Resolve 36x2 – 81y2 into factors

Answers

Answer 1

Answer:

(6x + 9y)(6x - 9y)

Step-by-step explanation:

We can use the difference of squares which states that a² - b² = (a + b)(a - b), in this case, a = 6x and b = 9y so the answer is (6x + 9y)(6x - 9y).


Related Questions

explain how 6/12 and 4/8 are equal fractions

Answers

6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.

Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:

(4/8)/(2/2) = 2/4

(6/12)/(3/3) = 2/4

As you can tell, when they share a common denominator (4), the numerators are the same as well (3).

~

4.257 inches rounded to the nearest tenth is

Answers

[tex]4.257\approx4.3[/tex]

[tex]\text{Round to the nearest tenths place}\\\\4.257\\\\\text{"2" would be the number in the tenth place}\\\\\text{We would need to round up if the number to the right of the number is}\\\text{5 or greater}\\\\\text{In this case, the next number "5", so we would round up}\\\\\text{Therefore, your answer should be:}\\\\\boxed{4.3\,\, in}[/tex]

Given that (-9,-8) is on graph of f(x), find the corresponding point for the function f(x)+2

Answers

(-9,-6) would be the corresponding point.

Answer:

            (-9, -6)  

Step-by-step explanation:

The graph of function f(x)+2 is moved 2 units up compared to the graph of f(x).

It means the x-coordinate is the same and the y-coordinate of f(x)+2 is increased by adding 2 to y-coordinate of f(x).

-8 + 2 = -6

plz help asap i have limited time i will give brainliest

Answers

Answer:

358

Step-by-step explanation:

In 1995, the boys were 50 %

Take the number of people at the convention in 1995 ( 716)

and multiply by 50%

716 * 50%

716 * .50

358

Answer:

b. 358

Step-by-step explanation:

First, find what percentage of attendees were boys in 1995:

By reading the graph, we can see 50% were boys.

In the table, we can see that there were 716 attendees in 1995.

To find how many boys attended in 1995, find 50% of 716.

716(0.5) = 358

Is 3+(-4) the same as -4+3 ? Explain​

Answers

Yes, both equal 7. I hope this helps

4. Given the following pattern of shapes, choose the mathematical expression showing th
changes for each iteration if b is the number of boxes in the previous iteration
a) b + 1
b) b + 2
c) 6-1
d) 6-2​

Answers

Answer:

b)b+2

Step-by-step explanation:

3+2=5

5+2=7

so for the next iteration 2is added.

Danny is painting a doghouse to make it durable he will paint all sides including the bottom the dog house is shaped like a rectangular prism with a triangular prism on top as shown how many cans of paint does Danny need to cover the doghouse if each can covers 20ft squared

Answers

Answer:

15 cans

Step-by-step explanation:

There are two shapes that make up the dog house, they are the triangular and rectangular prism, with the combination of a semi-circle and rectangle as the door opening.

The area of a rectangle for the top ( T ) and bottom ( B ) side view:

top height = 3ft, and width= 8ft

bottom height = 4.5ft, width= 8 ft

Area ( T ) = 3 X 8 = 24 ft^2

Area ( B ) = 4.5 X 8 = 36ft^2

The front and back view is a triangle and rectangle:

area of triangle = 1/2 x base x height

with the base = 4ft,   and  sides= 3 ft

height = sqrt( side^2 - (1/2 height)^2 )^0.5

          = sqrt( 9 - 4 )  = 2.235

area of triangle( front and back )  = 1/2( 4 x 2.235 ) = 4.47 ft^2

area of rectangle ( back ) = 4 x 4.5 = 18ft

The entrance is a rectangle with area = 2.5 x 2 = 5ft^2

and semi-circle with area = (πr^2)/2 = (3.14 x 1^2)/2 = 1.57ft^2

area of entrance = 5 + 1.57 = 6.57ft^2

area of front view = 18 - 6.57 = 11.43ft^2

the total area of the doghouse is = 11.43 + 18 + 72 + 48 + 8.94  = 158.37ft^2

this is for just the outside. to get the total for inside and outside:

      158.37 x 2 = 316.74ft^2

total area per paint can = 20ft^2

total number of cans needed = 316.74 / 20  = 15 paint cans

Answer:

6 cans are needed to paint the dog house.

Step-by-step explanation:

A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster estimation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8

Answers

Answer: this not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.

Step-by-step explanation:

Our total add is

= 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

When we spherical it up to nearest tens

7.95 = 8.00

8.11 = 8.00

78.5 = 79

8.05 = 8.00

79.4 = 79.0

0.815 = 1

when we estimate the rational numbers with an extra operation once done,our results is

= eight + eight + eighty + eight + eighty + zero.8 = 184.8, isn't correct ,because within the expression it's not clear , the numbers area unit neither precisely rounded to nearest tens or tenths.

for example ,79.4 once rounded to nearest tens = seventy nine,but within the expression eighty (80) is written,which isn't correct.

Similarly,when rounded to nearest tens, 0.815 = 1, however within the expression 0.8 is written,which is wrong.

Similarly,when rounded to nearest tens ,78.5 = 79 , however within the expression eighty ( 80 ), is written,which is wrong

Answer:Sample Response: The numbers are not clustered around a common number. Two of the numbers are very large and one is very small.Step-by-step explanation:PLZS MARK BRAINLIEST NEED THREE TO LEVEL UP IM AT TWO SO PLZS MARK BRAINLIEST

HELP PLEASE ASAP I REALLY DONT KNOW HOW TO DO THIS
What is the slope of a line perpendicular to the line containing the points $(-1,2)$ and $(1,-2)$? Express your answer as a common fraction. Enter your answer

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope of the line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)

m = [tex]\frac{-2-2}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

multiple choice
a. 126 pie cm^3
b. 84 pie cm^3
c. 504 pie cm*3

Answers

Answer:

a. 126 pie cm^3

Step-by-step explanation:

Area of a circle = pi*r²

Volume = area*height

(pi*r²)*14

Since your answers are with Pi omit the Pi and times 3² * 14 = 126 pie cm³

Answer:

A. 126pi cm^3

Step-by-step explanation:

The volume of a cylinder can be found using the following formula.

[tex]v=\pi r^2 h[/tex]

First, we must find the radius. The radius is half of the diameter.

[tex]r=\frac{d}{2}[/tex]

The diameter of the cylinder is 6 cm.

[tex]r=\frac{6cm}{2}[/tex]

[tex]r= 3cm[/tex]

The radius is 3 cm.

Now, we can substitute values into the formula.

[tex]v=\pi r^2 h[/tex]

[tex]r= 3cm\\h=14 cm[/tex]

[tex]v=\pi (3cm)^2*14 cm[/tex]

Evaluate the exponent.

[tex](3cm)^2=3cm*3cm=9cm^2[/tex]

[tex]v=\pi*9cm^2*14cm[/tex]

Multiply 9 cm^2 and 14 cm

[tex]9 cm^2*14cm=126cm^3[/tex]

[tex]v=\pi*126cm^3[/tex]

The answer choices are in terms of pi, so we can simply rearrange our answer:

[tex]v=126\pi cm^3[/tex]

The volume of the cylinder is 126pi cubic centimeters and A is the correct answer.

Briefly explain your knowledge of sine, cosine, and tangent.

Answers

Answer:

Sine, Cosine and Tangent are  main functions used in Trigonometry .

They  are based on a Right-Angled Triangle.

It helps to give a name to each side of a right triangle:

"Opposite" ;  side opposite to the angle θ

"Adjacent"; side adjacent (next to) to the angle θ,

"Hypotenuse" ; the longest side

Step-by-step explanation:

Sine, Cosine and Tangent (are often shortened as sin, cos and tan)

They are used in calculation by;

[tex]Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\ \\Tan \alpha = \frac{Opposite}{Adjacent}[/tex]

To remember how to apply them , we use

SOHCAHTOA

soh

Sin = Opposite / Hypotenuse

cah

Cosine = Adjacent / Hypotenuse

toa

Tangent = Opposite / AdjacentI hope it helps :)

Find the midpoints of the points (-3,-2) and (1,-4)

Answers

Answer: (-1,-3)

Step-by-step explanation:

midpoint formula [tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]

[tex]\left(\frac{1-3}{2},\:\frac{-4-2}{2}\right)[/tex]

[tex](\frac{-2}{2},\frac{-6}{2})[/tex]

-2/2=-1

-6/2=-3

So the midpoint is (-1,-3)

Please mark brainliest  

whats a negative times a positive times a negative?

Answers

Answer:

Positive

Step-by-step explanation:

negative times negative is postive positive times negative is negative

Answer:

A positive.

Step-by-step explanation:

Let's replace these with numbers.

-1 · 2  · (-3)

A negative times a positive will always equal a negative. So, we have:

-2 · (-3)

Any numbers with the same sign (positive or negative)  multiplied by each other will equal a positive. Since we have two negatives and we're multiplying them, our result will be a positive number.

6

Hope this helps!! <3 :)

La madre de rosita se ha comprado una mascarilla por un valor de 1 25 dolares al mismo tiempo se ha comprado un paquete de jabones de 2 00 dolares y luego compra un gel de alcohol en 3 00 dolares después de pagar le queda 7 65 dolares que debemos saber que tengo que hacer para obtener el resultaron

Answers

Answer:

La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos es de $13.90

Step-by-step explanation:

La información dada son;

El valor de la máscara = $ 1.25

El valor del paquete de jabones = $ 2.00

El valor del gel de alcohol = $ 3.00

La cantidad que le quedaba después de pagar = $ 7.65

Por lo tanto, tenemos;

La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = La cantidad que le quedaba después de pagar + El valor del gel de alcohol + El valor del paquete de jabones + El valor de la mascarilla

Por lo tanto;

La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = $ 7.65 + $ 3.00 + $ 2.00 + $ 1.25 = $ 13.90.

If the product of two matrices is AB=1/-3/5 over 2/5/7, what are the dimensions of Matrix B if A is a 2x3 matrix?

Answers

Answer:

Matrix multiplication is associative: ( A B ) C = A ( B C ) \displaystyle \left(AB\right)C=A\left(BC\right) (AB)C=A(BC).

Matrix multiplication is distributive: C(A+B)=CA+CB,(A+B)C=AC+BC. C ( A + B ) = C A + C B , ( A + B ) C = A C +

A taxi cab company charges a flat rate of $2.00 per trip plus $0.25 per mile of the trip. If m is the number of miles traveled on a particular trip, interpret the following expressions: a) 0.25m b) 2.00 + 0.25m

Answers

Answer:

b) 2.00 + 0.25m

Step-by-step explanation:

2.00per trip and $0.25 per mile = 2.00 + 0.25m

Answer:

see below

Step-by-step explanation:

a) 0.25m

This is the cost of the mileage alone

The cost is 25 cents per mile times m miles

b) 2.00 + 0.25m

This is the total cost of the trip

There is a 2 dollar flat rate fee plus the cost of the miles

2 dollars plus m miles at 25 cents per mile

Which is the simplified form of x-12?
Help

Answers

Answer:

1 / x^12

Hope this helped!!!

Answer: c)

Answer:

1 / x^12

How do you solve
n= (2s-1)+(s-1)

Answers

Answer:

n=3s-2

Step-by-step explanation:

Step 1: Remove unnecessary parentheses (2s-1)

Step 2: Collect "Like Terms" (2s+s= 3s)

Last Step: Put them all together (n=3s - 2)

Solve the equation for all values of x in simplest form: (x-9)^2 = 15

Answers

[tex](x-9)^2=15\\x-9=\sqrt{15} \vee x-9=-\sqrt{15}\\x=9+\sqrt{15} \vee x=9-\sqrt{15}[/tex]

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

4 cm

Step-by-step explanation:

Volume of milk

LBH

L= 8, B= 5 and H =12

5×8×12=480

After rotation

L= 8, B=15 and H=x

V=LBH

480=8×15×x

480=120x

x=4cm

Answer:

The depth of the milk is 4cm when turned

Step-by-step explanation:

First we need to figure out how much milk is inside the container. We can do this by finding the volume it takes up. The milk's depth is 12cm so the height is 12 instead of 15. The length and width remain the same (5 and 8)

5x8x12=480 cm^3

The volume of the milk is 480, so when the carton is turned, the milk's volume still is the same

When it is turned, the base changes. Now it is 8 and 15 for the length and width. We just need to find the height.

8x15xh=480

120h=480

h=4

The depth of the milk is 4cm when turned

Two numbers are in ratio 3 by 2 and their difference is 5 find numbers

Answers

Answer:

          The first number is 15, the second number is 10

Step-by-step explanation:

a:b = 3:2    ⇒   a = 3x  and  b = 2x

a - b = 5

3x - 2x = 5

x = 5

a = 3•5 = 15

b = 2•5 = 10

Let X denote the block rate of the host hotel for a particular conference, and let Y denote the lowest room rate available in the host hotel outside of the conference block. For a conference that requires a two-night hotel stay, which one of the following expressions represents the least amount of discount on the conference registration fee that, according to the article, would be sufficient to deter conference attendees from employing the ROB strategy in choosing accommodations?
A. X+Y2X+Y2
B. X−Y2X−Y2
C. X−YX−Y
D. X+YX+Y
E. 2(X−Y)

Answers

Answer:

C. X-Y X-Y

Step-by-step explanation:

The question asks to identify the least amount of discount on the conference registration. If the registration discount is at least half of the possible saving of ROB then all attendees will stay within the block. X is the block rate and Y is the non block rate. The saving for staying two nights outside the block is 2 (X-Y)

Find the value of f(2).
y = f(x)

Answers

Answer:

2

Step-by-step explanation:

Looking at the graph, it is 2.

Factorise : x^2-9x-70 Step by Step​

Answers

Answer:

Step-by-step explanation:

x^2 - 9x - 70

we need to find two numbers whose sum is -9 and product id -17

The numbers are -14 and 5

By splitting the middle term,

x^2 - 14x + 5x - 70

= x ( x - 14 ) + 5 ( x - 14 )

( x + 5 ) ( x - 14 )

Hope this helps

Plz mark as brainliest!!!!!

Answer:

Step-by-step explanation:

Sum = -9

Product = -70

Factors = -14 , 5

x² - 9x - 70 = x² + 5x - 14x + (-14) * 5

                  =x(x + 5) - 14(x + 5)

                  = (x + 5)(x - 14)

In the given figure if p||q what is the value of b?​

Answers

Answer:

120°

Step-by-step explanation:

We can see that b=a by opposite exteriors.

So a+1/2a=180

1.5a=180

a=180/1.5=120

And since b and a are equal, b also equals 120°

Suppose the radius of a circle is 2. What is its circumference?

Answers

Answer:

12.57

Step-by-step explanation:

The formula to solve the circumference of a circle is:

2 x PI x R (radius)

=> 2 x PI x 2

=> 4 PI or 12.57

Find the missing factor D that makes the equality true -15y^4=(D)(3y^2)

Answers

Answer:

[tex]D=-5y^2[/tex]

Step-by-step explanation:

We have the equation:

[tex]\displaystyle -15y^4=D(3y^2)[/tex]

And we want to find D such that the equation is true.

So, we can divide both sides by 3y². This will yield:

[tex]\displaystyle D=\frac{-15y^4}{3y^2}[/tex]

We can split this into:

[tex]\displaystyle D=\frac{-15}{3}\cdot\frac{y^4}{y^2}[/tex]

Simplify. Hence:

[tex]D=-5y^2[/tex]

A tent is in the form of a right circular cylinder and cone. The radius of the cone and cylinder is 4 meters. The height of the cylinder and cone are 4.5 meters and 3 meters respectively. Find the outer surface area of the tent. (Assume π = 22 /7)

Answers

Answer:

176m²

Step-by-step explanation:

When we are asked to find the outer surface area of a geometric shape, it means to find the Lateral or Curved Surface Area of the shape. We are given two shapes above.

Step 1

Find the Outer surface area of the cone

Outer / Lateral surface area of a cone =

πrl

Where l = √r² + h²

r = 4 m

h = 3m

Outer surface area = 22/7 ×√4² + 3²

= 22/7 × √16 + 9

= 22/7 × √25

= 22/7 × 5

= 62.83185m²

Step 2

Find the outer surface area of a cylinder

= 2πrh

π = 22/7

r = 4m

h = 4.5

π = 22/7

Outer surface area of a cylinder = 2 × 22/7 × 4 × 4.5

= 113.09734m²

Step 3

The Outer Surface Area of the Tent = Outer Surface Area of the cone + Outer Surface Area of the cylinder

= 62.83185m² + 113.09734m²

= 175.92919m²

Approximately ≈ 176m²

Therefore, the outer surface area of the tent = 176m²

Select the correct answer.
In which career would you most likely apply concepts from geometry?

Answers

Answer:

civil engineering..

hope it helps u

What are the solutions to the equation 3(x – 4)(x + 5) = 0? x = –4 or x = 5 x = 3, x = 4, or x = –5 x = 3, x = –4, or x = 5 x = 4 or x = –5

Answers

Answer:

x= 4                x = -5

Step-by-step explanation:

3(x – 4)(x + 5) = 0

Using the zero product property

(x – 4)=0      (x + 5) = 0

x= 4                x = -5

What are the solutions to the equation 3(x – 4)(x + 5) = 0?

x = –4 or x = 5

x = 3, x = 4, or x = –5

x = 3, x = –4, or x = 5

x = 4 or x = –5

Answer:

D. x = 4 or x = –5

Step-by-step explanation:

Other Questions
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Until then we'll do what we have to do to keep our people alive." 1. What has the Unit just discovered in this exchange? A. the U.S. Military has been engaged in lying and manipulating civilians in Iraq B. the goal of being is Iraq has been to take control of the people and the country C. the Unit is likely to suffer casualties during the mission D. All of the answers are correct. 2. According to the quote, what is Roberts's priority in Iraq? A. to continue to promote democracy in the region B. to keep American soldiers safe C. to protect Iraqi children D. to secure and stabilize the country 3. What does Roberts mean by "philosophy of war" in this quote? A. He is referring to the discussion of what is acceptable and unacceptable in war. B. He is talking about the Rules of Engagement cards. C. He is referring to the military training manuals that soldiers read at the start of the war. D. He is implying that more historical study needs to be done on why they are at war. 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Select the correct answer. Which sentences contain imagery? Check all that apply.The musky, smoky odor wafted from the glowing fireplace.The car's bright headlights twinkled in the distance.Miguel decided to visit his grandmother yesterday.Eric's eardrums shuddered in rebellion at the bird's screeching.The train stopped at Hanson Station every day. I need help with this math problem please (3x+2)(5x-7) 0.58333333333 as a whole number Gabbie is trying to decide what to wear today. It is going to be raining this morning but should be clearing off later. In addition, Gabbie knows that she has riding lessons after school, so she needs to take that into account when she chooses her clothes. On top of that, today is the pep rally, meaning Gabbie is expected to wear her school colors. In order to select an appropriate outfit without assistance, Gabbie must be capable of which of the following?A) ReversibilityB) DecentrationC) CentrationD) Conservation In Lurnee, it takes 10 resources to produce 1 ton of cocoa and 13.5 resources to produce 1 ton of rice. In South Tyberg, it takes 40 resources to produce 1 ton of cocoa and 20 resources to produce 1 ton of rice. Lurnee has a comparative advantage over South Tyberg in cocoa. This follows the theory of comparative advantage, and we can say that engaging in free trade benefits all countries that participate in it; however, this conclusion stems from which of these inaccurate assumptions?A. We have assumed that agrarian nations do not specialize in producing particular products.B. We have assumed the prices of resources and exchange rates in the two countries are dynamic.C. We have assumed diminishing returns to specialization.D. We have assumed constant returns to scale.E. 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(a) Determine the rejection region for the test of please help me find the nth term of this sequence 0, 3, 8, 15, 24 The comparative balance sheet of Nathan Company appears below: NATHAN COMPANY Comparative Balance Sheet December 31, Assets 2017 2016 Current assets $420 $333 Plant assets 780 567 Total assets $1,200 $900 Liabilities and stockholders' equity Current liabilities $168 $144 Long-term debt 300 162 Common stock 432 306 Retained earnings 300 288 Total liabilities and stockholders' equity $1,200 $900 Using horizontal analysis, show the percentage change for each balance sheet item using 2016 as a base year. 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If you wanted to make your own lenses for a telescope, what features of a lens do you think would affect the images that you can see