MATHEMATICS HIGH SCHOOL

What is the product of (2x + 1) and (3x + 1)?A. 6x2 + 5x + 2
B. 6x2 + 7x + 2
C. 6x2 + 10x + 3
D. 6x2 + 5x + 1

Answers

Answer 1
Answer: the answer is d
(2x+1)(3x+1)=6x^2+5x+1

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A cube with side length 5h^2 is stacked on another cube with side length 3k What is the total volume of the cubes in factored form?

Answers

Answer:

(5h^2+3k)(25h^4-15h^2k+9k^2)

Step-by-step explanation:

We have been given that a cube with side length 5h^2 is stacked on another cube with side length 3k.

Since we know that the volume of cube is a^3, where a represents the length of each side of cube.

Since one cubes is stacked on another cube, so the total volumes of both cubes will be equal to the sum of volumes of both cubes.

\text{Total volume of both cubes}=(5h^2)^3+(3k)^3

Since the volume of both cubes is sum of cubes, so we will use formula:

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

So factoring the volumes of cubes using sum of cubes we will get,

\text{Total volume of both cubes}=(5h^2+3k)((5h^2)^2-5h^2* 3k+(3k)^2)

\text{Total volume of both cubes}=(5h^2+3k)(25h^4-15h^2k+9k^2)

Therefore, the total volume of both cubes in factored form will be: (5h^2+3k)(25h^4-15h^2k+9k^2)
In order to compute the combined volume of the cubes, we may simply add the individual volumes of the cube. The volume of a cube is equivalent to the cube of one of its sides. The volume of the first cube is (5h^2)^3 = 125h^6. The volume of the second cube is (3k)^3 = 27k^3. The total volume is: 125h^6 + 27k^3Hope this helps. Let me know if you need additional help!

Help me with math ( 9th grade)

Answers

Theres a website called spades (or something like that) if you go on it look for your math text book and it will have the answers for you
the answer is the second option.

You suppose to fence the football ground. The fence should be two meters from the ground. Calculate the length of the fence.​

Answers

Answer:

choose the figure that model 8÷4/3

A ship drops its anchor into the water and creates a circular ripple. The radius of the ripple increases ata rate of 50 cm/s. If the origin is used as the location where the anchor was dropped into the water.

Find the equation for the circle 12 seconds after the anchor is dropped


Please write all the steps it’s for my summer school test and I need it done quick as possible thanks.

Answers

Answer:

The equation for the circle 12 seconds after the anchor is dropped is x^2 + y^2 = 360,000

Step-by-step explanation:

To find the equation for the circle 12 seconds when the radius of the ripple increases at a rate of 50 cm/s, the circle radius will be;

50 * 12 = 600 cm

Then place the equation inform of Pythagoras equation which is;

x^2 + y^2 = r^2

Where r is the radius

x^2 + y^2 = 600^2

x^2 + y^2 = 360,000

Then, the equation for the circle 12 seconds after the anchor is dropped is x^2 + y^2 = 360,000

PLEASE HELP What is the solution to the sentence ''A number decreased by -5 is at least 7''?

Answers

so a number degreased by -5 means a number +5 so
x-(-5)
is at least 7
x+5>7
so subtract 5 from both sides
x>2
the solution is any number more than, and  including, 2


n-5=7

add 5 to both sides

n=12

Since it's founding, a volunteer group has restored 50 houses. It plans to restore 15 houses per year in the future. Write an equation that models thetotal number N of restored houses T years from now.

Answers

The equation that represents the word statement is N= 15T+50.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a volunteer group has restored 50 houses. It plans to restore 15 houses per year in the future.

With 15 being the number changing as you find your variable and 50 being the number of houses ALREADY completed, constituting adding it to the answer.

Therefore, the equation that represents the word statement is N= 15T+50.

To know more about an expression follow

brainly.com/question/7700605

#SPJ2
The answer would turn out being--

N= 15T+50 

With 15 being the number changing as you find your variable and 50 being the number of house ALREADY completed, constituting adding it to the answer. 
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