Mathematics High School

Part A: The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (16x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer 1

Answer:

Step-by-step explanation:

4x² - 12x + 9 = ?

4x² - 12x + 9 = 4x²- 6x - 6x + 9 = 2x

2x(2x - 3) - 3(2x - 3)

(2x - 3)(2x - 3)

(2x - 3)²

Welcome Brazil!!!!

Answer 2

Answer:

Part B: The dimensions are (4x + 3y) and (4x - 3y)

Step-by-step explanation:

our equation is: (16x^2 - 9y^2)

With this equation, we must plug it into the formula: (a + b)(a - b) = a^2 - b^2

so,

a^2 = 16x^2

b^2 = 9y^2

then,

a = sqrt(16x^2) = 4x

b = sqrt(9y^2) = 3y

(these are the correct variables because 3*3 = 9, and 4*4 = 16)

now, we plug this information back into the formula again;

(a + b)(a - b) = (4x + 3y)(4x - 3y)

therefore, (4x + 3y)(4x - 3y) is the answer!

I hope this helps, have a wonderful day!

Related Questions

Please help!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

[tex] {40}^{ \frac{1}{2} } and \: 2 \sqrt{10} [/tex]

what is the coordinate points for r(-2)=0​

Answers

Function notation has the form r(x)=y and coordinate points are (x,y).
So in r(-2)=0, you have x = -2 and y = 0. This means you have the point (-2,0).

h(x) = **+ 3x
x2 + 3x
4x + 27
Find h(-8)

Answers

Answer:

[tex]h( - 8) = \frac{( - 8)^{2} + 3( - 8) }{4( -8 ) + 27} \\ \\ = \frac{64 - 24}{ - 32 + 27} \\ \\ = \frac{40}{ - 5} \\ \\ h( - 8) = - 8[/tex]

I hope I helped you^_^

please help!!!!!
what is -x+2x???

Answers

The answer is X

Hope this helps!
The answer is. X good luck in math wishing u the best luck!

Evaluate (27)−1/3(27)−1/3×[271/3−272/3]​

Answers

Answer:

[tex](27) - \frac{1}{3} (27) - \frac{1}{3} \times ( \frac{271}{3} - \frac{272}{3} ) \\ \\ 27 - 9 - \frac{1}{3} ( \frac{ - 1}{3} ) \\ \\ 27 - 9 - ( - \frac{1}{9} ) \\ \\ 27 - 9 + \frac{1}{9} \\ \\ \frac{243 - 81 + 1}{9} \\ \\ = \frac{163}{9} = 18.1 = 18 \frac{1}{9} [/tex]

I hope I helped you^_^

There are 60,659 people under the age of 14 years old
There are 215,927 people age between 15 and 64 years old
There are 36,610 people over the age of 65 years old
What is the Old Age Dependency Ratio as a decimal rounded to
the Thousandths place?

Answers

Answer:

(2,800/1,500) * 100 = 187%

Step-by-step explanation:

Lawrence spent $1.89 on a bottle of paint and $0.45 on a brush. What was the total amount he spent? Use the model to help you.

Answers

The correct answer would be 2.34
Correct answer is $2.34

Please help!! Due tm! NO LINK

Answers

Ans4

Step-by-step explanation:

Step-by-step explanation:

25 . f (-6) = 7

26 . f (0) = -2

27 . x = 2

28 . x = -4

i don’t understand at all

Answers

Answer:

26

Step-by-step explanation:

It says find f(f(2)), so we need to find f(2) and then input that into the same function. f(2)=5 so then we input that into the function again and get 26. Boom.

Answer:

26

Step-by-step explanation:

Ok first u find f(2) so for that u have to input 2 into the value of x. So 2^2 +1 =5

When we get 5 we input THAT into f(x)

So:

F(5) = 5^2 +1

=26

find the value of a if the line joining the points (3a,4) and (a,-3) has a gradient of 1

Answers

Recall that the slope or gradient of a line segment through two points is the ratio of the change in the y coordinate to the change in the x coordinate.

If the gradient is 1, then

1 = (-3 - 4) / (a - 3a)

Solve for a :

1 = -7 / (-2a)

1 = 7/(2a)

2a = 7

a = 7/2

what is the square root if 144000000?
step by step pls​

Answers

Answer:

12000

Step-by-step explanation:

sqrt144*1000000= sqrt144*sqrt10^6= 12*10^3=12000

I need with question

Answers

Answer:

AB = 26

Step-by-step explanation:

BC = 36

AC = 62

AB = ?

to find ab we need to

AB + BC = AC (given)

AB + 36 = 62

AB = 62 - 36

AB = 26

Yoooo help me outttt

Answers

Answer:

P Coordinate = (4, -2)

What is 3/4 divided 1/2

Answers

Answer:

.375

Step-by-step explanation:

When you divide by a fraction, you end up multiplying by the reciprocal:

3/4 ÷ 1/2 = 3/4 • 2/1

Now that it’s multiplication, you multiply straight across.

3•2 / 4•1 = 6/4

Then remember to reduce. Since both 6 and 4 are divisible by 2, divide both by 2.

6/4 = 3/2

solve thefollowing
a) 2(x + 3) = x - 4​

Answers

Answer:

x = -10

Step-by-step explanation:

2(x + 3) = x - 4

2x + 6 = x - 4

2x - x = -4 - 6

x = -10

The answer is x=10 this is most definitely the correct answer

The words above say “the expression x-2 has a value of -5 for some value of x. For the same value of x, what is the value of the expression (x-2)*squared. Show your reasoning for this problem.” Also i said (*squared) bcuz its squared with a 2 so please dont leave that part out. D: help pls

Answers

Answer:

(1)

Step-by-step explanation:

x - 2 = - 5             Add 1 to each side

x = - 5 + 2

x = - 3

Now go to the next part

(x - 2)^2

(-3 - 2)^2

(- 5)^2

Now it's a good idea at this point to separate the squared. It means that two numbers that are the same are to be multiplied together.

(-5)(-5)  Two minuses are going to give you a plus.

5 * 5 = 25

(-5) * (-5) also give you 25

The answer is (1)

a number minus 6 is less than or equal to 21

Answers

Answer:

I Think The Answer Is 27???

five more than twice a certain number​

Answers

2x+5 should be the answer


What is the height of a triangle with an area of 32 cm2
and a base of 8 cm?

Answers

Answer:

8 32  A for area and H for height

Step-by-step explanation:

Find the measure of each angle I’ll mark the brainiest :)

Answers

Answer:

9. 70°  10. 90°  11. 110°

Step-by-step explanation:

12. 25°

13. 95°

14. 20°

............-2
6.7x10 =

Answers

Answer: 67

Step-by-step explanation:

When you multiply with numbers like 10, 100, 1000, 10000, and so on you just have too right or left (division : left)(multiplication : right) according to the zero's. Like 100 has 2 zero's so then if you're multiplying with that you will go 2 to the right, and dividing you will go 2 to the left. Lets apply the same logic here, the question is 6.7 x 10, 10 has 1 zero and we are multiplying here so then, we have to go to the right, so 6.7 will become 67.

I need help with 4, 5, and 6 and this is Geometry.

Answers

Answer:

it is the 7th

Step-by-step explanation:

plz take my answer

What is the smallest integer that is above square root five?

Answers

sqrt5 = 2.23605~
smallest integer above = 3
√5＝2.23607
∴the smallest integer that is above √5 is 3

Hope my answer helped u :)

Solve : x/3-2/5 = 2x/15-3/5

Answers

Step-by-step explanation:

x/3-2/5=2x/15-3x

5x-6=2x-9

5x-2x=-9+6

3x=-3

3x/3=-3/3

x=-1

Find the volume of a rectangular prism that is 10 cm long, 3 cm wide, and 2 cm high. Please draw and label the prism​

Answers

Answer:

Volume = Length × Width × Height

Volume = 10 × 3 × 2

Volume = 60 cm

Please help!!!!! 25 POINTS

How do you find the solutions to a system of equations involving quadratic functions and other functions?

How do quadratic functions compare to linear and exponential functions?

Answers

Answer:

1. How to Solve using Algebra

Make both equations into "y =" format.

Set them equal to each other.

Simplify into "= 0" format (like a standard Quadratic Equation)

Solve the Quadratic Equation!

Use the linear equation to calculate matching "y" values, so we get (x,y) points as answers.

Algebraic method is more easy to do

2. linear functions have constant first differences. quadratic functions have constant second differences. exponential functions have a constant ratio.

Help what is the slope of the line?

Answers

9514 1404 393

Answer:

  8/5 = 1.6

Step-by-step explanation:

It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6

The slope of the line seems to be about 8/5, or 1.6.

Help me out pls n thanks!!

Answers

Answer:

[tex]m^4\\[/tex]

Step-by-step explanation:

M times itself 4 times is denoted by [tex]m^4[/tex]

Answer:

m⁴

Step-by-step explanation:

m*m*m*m = m⁴, as you're multiplying it 4 times

help please and thank you

Answers

1:2

2:5

3:7

Hope this helps

Answer:

first one: x = 2

second one: x = 5

third one: x = 7

Step-by-step explanation:

y = x/2

y × 2 = x/2 × 2

2y = x

multiply the y variable by two and you get x

What is the inverse of multiplication?
(A) subtraction
(B) division
(C) addition
(D) multiplication

Answers

Answer:

b

Step-by-step explanation:

Answer:

b) division.

Hope it helps you....
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