 cm long, see the picture below (the proportions in the picture are not correct). Note that the box should be open at the top. Baldur is going to make the box by cutting out a square from the four corners and then folding up the sides. Call the side lengths of the squares that Baldur cuts out x. 5 сm 10 сm a) Set up an equation for the volume of the box as a function of x, specify what value x can take (in what interval can x lie)? b) If Baldur wants to maximize the volume of the box, what is the side length of the squares that Baldur is to cut out, i.e. what is the value of x?