Mathematics College

Find the square
(8m + 7)^2

Find The Square(8m + 7)^2

Answers

Answer 1

Answer:

(8m + 7)^2 = 64m^2 + 112m + 49

(8m)^2 = 64m^2

2(8m)(7) = 112m

7^2 = 49

Answer 2
Expanding the expression (8m + 7)^2 using the square of a binomial formula, we get:

(8m + 7)^2 = (8m)^2 + 2(8m)(7) + 7^2
= 64m^2 + 112m + 49

Therefore, the answer is 64m^2 + 112m + 49.

Related Questions

The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of printed material on the poster is fixed at 380 square centimeters, find the dimensions of the poster with the smallest area.

Width =

Height =

Answers

Let's denote the width of the printed material on the poster as "x" cm and the height as "y" cm.

According to the given information, the top and bottom margins are each 6 cm, and the side margins are each 8 cm. This means that the actual width of the entire poster, including the margins, is "x + 2(8)" cm, and the actual height, including the margins, is "y + 2(6)" cm.

Given that the area of the printed material on the poster is fixed at 380 square centimeters, we can set up the following equation:

Actual Area of Poster = Area of Printed Material on Poster

(x + 2(8))(y + 2(6)) = 380

(x + 16)(y + 12) = 380

To find the dimensions of the poster with the smallest area, we need to minimize the product (x + 16)(y + 12).

Since the given area of the printed material on the poster is fixed at 380 square centimeters, the actual area of the entire poster, including the margins, will be minimized when (x + 16)(y + 12) is minimized.

To minimize the product (x + 16)(y + 12), we need to minimize both x + 16 and y + 12, as they are both positive quantities.

Since x and y represent the width and height of the printed material on the poster, respectively, the smallest possible values for x + 16 and y + 12 would be 0, which means x = -16 and y = -12. However, since width and height cannot be negative, we need to find the next best option.

The smallest possible values for x + 16 and y + 12 that are greater than or equal to 0 would be when x = 0 and y = 0. This means that the width of the printed material on the poster should be 0 cm and the height should be 0 cm, which would make the dimensions of the poster with the smallest area:

Width = 0 cm

Height = 0 cm

However, please note that this would mean there is no printed material on the poster, as the width and height are both 0. If you want to have a non-zero width and height for the printed material on the poster, you would need to adjust the given area of the printed material on the poster accordingly.

Adjacent angles. View the photo ccd

Answers

Answer: ∠DEA

Step-by-step explanation:

Starting Angle: ∠FBG

Adjacent (SAME) Angle: ∠DEA

DEA Is the correct answer

ASAP Dr. Rollins is both an anthropologist and archeologist. While excavating some ruins in South America, he discovered a scale drawing of a replica of a Mayan pyramid.
-The scale for the drawing to the replica was 1 inch : 2 feet.
- The scale for the replica to the actual pyramid was 1 foot : 14 feet.

If the height of the pyramid on the drawing was 3 1/2 inches, what was the height of the actual pyramid?

A. 98 feet
B. 49 feet
C. 91 feet
D. 196 feet

Answers

The height of the actual pyramid is 98 feet.

How to determine the height of the actual pyramid?

To determine the height of the actual pyramid, we need to use both scales and convert the measurements.

First, let's convert the height of the drawing to the height of the replica,

1 inch : 2 feet (scale for drawing to replica)

[tex]3 \frac{1}{2} \: inches[/tex] = 7 feet (height of the replica)

Next, let's convert the height of the replica to the height of the actual pyramid:

1 foot : 14 feet (scale for replica to actual)

7 feet = 7 x 14 = 98 feet (height of the actual pyramid)

Therefore, the height of the actual pyramid is 98 feet, so the answer is A) 98 feet.

Learn more about pyramid here,

https://brainly.com/question/218706

#SPJ1

4) Construct the truth tables for the following
(a) pV r
​

Answers

The truth tables for the logic expression is

p   q   p v q

F   F      F

F   T     T

T   F     T

T  T     T

Constructing the truth tables for the logic expression

From the question, we have the following parameters that can be used in our computation:

p v r

The expression is pronounced p or r

The rule of the truth table is

The expression is true if any of p or q is trueThe expression is false if both p and q are false

Using the above as a guide, we have the following truth tables

p   q   p v q

F   F      F

F   T     T

T   F     T

T  T     T

The above represents the truth tables for the logic expression

Read more about logic expression at

https://brainly.com/question/14458200

#SPJ1

Other Questions
Lee, a minor, enters into a contract to buy a dirt bike from Motor Bikes & Cycles. Lee can ordinarily disaffirm the contractA) in a timely manner.B) at any time during minority.C) for a reasonable time after coming of age.D) all of the choices. AAyer fui a las tiendas de la Recoleta. Ped a la dependientavestido deenter answercomprarlo. La dependienta tambin mepero noenter answer. El vestido me25 por ciento... Fue unaenter answer! Pagu enenter answergracias a la dependienta, y sal de la tienda.enter answerenter answercon el vestido. El precio del vestidodivinamente y quiseununa bufanda de lunaresenter answer, le dijeenter answera Using the information in Exhibit 16-2, the natural rate of unemployment is approximately(a) 2.8 percent.(b) 10.3 percent.(c) 11.7 percent.(d) 21.5 percent. an inductor used in a dc power supply has an inductance of 11.5 h and a resistance of 130.0 . it carries a current of 0.300 a.(A). What is the energy stored in the magnetic field?(B). At what rate is thermal energy developed in the inductor?(C). Does your answer to part B mean that the magnetic field energy is decreasing with time?(i) No. The rate of thermal energy development is zero(ii) Yes. The rate of thermal energy development is not zero.(iiI) No. Energy does not come from the energy stored in the inductor(iv) Yes. Energy comes from the energy stored in the inductorthe Hooke's law interaction of the spring and the mass. how might you better design a study to determine what is the most effective way to increase sit-and-reach scores? Write the equations in cylindrical coordinates.(a) 2x^(2) 4x + 2y^(2) + z^(2) = 9(b) z = 5x^(2) 5y^(2) when one of the ions of the compound is already present in solution, its concentration at equilibrium will be higher, therefore making ksp larger.True False Step 3: Find how many 13 segments fit in 53. for the same system as above, how many page table entries are needed for the virtual memory subsystem? -2a^(6)-8a^(3)b-8b^(2) write as a product in 15 years, we want to take a cruise to london. we estimate the cost will be $45,000. how much do we need to invest today if we earn: 4ompounded semi annually Bosses with psychopathic tendencies: appreciate followers who are active. are remorseless about the use of others. spend too much time promoting others. dread or fear giving feedback to followers. Which of the following is true of destructive bosses? They can cause social and psychological harm to their employees. They use rational persuasion to when trying to manage down. They spend too much time promoting others. They dread or fear giving feedback to followers. example of meta ethics Alisa has started a program to enrich the jobs of the members of her staff by adding a greater variety of tasks to each job. She is using the technique of job enlargement. a.True b.False the goal for this programming project is to create a simple 2d predatorprey simulation. in this simulation, the prey is a HELP ASAP You and a friend are all alone when the friend collapses, clutching his chest. You believe you could run to an AED about 4 minutes away or a hospital about 10 minutes away. You have no phone, and nobody is within sight. What should be your first action? A. Get to the hospital as fast as possible to get professional help.B. Run and find the closest person possible to help you.C. Run as fast as possible to retrieve the AED.D. Begin CPR by doing chest compressions Under the Labor Theory of Value, the profits, i.e. the returns for all inputs earned by a company should be distributed to: a. The Bank or other Lending Entity that provided the Capital b. The Workers at the Company c. Equally between Labor and Shareholders d. The Owners of the Company In china elections are held regularly after 5 years for electing the countries parliament still it cannot be called democractic country give reasons 1.802 grams of khp is dissolved in 20.0 ml of distilled water Consider are linearly independent solutions on of a linear homogenous order differential equation.The objective is to determine whether the set of solution is linearly dependent or not.