What is the result of subtracting 4x^2 + 3xy +2y^2 from 5x^2 + 3xy + 6y^2?

Answers

Answer 1

x^2 + 6xy + 8y2

4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

Combine like terms:

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)

= -x^2 + 6xy + 8y^2


Related Questions

can someone please help me with this

Answers

Answer:

a or b.

Step-by-step explanation:

please help and show work I'll mark you brainliest if I can ​

Answers

Answer: If your talking about the angle degree it is 45°

Step-by-step explanation:

What are the factors of
[tex] {x}^{2002} - 1[/tex] ?
I want step-by-step explanation. Spam free answer required

Answers

Step 1: Trying to factor as a Difference of Squares:

Factoring:  x²⁰⁰² - 1

Theory : A difference of two perfect squares,  A² - B²  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

A² - AB + BA - B² =

A²  - AB + AB - B²

 A² - B²

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check: x²⁰⁰²  is the square of  x¹⁰⁰¹

Factorization is :       (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)

A side length of a regular nonagon is an integer. The perimeter of the nonagon is 80
when rounded to the nearest ten. Determine the integer side length.

Answers

If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.

Step-by-step explanation:

A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.

[tex]n + n + n + n + n + n + n + n + n = 80[/tex]

or

[tex]9n = 80[/tex]

Solve for n

[tex]n = \frac{80}{9} [/tex]

This rounded would make our interger side, 9

Determine whether the lines 3x+2y=6 and 4y=-6x-12 are parallel, intersect, or coincide

Answers

Answer:

parallel

Step-by-step explanation:

3x + 2y = 6 can be written as y = -3/2x +3

4y = -6x -12 can be written as y= -3/2x-3

same slope different y intercept so parallel

Malin and Shawn begin with the same number, $t$. Malin subtracts $6$ from $t$ and then divides the result by $6$. Shawn adds $7$ to $t$ and then divides the result by $7$. If Malin's final answer is the same as Shawn's final answer, what was the number $t$

Answers

Answer:

t=84

Step-by-step explanation:

Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation

$$\frac{t-6}{6} = \frac{t+7}{7}.$$

To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:

$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$

then simplify to get

$$7\cdot (t-6) = 6\cdot (t+7).$$

The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.

Now we expand using the distributive property:

7t - 7\cdot 6 &= 6t + 6\cdot 7;\\

7t - 42 &= 6t + 42.

Adding $42$ to both sides gives

$$7t = 6t + 84,$$

then subtracting $6t$ from both sides gives $t=\boxed{84}$.

(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)

write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)

Answers

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3).  The new slope is 3.  equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

-2 = 3(-6) + b

-2 = -18 + b

b = 16

The full equation is y=3x + 18

please help with this

Answers

Answer:

[tex]y = \frac{1}{8} x - 3[/tex]

Step-by-step explanation:

Formula for straight lines:

[tex]y = mx + b[/tex]

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]

Substitute b into original formula

[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]

Kinsey adds -1 7/8 and it's opposite

Answers

Answer:

0

Step-by-step explanation:

the opposite is 1 -7/8 when you add them together they cancel out to zero

When you multiply a number by 25, subtract the result from 2000, and divide everything by 5, you will get 150. What is the initial number?

Answers

Answer:

110

Step-by-step explanation:

150*5=750

750+2000=2750

2750/25=110

Answer:

The number is 110

Explanation:

To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110

Step by step:

150×5= 750

=> 750+2000= 2750

2750÷25= 110

if a= { } b= {1,2} then n(a×b) is


Answers

Answer:

A={a,b,c}

B={1,2}

A×B={(a,1),(a,2),(b,1),(b,2),(c,1),(c,2)

Complete all 4 problems

Answers

Answer:

7)-6a

8)7

9)x-1

10)8-k

Step-by-step explanation:

Here in every steps we took like terms to be added and finally there are no more like terms we cannot add nor subtract and we get answer

Answer:

7. -6a

8. 6x +5

9. x + 1

10. -k + 8

Step-by-step explanation:

7. A=1  1-7= -6  a - - 7a = -6a

8. 3x + 3x= 6x

6-1=5

6x+5

9. -8x + 9x = x

3-2 =1

x+1

10. 4+4 =8

k- 2k= -k

-k + 8

Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18. X = â’6 and x = â’3 x = â’6 and x = 3 x = 6 and x = â’3 x = 6 and x = 3.

Answers

The vertical asymptotes of the function are 3 and 6

Given the function

[tex]\frac{x+6}{x^2-9x+18}[/tex]

The vertical asymptotes of the function occur at the point where the denominator is zero.

Equate the denominator to zero.

x^2 - 9x + 18 = 0

Factorize the quadratic expression:

x^2 - 3x - 6x + 18 =0

x(x-3)-6(x-3) = 0

(x-3)(x-6) = 0

x - 3 = 0 and x - 6 = 0

x = 3 and 6

Hence the vertical asymptotes of the function are 3 and 6

Learn more on vertical asymptotes here: https://brainly.com/question/21678319

Find the gradient of the line segment between the points (10,-4) and (6,-16).

Answers

The answer is -3 . Use the gradient formula y2-y1/x2-x1

A blueprint has a scale of 4 inches = 12 feet. What is the scale factor? A. 1 inch = 3 feet. B. 3 inches = 1 foot. C. 4 inches = 12 feet. D. 1 inch = 4 feet

Answers

write it in web and then u will find the answer in a calculator

The solution is Option A.

The scale factor of the blueprint is given by the equation 1 inch = 3 feet

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A blueprint has a scale of 4 inches = 12 feet

So , the value of equation A is

4 inches = 12 feet

Divide by 4 on both sides of the equation , we get

4 inches / 4 = 12 feet / 4

On simplifying the equation , we get

1 inch = 3 feet

Therefore , the value of A is 1 inch = 3 feet

Hence , the scale factor of the blueprint is 1 inch = 3 feet

To learn more about equations click :

https://brainly.com/question/19297665

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simplify the expression.

Answers

Answer:

-6m^2 *n^2

Step-by-step explanation:

formula: (m^x)/(m^y)= m^(x-y)

apply formula for (4m^2)/(2m^-3)

=(4m^(2--3)/(2)

=4m^5/2

divide 4/2

=2m^5

next part 3n^5/(-mn)^3

3n^5/(-mn)^3

expand

=3n^5/ (-m^3*n^3)

=3n^(5-3)/ -m^3

=3n^2/ -m^3

both parts:

(2m^5* 3n^2)/ -m^3

= -(2m^5* 3n^2)/ m^3

= -(2m^(5-3)* 3n^2)/ 1

= -(2m^2* 3n^2)

= -(6m^2*n^2)

= -6m^2 *n^2

Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
?

Complete the following equation for a line passing through point C and perpendicular AB.?

Answers

Answer:

5y - 6x = 8 or y = 6x/5 + 8/5

Step-by-step explanation:

let M1= gradient of line AB and M2= gradient of the second line

When two lines are perpendicular, the product of their gradients is -1

i.e, M1M2= -1

M2= -1/M1

A(2,9) and B(8,4)

gradient= (y2-y1)/(x2-x1)

M1= (4-9)/(8-2)

= -5/6

M2= -1÷ -5/6

-1 × -6/5= 6/5

Equation of the line passing through C(-3,-2)

[y-(-2)]/[x-(-3)= 6/5

(y+2)/(x+3)= 6/5

5(y+2)= 6(x+3)

5y+10=6x+18

5y= 6x + 8

y= 6x/5 + 8/5

As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.

What is the slope-intercept form of a straight line?

The slope-intercept form of a straight line is: y = mx + c

Here, m = slope of the line , c = y-intercept

What is the relation between the slope of a line perpendicular to another line?

If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).

The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.

Therefore, the slope of the line AB is (m)

= (y₂ - y₁)/(x₂ - x₁)

= (4 - 9)/(8 - 2)

= (- 5)/6

Slope of the required line is perpendicular to AB.

Therefore, the slope of the required line is

= - 1/(- 5/6)

= 6/5

This line passes through point C(- 3, - 2).

- 2 = - 3(6/5) + c

⇒ c = -2 + 18/5

⇒ c = 8/5

The equation of the required line is

y = (6/5) x + (8/5)

⇒ 5y = 6x + 8

Learn more about the slope-intercept form of a straight line here: https://brainly.com/question/19465597

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Solve by using the quadratic formula. (If there is no solution, enter NO SOLUTION.)

1/7x^2+1=3/7x
smaller value of x =
larger value of x=

Answers

[tex]\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2[/tex]

help help help help help

Answers

Answer:

i think the center (-7,6) and r = 7

how to find the intervals of increasing and decreasing

Answers

Answer:

Given a function f(x), for determining in what intervals the function is increasing (or decreasing) you can calculate its derivative f'(x) and put it greater than 0 (or smaller than 0). It will give you some intervals.

math question help plsss

Answers

Answer would be C
Point A is at (1,1) then point B is three units down and point C is three over from point B :)

a
Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.

Answers

Answer:

Warrior WiFi is better because it costs 167.50 for 175 texts.

Step-by-step explanation:

2x175 = 350 + 20 = 370

0.50x175 = 87.5 + 80 = 167.5

help this is due today?​

Answers

Answer:

2s for the first box

6u for the second box

Step-by-step explanation:

when they say like terms, just think about how the letter parts of the expression are the same

like 1/2s and 2s both have the singular variable s

and how 6u and 9u both have the singular variable u

To solve this one you have to find the ones that are connected by variables or look the same

For example.

1x and 2x are like terms because they have the same variable X

4d and 6/2d are like terms because they have the same variable D

4 and 3 are like terms because they have no variables, and they are the same

So now that you understand what like terms are you may so it

1/2 and 2s are like terms because they share the same variable S

6u and 9u are like terms because they share the same variable U

I hope this helped and if it's wrong blame me

Ps. Brainlist would really help

someone please help me with this question, pleaseeeee :/


tyyyyy!

Answers

Answer:

4x+9y-27=0

compare and fill em

hope it helps

Answer:

2

Step-by-step explanation:

y=1y

x=1x

so the answer will be 2.

may be

hope to help!!!

Each child in the Martin family decided to save money for the family vacation.

Mrs. Martin asked the children to show how they would spend the money if given $20 each week for 8 weeks.


Which person would have the most money left for the vacation?

Answers

Answer:

The story is not clear enough to provide the answer

Step-by-step explanation:

First of all we do not know how many childen are in the Martin Family

[tex]20 \times 8[/tex]

=$160

So depending on how each child sends and how many children will determine which kid will have most of the money left

How do I solve this question?

Answers

Answer:

A

Step-by-step explanation:

throat bababy

A photographer charges $12 for a set of 20 pictures. Each picture cost the same amount. At this rate, how many pictures cost $30?

Answers

Answer:

Step-by-step explanation:

20/12 = 1 2/3

30 ÷ 1 2/3

= $18

Select all equations that represent this question:

Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 1/2 feet tall, which is 5/8 of the hight of the tower she wants ti build. How tall is the tower when finished?

Answers

Answer:

4 feet tall

Step-by-step explanation:

First find the unit rate of how close she is to being completed / the height of the tower

2.5/5 =.5

Next, multiply .5x8 = 4 feet fall when she is done

Use the graph to describe what transformation has taken place. List your answer below.

Please help! I'll give brainliest. ​

Answers

Answer:

Reflection over y-axis (-x,y)

Step-by-step explanation:

Reflection over y-axis (-x,y)

A (-2 , 4) , A'( 2,4)

you can check the rest.

Evaluate P(3, 3)

A. 1
B. 9
C. 6

Answers

Answer:

6

Step-by-Step explanation:

P (n,k) where n=k is equal to n!

So, P (3,3)  = 3! = 6

Generally, P (n,k) = n!/(n-k)!

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