All categories

3 years ago

What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

Answer:

2x² - 5xy - 2y²

Step-by-step explanation:

Subtract x² + xy + y² from 3x² - 4xy - y² to obtain the expression to be added

3x² - 4xy - y² - (x² + xy + y² ) ← distribute by - 1

=3x² - 4xy - y² - x² - xy - y² ← collect like terms

= 2x² - 5xy - 2y²

Thus

adding 2x² - 5xy - 2y² to x² + xy + y² gives 3x² - 4xy - y²

You might be interested in

Classify the following expression by degree and term: x2y − 7xy + xyz + x

goldfiish [28.3K]

3rd degree polynomial with 4 terms

4 0

3 years ago

Read 2 more answers

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the

Alexandra [31]

Hello :
<span>x² + y² + 14x + 2y + 14 = 0
(x²+14x)+(y²+2y)+14=0
(x²+2(7)(x) +7²) -7² +( y²+(2)(1)y+1²)-1² +14 = 0
(x+7)² +(y+1)² = 6²
the center : (-7,-1) and </span><span>length of the radius is : 6</span>

4 0

3 years ago

Read 2 more answers

The median starting salary for new law school graduates is determined by

Elena-2011 [213]

Step-by-step explanation:

1) we would have the expectation that b₅ < 0 because b₅ shows how salary responds to law school ranking. As the rank of law school increases then median starting salary for new law school graduates declines. there is an inverse relation between salary and rank, Coefficient of rank, b5 will be negative since it is less than 0

ii) B₁ is going to be positive because as median LSAT score for the graduating class goes up, so does the salary of graduates. we have B1 >0

B₂ will be positive as college median GPA rises, so does graduate salary.

B₃ will be positive because if the more volumes of book in library, the greater possibility of getting higher salary, so B₃ >0.

B₄ >0 as if annual cost is high , then there would be indictaes more facilities of learning for students, leading to more chances of high salaries , hence B4 >0.

B5<0 this has been explained in 1.

iii) predicted ceteris paribus difference in salary for schools with a median GPA different by one point

= coefficient of GPA

=0.248

= this 24.8% in percentages B₂ tells us that when other factors are held constant,increasing median gpa by 1 would cause 24.8 percent increase in salary predicted.

iv)holding other variable factors constant, increasing the volume in the law library would bring about predicted salary increase by 0.095%

v) due to the inverse relationship between rank of law school and salary, it is better to attend a law school with lower rank than that with higher rank

difference in ranking of 20 = 20*(-0.0033)

= -0.066 x 100

= -6.6%

if rank is lower by 20 units , then we will have salary to be 6.6% higher

8 0

3 years ago

Can any one help with this

natka813 [3]

Answer:

I know this isn't the whole answer but basicely just keep doing this to find the y-incercept

slope=-2.46

Hope This Helps!!!

4 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. Complete the statements about these similar pyramids. Two square pyramids A

Scrat [10]

The ratio of the heights of these pyramids is 3 : 1, the ratio of the base areas is 9 : 1 and the ratio of the volumes is 27 : 1.

<h3>What is ratio?</h3>

Ratio can be defined as a mathematical expression which denotes the proportion of two (2) or more physical quantities to one another and the total quantities.

The ratio of the heights of these pyramids is given by:

Ratio = Height of pyramid A : Height of pyramid B

Ratio = (3V/lw) : (V/lw)

Ratio = 3 : 1.

The ratio of the base areas of these pyramids is given by:

Ratio = Base area of pyramid A : Base area of pyramid B

Ratio = (3a)² : a²

Ratio = 9a : a

Ratio = 9 : 1.

The ratio of the volumes of these pyramids is given by:

Ratio = Volume of pyramid A : Volume of pyramid B

Ratio = (3l × 3w × 3h)/3 : (l × w × h)/3

Ratio = 27 : 1.

Read more on pyramid here: brainly.com/question/16315790

#SPJ1

8 0

2 years ago

What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2​

What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2