If a +b+c=9 and a square +b square +square =1 then ab+bc+ca

Answers

Answer 1

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca


Related Questions

3/4 + 1/3 as a fraction

Answers

Answer:

Step-by-step explanation:

Answer:1 1/12

Step-by-step explanation: 3/4+1/3=13/12=1 1/12

What is the main purpose of Business sustainability 2. Research and discuss the role of environmental management in sustainable business development 3. Discuss on the pillars of sustainability development 4. Research and discuss The Role of Stakeholder Analysis for Sustainable Development: Experiences from Rubber Cultivation in Southwest China

Answers

The main purpose of business sustainability is to achieve long-term success by balancing economic, social, and environmental concerns. It involves integrating sustainable practices into business strategies to create positive impacts on the environment, society, and stakeholders while ensuring profitability and resilience.

Environmental management plays a crucial role in sustainable business development. It involves identifying and managing environmental risks, implementing eco-friendly practices, reducing resource consumption, minimizing waste generation, and promoting environmental stewardship. By incorporating environmental management into their operations, businesses can enhance their sustainability performance, comply with regulations, improve brand reputation, and contribute to a healthier planet.

Stakeholder analysis plays a vital role in sustainable development, particularly in the context of specific industries or sectors. In the case of rubber cultivation in Southwest China, stakeholder analysis helps identify and understand the diverse stakeholders involved, such as rubber farmers, local communities, government agencies, environmental organizations, and consumers. By analyzing stakeholders' interests, concerns, and power dynamics, sustainable development initiatives can be tailored to address their needs effectively. Stakeholder engagement and collaboration are crucial for promoting sustainable practices, ensuring social acceptance, mitigating conflicts, and achieving sustainable outcomes in rubber cultivation and other industries.

Environmental management plays a vital role in sustainable business development. It involves assessing and managing environmental risks, implementing eco-friendly practices, complying with environmental regulations, and monitoring environmental performance. By adopting sustainable production processes, minimizing resource consumption, reducing emissions and waste generation, and promoting environmental stewardship, businesses can enhance their environmental performance. Effective environmental management not only benefits the environment but also leads to cost savings, improved efficiency, enhanced brand reputation, and reduced regulatory risks.

The pillars of sustainable development provide a framework for addressing the interconnectedness of economic, social, and environmental aspects. The economic pillar emphasizes the need for sustainable economic growth, productivity, and innovation while ensuring equitable distribution of resources. The social pillar highlights the importance of social well-being, equality, human rights, and inclusivity. The environmental pillar recognizes the significance of environmental conservation, resource efficiency, pollution prevention, and climate change mitigation. These pillars are interdependent, and progress in one pillar can influence the others. Sustainable development requires a balanced and integrated approach that considers all three dimensions.

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X/4 + 9 = -13 help please

X/4 + 9 = -13 help please

Answers

Answer:Subtract  

from both sides of the equation

from both sides of the equation

Multiply all terms by the same value to eliminate fraction denominators

Answer:

x= -88

Step-by-step explanation:

We move all terms to the left:

x/4+9- (-13)=0

Then we add all the numbers together, and all the variables:

x/4+22=0

We multiply all the terms by the denominator:

x+22*4=0

We all all the numbers together, and all the variables:

x+88=0

We move all the terms containing x to the left, all other terms to the right:

x= -88

The formula below gives the area of a semi-circle, A, with a radius of r.



Solve the formula for the radius

Answers

Please provide the formula for me to answer

The area of a semicircle with respect to radius is √2A/π sq. units.

What is a semicircle?

A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.

The area of a semicircle = π × radius² / 2

So, the area with respect to radius will be =

A =  π × radius² / 2

2A = π × radius²

2A / π = radius²

Radius = √2A/π

Hence, the area of a semicircle with respect to radius is √2A/π sq. units.

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video if 10% of the students in a certain school are left-handed, what is the probability that 2 or fewer students are left-handed in a random sample of 70 students from the school? use excel to find the probability. round your answer to four decimal places.

Answers

Using Excel, the probability that 2 or fewer students are left-handed in a random sample of 70 students from a school where 10% of the students are left-handed can be calculated as approximately 0.9999.

To calculate the probability using Excel, we can utilize the binomial distribution function. The binomial distribution is appropriate for situations with a fixed number of independent trials (sampling 70 students) and two possible outcomes (left-handed or not left-handed).

In Excel, the formula to calculate the probability of 2 or fewer left-handed students can be written as "=BINOM.DIST(2, 70, 0.1, TRUE)". Here, "2" represents the number of left-handed students (or fewer) we want to calculate the probability for, "70" is the total number of students in the sample, and "0.1" is the probability of a student being left-handed (10% or 0.10).

Evaluating this formula in Excel yields a probability of approximately 0.9999 when rounded to four decimal places. This implies that there is an extremely high probability (close to 100%) of having 2 or fewer left-handed students in a random sample of 70 students from the school, given that the overall proportion of left-handed students in the school is 10%.

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Choose the answer based on the most efficient method as presented in the lesson.

If the first step in the solution of the equation -8 - 7x = -5x - 10 is "add 10," then what should the next step be?


add 7x

add 8

add 5x

Answers

Answer:

The answer is add 7x.

Step-by-step explanation:

When the first step is to add 10 to both sides :

\( - 8 - 7x = - 5x - 10\)

\( - 8 - 7x + 10 = - 5x - 10 + 10\)

\( - 7x + 2 = - 5x\)

Next, you have to add 7x to both sides to eliminate -7x on the left side :

\( - 7x + 2 = - 5x\)

\( - 7x + 2 + 7x = - 5x + 7x\)

\(2 = 2x\)

Answer:

add 7x

Step-by-step explanation:

This would be the answer because if you have already added 10 to the right side of the equation and have erased the constant, you would then need to erase the variable on the other side to make it equal. The variable on the other side is 7x, which gives you the answer.

Identify whether or not each pair of terms can be combined to so oily the expression (3x + 1) + (2x -5)

* look at the image

Identify whether or not each pair of terms can be combined to so oily the expression (3x + 1) + (2x -5)

Answers

Answer:

3x and 2x can be combined bc it has ex at the end.

1 and 2x cannot be combined bc 1 doesn't have an x.

1 and -5 can be combined

please please please help me

please please please help me
please please please help me
please please please help me

Answers

Answer:

For the first one, the answer would be:

2/3 * 3/8 = 6/24 because,  all you have to do is multiply straight across.

2 * 3 = 6 and 3 * 8 = 24

6/24 can be simplified to 1/4 because 6 with go into the denominator 4 times, so the simplified fraction will be 1/4.

(Im not so sure what to do about the second one, so I would need to see what the options look like)

For the third:

The answer would be 3/3, because:

2 * 3 = 6

5 * 3 = 15

And the result fraction is 6/15, which matches what the image shows!

Step-by-step explanation:

Hope it helps! =D

I NEED HELP ASAP PLSSS

The matrix equation represents a system of equations.

A matrix with 2 rows and 2 columns, where row 1 is 2 and 7 and row 2 is 2 and 6, is multiplied by matrix with 2 rows and 1 column, where row 1 is x and row 2 is y, equals a matrix with 2 rows and 1 column, where row 1 is 8 and row 2 is 6.

Solve for y using matrices. Show or explain all necessary steps.

I NEED HELP ASAP PLSSSThe matrix equation represents a system of equations.A matrix with 2 rows and 2

Answers

The solution to the system of equations is

x = -3 and y = 2

How to solve the matrix equation

The matrix equation is written as a linear equation by using matrix multiplication to get

2x + 7y = 8

2x + 6y = 6

Then solving simultaneously  by substitution method we have

Step 1:

Solve 2x + 6y = 6, in terms of x.

From the second equation:

2x = 6 - 6y

x = 3 - 3y

Step 2:

Substitute the expression for x in terms of y into the other equation.

2(3 - 3y) + 7y = 8

6 - 6y + 7y = 8

y = 2

Step 3:

Substitute the value of y back into one of the original equations to solve for x.

2x + 7(2) = 8

2x + 14 = 8

2x = -6

x = -3

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Dakari makes 2 dozen jars of jam. The total weight of all of the filled jars is 211.2 ounces. When empty, each jar weighs 1.2 ounces. The equation can be used to calculate the weight, j, of jam in one jar. The weight of jam in one jar is ounces

Answers

Answer:

Step-by-step explanation:

Total weight of all of the filled jars with jam = 211.2 ounces

When empty, each jar weighs 1.2 ounces

Total weight of 2 dozens of empty jar = 24 × 1.2 ounces

= 28.8 ounces

Total weight of jam in 2 dozens jar = Total weight of all of the filled jars with jam - Total weight of 2 dozens of empty jar

= 211.2 ounces - 28.8 ounces

= 182.4 ounces

The weight of jam in one jar = 182.4 ounces / 24 jars

= 7.6 ounces

The weight of jam in one jar = 7.6 ounces

What does PEMDAS Mean??
How do you solve for a triangles hight?
z

Answers

Answer:

parenthesis

exponents

multiply

divide

add

subtract

Step-by-step explanation:

cant help you on the other question sorry

Answer:

Pemdas,

Parenthesis, exponents, multiplication, division, addition, subtraction

-A way to remember the order is to say Please Excuse My Dear Aunt Sally

The triangle height formula would be

h= 2*A/B

If f(x) = 2 + 1, then f(3) =

If f(x) = 2 + 1, then f(3) =

Answers

Answer:

Search it up then you will get the answer

Step-by-step explanation:

Answer:

D.9

Step-by-step explanation:

Plug in 3 for x.

2^3=8

8+1=9

I don’t understand the questions

I dont understand the questions

Answers

The solutions to the expressions using laws of exponents are;

17) y^(19/28)

18) 1/a^(5/9)

How to use Laws of Exponents?

The product rule of exponents states that "To multiply two expressions with the same base, add the exponents while keeping the base the same". Thus;

y² × y³ = y²⁺³

= y⁵

17) y^(3/7) × y^(1/4)

Applying product rule of exponents gives;

y^(³/₇ + ¹/₄)

= y^(19/28)

18) The negative exponent rule states that: To convert any negative exponent into positive exponent, the reciprocal should be taken." Thus;

x⁻³ = 1/x³

Thus;

a^(-5/9) = 1/a^(5/9)

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You took a test that had 45 questions. You got 42 correct. What percent of the questions did you get correct

Answers

42/45
= 0.933333333333333
0.933333333333333 x 100
= 93.3%

pleasee help me fast

pleasee help me fast

Answers

Therefore, the expression that can be used to determine YK is (48)tanK that is option D.

What is triangle?

A triangle is a closed two-dimensional geometric shape that is formed by connecting three non-collinear points with straight line segments. Each of these line segments is called a side, and the point where two sides meet is called a vertex. A triangle has three vertices, three sides, and three angles. Triangles can be classified based on the length of their sides and the size of their angles.

Here,

In the right triangle MYK, where MY = 48 units, MK = 73 units, and angle Y = 90 degrees, we can use trigonometric functions to find the length of YK. The trigonometric functions that relate to the sides and angles of a right triangle are:

Sine: sinθ = opposite/hypotenuse

Cosine: cosθ = adjacent/hypotenuse

Tangent: tanθ = opposite/adjacent

To find YK, we need to use the tangent function because we know the opposite and adjacent sides (MY and MK). So, the correct expression to determine YK is: (48)tanK

The other expressions given are:

(73)sinK: This expression would be used to find the opposite side, not YK.

(73)cosK: This expression would be used to find the adjacent side, not YK.

(48)tanM: This expression doesn't relate to the right triangle MYK since there is no angle M in the triangle.

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8. Complete the table below by drawing an example of each shape.

8. Complete the table below by drawing an example of each shape.

Answers

Answer:

Please see attachment.

The first one is a quadrilateral that is not a parallelogram.

The second one is a triangle with a right angle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

8. Complete the table below by drawing an example of each shape.
8. Complete the table below by drawing an example of each shape.

Rewrite the following equation in slope-intercept form. y - 10 = 4(x - 3)​

Answers

Answer:

y=4x-2

Step-by-step explanation:

What is the radius of a circle with circumstance 27 in?

Answers

Answer:

4.3 in.

Step-by-step explanation:

hope this helps :)

What is 2x-6 = 3x+1-X-7 and you have to regroup/ divide by number next to x?

Answers

Answer:

infinite solutions

Step-by-step explanation:

2x-6 = 3x+1-X-7

Combine like terms

2x-6 = 3x-x +1-7

2x-6 = 2x -6

subtract 2x from each side

-6 = -6

Since this is a true statement, x can be any real number

Ivan is an artist. He creates 1 sculpture for every 6 paintings. If he has created 54 paintings, how many sculptures has he created?

A.)324
B.)9
C.)252
D.)42

Answers

Ivan has created 9 sculptures.

We know, ratio is a comparison between two quantities or numbers. It expresses how many times one quantity is contained in another or how the two quantities relate to each other.

To find the number of sculptures he has created, we need to divide the number of paintings by the ratio of paintings to sculptures.

Number of paintings: 54

Ratio of paintings to sculptures: 6 paintings : 1 sculpture

Number of sculptures

= Number of paintings / Ratio of paintings to sculptures

= 54 / (6/1)

= 54 / 6

= 9

Therefore, Ivan has created 9 sculptures.

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Let X(n) be the number of letters printed by procedure Print Xs() below if the input is n (where n ≥ 1). (i) Give the exact formula for X(n) using the notation. (ii) Give the exact closed-form formula for X(n) expressed as a polynomial function. (iii) Give the asymptotic value of X(n) using the e-notation. Justify your answer. procedure PrintXs(n) for i 1 to 4n+ 1 for j← 1 to i do print ("X")

Answers

the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

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PLEASE HELP!!! given ƒ(x) = x+1 and g(x) = x^2, what is (g o f) (x)?
(g o f) (x) = x^2 + x + 1
(g o f) (x) = x^2 (x+1)
(g o f) (x) = x^2 + 1
(gof) (x) = (x + 1)^2
Please answer a, b, c, or d

Answers

Step-by-step explanation:

(gof)(x)=(x+1)²

hope it helps

stay safe healthy and happy.

The function (gof)(x) is x²+x+1.

What is function of functions and how are they represented?

The function of function, as the name suggests, is functions applied over functions themselves. This is also called function composition.

We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on the first input is called the function of functions.

The resultant function which maps the input x to the final output is called the function of a function.

If the first function is g and the other function is f, then we can write the resultant function of the function as

(fog)x = f(g(x))

It is Given f(x) = x + 1 and g(x) = x^2, we need to find (g o f) (x)

(g o f)(x) = g(x) + f(x)

=  x² + x + 1

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John has taken six quizzes in his statistics class. His
scores on these quizzes are listed below.
71, 75, 76, 80, 85, 87
He finds that the mean is 79.0 and the median is 78.0
for these six quiz scores. If John earns a 100% on the
next exam, what will the new mean and median be?
O The new mean will be 82.0 and the new median will
be 78.0.
O The new mean will be 82.0 and the new median will
be 80.0.
O The new mean will be 89.5 and the new median will
be 78.0.
O The new mean will be 89.5 and the new median will
be 80.0

John has taken six quizzes in his statistics class. Hisscores on these quizzes are listed below.71, 75,

Answers

Answer:

The new mean will be 82.0 and the new median will be 80.0.

Step-by-step explanation:

To find the mean, we must divide the sum of terms by the number of terms.

71+75+76+80+85+87+100 = 574Divide 574 by 7 because there are 7 quiz scores574 ÷ 7 = 82

The new mean is 82

To find the median, we need to find the middle number of the set

Order the numbers up: 71, 75, 76, 80, 85, 87, 10080 is in the middle

The new median is 80

PLEASE HELP!!!!
Type the correct answer in each box. Spell all words correctly.
B
4
+2
A
с
-4
A
B
A sequence of transformations maps ABC onto "B'C'. The type of transformation that maps AABC onto ABC is a
When AA'BC is reflected across the line x = -2 to form MA'B'C', vertex
of AB'C' will have the same coordinates as B.

PLEASE HELP!!!!Type the correct answer in each box. Spell all words correctly.B4+2A-4ABA sequence of

Answers

Answer:

1. Reflection

2. B"

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

The type of transformation which maps the triangle ABC to A'B'C' is given by reflection and the vertex of B' after reflection is B''

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the triangle be represented as ΔABC

Now , the transformed triangle is A'B'C'

where the triangle is reflected along the x axis

So , the reflected triangle is ΔA'B'C'

Now , the triangle ΔA'B'C' is reflected along the line x = -2

So , the reflected triangle is ΔA''B''C''

And , the vertex of B' after reflection is B''

Hence , the transformation is reflection of triangle ABC

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simple true and false question

simple true and false question

Answers

Answer:

true

Step-by-step explanation:

False, the value would be -2

The research unit of a tea company finds that Earl Grey tea is best brewed within atemperature range of six degrees above or below 220°F.What is the lowest temperature at which Earl Grey tea can be brewed properly?

Answers

Answer:

214 ºF is the lowest temperature

Step-by-step explanation:

Temperature range of six degrees above or below 220°F:

This means that it should be brewed properfly between

220 - 6 = 214 ºF

and

220 + 6 = 226 ºF

214 ºF is the lowest temperature

226 ºF is the highest temperature.

75.04 ÷ 0.8 = ? what does it equal to

Answers

Answer:

93.8

Step-by-step explanation:

Answer each question to the best of your ability.
a) How many ways can the letters of SPARKY be arranged?
b) How many ways can the letters of SLEEPS be arranged?
Use Pascal’s Triangle to answer part

Answers

To find out how many ways the letters in SPARKY can be arranged, we can use the formula for permutation. For a set of n objects, the number of permutations of r objects is given by:

P(n,r) = n! / (n - r)!

a) So for SPARKY, there are 6 letters, so n = 6. We want to find the number of permutations of all 6 letters, so

r = 6.P(6,6) = 6! / (6 - 6)!P(6,6) = 6! / 0!P(6,6) = 720

So there are 720 ways to arrange the letters in SPARKY.

b) Again, we can use the formula for permutation to find the number of ways the letters in SLEEPS can be arranged. There are 6 letters in SLEEPS, so n = 6, and we want to find the number of permutations of all 6 letters, so

r = 6.P(6,6) = 6! / (6 - 6)!P(6,6) = 6! / 0!P(6,6) = 720

So there are 720 ways to arrange the letters in SLEEPS. Use Pascal’s Triangle to answer part

You didn't provide the actual question or prompt that asks to use Pascal's Triangle. Please provide it so I can give you a specific answer using Pascal's Triangle.

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please please please help me guys

please please please help me guys

Answers

Answer:

B

Step-by-step explanation:

Ok..

15 squared - 12 squared = x

I don't know why you need help on something like this?

Please don't cheat in class.

Find an equation of the plane with x-intercept (a,0,0), an y-intercept (0,b,0), and an z-intercept (0,0,c), where a, b, and c are positive real numbers. Please explain this in details.

Answers

The equation of the plane with x-intercept (a,0,0), a y-intercept (0,b,0), and a z-intercept (0,0,c) where a, b, and c are positive real numbers can be obtained by x/a + y/b + z/c = 1.

For a plane passing through three non-collinear points, we know that the equation of the plane is given by Ax+By+Cz=D

where (x,y,z) is any point on the plane and A, B, C, and D are constants.

Using this formula we find that our plane is given by

x/a + y/b + z/c = 1

Let's verify the x-intercept: For x-intercept (a,0,0), we know that x=a.

Substituting this in the equation of our plane, we get a/a + 0/b + 0/c = 1 => 1/b + 1/c = 1/a

Similar to this, we can also obtain

b/b + 0/a + 0/c = 1 => 1/a + 1/c = 1/b  and  c/c + 0/a + 0/b = 1 => 1/a + 1/b = 1/c

So the equation of the plane with x-intercept (a,0,0), a y-intercept (0,b,0), and a z-intercept (0,0,c) where a, b, and c are positive real numbers is given by x/a + y/b + z/c = 1.

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