Mathematics High School

Use your knowledge of special cases to solve the problem.

( 3a - 2b )2 = ??

a) 9a^2 + 12ab + 4b^2

b)9a^2 - 4b^2

c)9a^2 - 12ab + 4b^2

Answers

Answer 1

Answer:

C

Step-by-step explanation:

We want to simplify:

[tex](3a-2b)^2[/tex]

Recall the perfect square trinomial pattern:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Let a = 3a and b = -2b. Thus:

[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]

Simplify:

[tex]=9a^2-12ab+4b^2[/tex]

Our answer is C.

Related Questions

There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?

Answers

Answer:

I think its 2/9 but im not sure worth a try doe

If you invest $35,000 into an account that gets 9% interest compounded monthly, how much would you have
in your account after 10 years?

Answers

Answer:

$1084545551

Step-by-step explanation:

We have:

$35000 x (1 + 9%)¹²ˣ¹⁰ = $1084545551

Can you please help me find the volume of this shape ?

Answers

Answer:

The answer is 1710

Step-by-step explanation:

To find the volume of a shape, multiply the length by width by height.

V = LxWxH

Answer:

810in^3

Step-by-step explanation:

(6*19)/2 = 54

54*15 = 810

which is grater .856 or .8561

Answers

Answer: .8561

Step-by-step explanation: If you make them the same number by adding a 0 to .856 it would look like

.8561

.8560

Answer:

I think it would be .856

Step-by-step explanation:

0.5 is greater than 0.05. There are many ways to deduce this:

The more the # of zeroes after the decimal point the smaller the number is. Suppose there are x number of extra zeroes after the decimal point in number a than number b. Then, b is 10^x times larger than a.

Multiply both numbers by 100. we can see 0.5*100 (=50) > 0.05*100 (=5)

Fractionalize both numbers, we get 0.5=(5/10) but 0.05=(5/100). This makes 0.05<0.5

Thanks for reading. Hope this helps. And maybe can i have brainliest?

The next term in the sequence 15, 12, 8, 3

Answers

-3 is the next term

Answer:

I think the answer is 17

Step-by-step explanation:\

The pattern is counting down. 3 plus 5 is 8, 8 plus 4 is 12, 12 plus 3 is 15, and 15 plus 2 is 17.  

I hope this helps :)

Write 3-5 sentences about the process of the Difference of squares Factoring Method

Answers

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

Please help!! Find the radius r.

Answers

if u need to go from radius to diameter multiply radius times 2: d=2r

Question 1 (1 point)
What value of n makes the equation
0.2(n + 4) = 4.7n - 2.8 true?
A n = 0.8
B n = 1.25
Cn=-0.48
Dn=0.96
А
B
C
D

Answers

Answer:

a     n=0.8

Step-by-step explanation:

The total value of nickels and dimes in a coin bank is $4.60. There are 10 more dimes than nickels in the bank. How many dimes are in the bank?

Answers

Your answer is 20.34
20.34 is the answer :)

What is the shaded area ? Help Asas please !..

Answers

Answer:312

Step-by-step explanation:

Please Help!!!! need it just right now

Answers

Answer:

A. y = x² + 12x - 8

Step-by-step explanation:

The u-shaped function should have:

positive leading coefficienteven degree

The only function with mentioned parameters is:

y = x² + 12x - 8

Correct option is A

The other options don't fit:

B. Even degree with negative leading coefficientC. Odd degreeD. Odd degree

Pls help me with the answer to question 3

Answers

i the pictures aren’t working
The maximum volume that Tom can fit in the box is 144 in^3. We know that the formula for the volume of the box is V=l*w*h, so when you plug in the numbers from the problem, it becomes V=6*6*4. When you multiply those numbers, you get 144. When you add your units, the answer is 144 in^3. If you need any more help or any clarification, please let me know and I will be happy to help!

1. The height in feet of a thrown football is modeled by the function h(t) = -16t2 + 60t +6, where t is time
in seconds.
What does the value of h(3) represent in this context?
A. The increase in the football's height after 3 seconds.
B. The decrease in the football's height after 3 seconds.
C. The football's height after 3 seconds.
D. The time it takes for the football's height to reach 3 feet.

Answers

Answer:

C) football's height after 3 seconds

Step-by-step explanation:

what is the volume of this prism 10mm 8mm 12mm 3mm 2mm

Answers

Answer:

5760 mm

Step-by-step explanation:

just multiply lol

Algebra 2
Please help!
Will give brainliest if it’s correct!

Answers

I’m not sure but I think it’s either c or d
The answer to your question is C

What is the
approximate value of x?

Answers

Answer:

There is no work shown

Step-by-step explanation:

So you find the derivative root X you'll get 1 over 2 X to the power 1 by 2 and exactly after that you write the formula for the approximation.

PLEASE HELP !! DUE SOON :(

Answers

Answer:

-3

Step-by-step explanation:

Nearest unit tho will be -0 i think

A waffle cone has a volume of 31.254 cubic centimeters and a radius of
2.5 centimeters. What is the approximate height of the cone?

Answers

Answer:

4.78 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is

V = (1/3)πr²h.  Here, V = 31.254 cm³ and r = 2.5 cm.  

We begin by solving V = (1/3)πr²h for the unknown height, h:

         31.254 cm³              3(31.254 cm³)            93.762 cm³

h = ------------------------  =  --------------------------  =  --------------------  ≈  4.78 cm

            (1/3)πr²                       π(2.5 cm)²               19.635 cm²

help me this is hard

Answers

The answer is: Integer

Answer:

I guess it's whole; because it first appears there.

Solve 7z + 4 - 5z > 8 + 12


The solution is ____

This is on Big Ideas Math if anyone has this math problem.

Answers

Answer:

z>8

.....................

Can you please help !? its due at 1:00 pm. (i will mark you brainlest) can you show work if you can?

Answers

Answer:

10) 9*9*9*9 = 6561

11) 2*2*2 = 8

12) 3*3*3*3*3 = 243

13) 4*4*4 = 64

14) 6*6*6*6*6 = 7776

15) 5*5*5*5 = 625

16) 8.5*8.5*8.5 = 614.125

17) 1.3*1.3 = 1.69

18) 7*7*7*7 = 2401

Used a calculator

Solve the simultaneous equation:
2x+3y=13

X+2y=9​

Answers

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:

A mad scientist is trying to turn herself into a superhero in her lab at point B. There is an explosion and
anyone within a radius of 8 miles from the lab turns into a superhero. Unfortunately, anyone between 8 and
10 miles from the blast turns into an evil villain. If the population is evenly distributed over the total area,
are there more evil villains or more superheroes?

Answers

Answer:

superheros

Step-by-step explanation:

area of the 8 milrs- 201.06sq miles

area of 10 miles- 314.16sq miles

subtract the 210.06 from 314.16, 104.1

so, 210.06 square miles of heros, 104.1 square miles of villians

One copy of a new book by Amanda's favorite author cost $9.45. If a total of 2,740 copies of the book were sold on the first day of the book's release, what were the total sales that day?

Answers

Answer:

$25893

Step-by-step explanation:

Answer:

$25,893

Step-by-step explanation:

find the area calculate the area of the composite figure ​

Answers

Answer:

84 Sq in

Step-by-step explanation:

area of the composite figure = Area of square + Area of triangle

[tex] = {9}^{2} + \frac{1}{2} \times (9 - 7) \times 3 \\ \\ = 81 + \frac{1}{2} \times 2 \times 3 \\ \\ = 81 + 3 \\ \\ = 84 \: {in}^{2} [/tex]

Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations.


Explaining Is Required​

Answers

Answer:

[tex]\huge \colorbox{red}{(x,y)=(-1,-3)}[/tex]

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]

combine the equations:

[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]

divide both sides by -48:

[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]

substitute the value of y to the second equation

[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]

simplify multiplication:

[tex] \displaystyle \: 4x + 12 = 8[/tex]

cancel 12 from both sides:

[tex] \displaystyle \: 4x = - 4[/tex]

divide both sides by 4

[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]

therefore our solution is

[tex]\displaystyle (x,y)=(-1,-3)[/tex]

Answer:

Solution given:

-3x+7y=-18

3x-7y=18.................[1]

4x-4y=8

4(x-y)=8

x-y=[tex] \frac{8}{2} [/tex]

x-y=2..........….........[2]

multiplying equation 2 by 3 and subracting equation 1 and 2,we get

[tex]3x-7y - 3x + 3y = 18 - 6[/tex]

-4y=12

y=[tex] \frac{12}{ - 4} [/tex]=-3

substituting value of y in equation 2,we get

x-(-3)=2

x=2-3

x=-1

:.

x=-1

y=-3

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 7≤x≤8?

Answers

Answer:

-2

Step-by-step explanation:

We see on the graph:

f(7) = 2f(8) = 0

Average rate of change:

(f(8) - f(7))/(8 - 7) =(0 - 2)/1 = -2

expand: 0.25(xy+4z+5)

Answers

Answer:

0.25xy+z+1.25=0

Step-by-step explanation:

0.25 xy + z +1.25 = 0

What is the slope of the line ??

Answers

Answer:

slope = 2

Step-by-step explanation:

slope is...

rise/run

this is rising by 2 and going to the right by 1

2/1=2

Al principio Eduardo y Adrián tenían el mismo número de dulces. Eduardo le dio a Adrián la mitad de los dulces que tenía. Después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces. ¿Cuántos dulces tenía Eduardo al final? *

Answers

Answer:

Al final, Eduardo tenía 20 dulces.

Step-by-step explanation:

Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:

Eduardo 1X = Adrián 1X

Eduardo 0.5X = Adrián 1.5X

Eduardo 1.25X = Adrián 0.75X

0.75 X = 12

X = 12 / 0.75

X = 16

1.25 X = 16 x 1.25 = 20

Así, al final, Eduardo tenía 20 dulces.

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