Mathematics College

Let xy=6 and x2 + y2 = 23 what is the value of (x+y)??

Answers

Answer 1

Answer:

I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.

Step-by-step explanation:

This problem invovles completing the square, so if I square (x+y), I get

x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.

Related Questions

-3x/2+4=16
What is x?

Answers

Answer:

-8

Step-by-step explanation:

-4 both sides & 16-4 is 12.. -3/2x equals 12 so to solve for x, you would multiply 2 by both sides. You end w -3x equals 24. You then divide -3 both sides and 24/-3 is -8... hopee that helps? :)

Simplify square root -200

Answers

Answer:

10 i sqrt 2

Step-by-step explanation:

i indicates that it is an imaginary number. this is because 200 is negative.

The simplified form of the given square root number is 10i√2. Therefore, the correct answer is option D.

The given square root number is √-200.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Here, 200 = 2×2×2×5×5

Thus, √-200=√-2×2×2×5×5

=2×5×i√2

= 10i√2

Therefore, the correct answer is option D.

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PLZ ANSWER!!!

ALMN and A NOP similar right triangles. The coordinates of all the vertices are integers.

A. The relationship between the slope of LN and the O slope of NP cannot be determined, because the triangles are congruent.

B.The slope of LN is greater than the slope of NP This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for LN than for NP.

C.The slope of LN is less than the slope of NP This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for LN than for NP

D. the slope of LN is equal to the slope of NP. this this because ratio of the change in x values of the endpoints is the same for LN as for NP

Answers

Answer:

D . the slope of LN is equal to the slope of NP. this this because ratio of the change in x values of the endpoints is the same for LN as for NP

Step-by-step explanation:

LMN and A NOP similar right triangles. The coordinates of all the vertices are integers.

Since the triangles are similar, we can the ratio of the sides are equal

OP NM

----- = -----

NO LM

OP/ NO is the slope of LN and

NM/ LM is the slope of NP

They are equal so the slopes are the same

Need help ASAP on a timer

Answers

Step-by-step explanation:

Here are recipes for two mixtures of salt and water that taste different. Mixture A: salt (teaspoons) water (cups) 4 5 7 8 3/4 9 11 1/4 Mixture B is defined by the equation y=2.5x , where x is the number of teaspoons of salt and y is the number of cups of water. Respond to the following questions: 1. If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. 2. Which mixture tastes saltier? Explain how you know.

Answers

Answer:

1.) Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2.) Mixture A

Step-by-step explanation:

Given the daya:

MIXTURE A

___Salt A(teaspoons _____water (Cups)

___4 _____________5

___7 _____________8 3/4

___9 _____________ 11 1/4

Mixture B is defined by the equation'

y = 2.5x ;

x = number of teaspoons of salt ;

y = number of cups of water

Respond to the following questions:

1.) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning.

For mixture B:

If number of cups of water, y = 10

y = 2.5x ; 10 = 2.5x

10/2.5 = x

x = 4 ; 4 teaspoons of salt

Let's write an equation in terms of y and x to represent mixture A.

Mixture A:

5 = k4

k = 5/4

k = 1.25

Equation for mixture A:

y = 1.25x

10 = 1.25x

10/1.25 = x

x = 8 ; 8 teaspoons of salt

Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2. Which mixture tastes saltier? Explain how you know.

Mixture A is saltier as it makes use of more teaspoons of salt for the same amount of water.

1. Mixture A will use 4 more teaspoon of salt

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

Recall:

A proportionate relation is defined by the formula: y = kxk is the constant of proportionality or unit rate between two variables.

From the information given:

x = quantity of salt (teaspoons)y = quantity of water (cups)

Therefore, k = y/x

Equation for mixture B is given as: y = 2.5x

Using a pair of values from the table for mixture A, let's find the constant of proportionality and the equation that defines Mixture A.

Using (4, 5):

k = y/4 = 5/4 = 1.25

Thus, substitute k = 1.25 into y = kx

Equation for Mixture A is: y = 1.25x

1. Let's find the mixture that will have more salt if y = 10 (cups of water).

Substitute y = 10 in each equation that defines each mixtures

Mixture A: y = 1.25x

10 = 1.25x

Divide both sides by 1.25

8 = x

x = 8

Amount of salt you will have in mixture A is you use 10 cups of water is 8 teaspoons

Mixture B: y = 2.5x

10 = 2.5x

Divide both sides by 2.5

4 = x

x = 4

Amount of salt you will have in mixture A is you use 10 cups of water is 4 teaspoons

Thus, Mixture A will use 4 more teaspoon of salt.

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

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2 1/4 hrs are how many seconds

Answers

Answer:

8100 seconds

Step-by-step explanation:

2 1/4 = 2.25

2.25 x 3600 = 8100

What is the quotient of : 4.652/.3

Answers

Answer:

15.51

Step-by-step explanation:

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11? Plus-or-minus one-eleventh, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus5 Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11 Plus-or-minus one-eleventh, plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11 0, Plus-or-minus one-eleventh, Plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11

Answers

Answer:

Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11

Step-by-step explanation:

According to the Rational Root Theorem, the potential roots of f(x) = 5x² – 7x + 11 are; Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11.

Rational Root Theorem:

The given function is; f(x) = 5x² – 7x + 11

On this note; Using the rational Root Theorem while determining the root; we have;

f(x) = 0 = x² -7/5x + 11/5.

The possible roots are therefore the factors of the constant, 11/5 and are as follows;

±11/5±1±11±1/5.

Answers

Answer:7

Step-by-step explanation:

RECO
Which expression is equivalent to 3x – 1/2y+2 2/3y-5/6x

Answers

Answer:

13 ( x + y ) / 6

A line passes through the point (-10, – 7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.

Answers

y = 5/2x + 10

I hope this helps :D
Ask if you have any questions

a softball team wants to sell $8,500 worth of tickets for its upcoming season. if each ticket cost $18 how many tickets will the team have to sell to reach their goal?

Answers

Answer:

473 tickets

Step-by-step explanation:

8,500/18=472.2222222 but, since you can’t sell only part of a ticket, you’ll round up to get 473 tickets.

order the numbers from least to greatest please help

Answers

Answer:

-2,-7/4, 1/2, square root of 5, 2.4

Step-by-step explanation:

Answer:

-2, -1.75, 1/2, [tex]\sqrt{5}[/tex], 2.4

Step-by-step explanation:

1/2

-2

√5≈2.24

-1.75

2.4

-2, -1.75, 1/2, [tex]\sqrt{5}[/tex], 2.4

1. What is the surface area of the polyhedron? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

i counted the square me good at counting

24 I hope this helps

Suppose you want to put sprinkles on cupcakes. You have 2/3 of a bag of sprinkles and you only need 1/9 of the bag per batch how many batches can you cover with sprinkles?

Answers

Answer:

i think 6

Step-by-step explanation:

2/3 divided by 1/9 then , 2 times 9 then. 3 times 9 = 18/3 if you simplifying the answer is 6

A bride is choosing a dress for her bridesmaids. If there are 4 styles, 7 colors, and 5 fabrics, in how many ways can she select the bridesmaids' dress?

Answers

Answer: 60

Step-by-step explanation: multiply 4,7,and 5

She can select the bridesmaids' dress in 140 possible ways.

What is Permutation?

Permutation represents each of the several possible ways in which a set or number of things can be ordered or arranged.

Given is a bride who is choosing a dress for her bridesmaids which are available in 4 styles, 7 colors, and 5 fabrics.

Now, for every possible style there exist a dress for that color. So, with 4 styles and 7 colors, the total number of possible dresses will be = 7 x 4 = 28. Now, for these 28 dresses, their are 5 different fabric available, so the total number of possible ways or dresses from which she can select the dress are = 28 x 5 = 140

Therefore, she can select the bridesmaids' dress in 140 possible ways.

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what is the value of the expression below (4 * 7) - [(10 * 2 ) - 1 ]

Answers

Answer:

Step-by-step explanation:

Plz solve for brainlistMarlene runs 4 km in 30 min. At this rate,
can Marlene run 6 km in 45 min?
Complete the following calculation an

d
explanation. Use the Communication
Checklist.

Answers

Answer:

comparing rates.. use the formula d = r * t where d= distance , r = rate or speed and t = time ofc. :)

Step-by-step explanation:

we know the distance and the time but not the rate.. find that r ....

d/t = r 4/30 = r = 0.13333333333 this is in Km per minute, b/c the 4 is Km and the 30 is in minutes. Units are not to important other than keeping track of what they are.

Now we can answer the question can Marlene run 6 Km in 45 mins. b/c we know her rate , or speed, so at her rate of 0.133333333 Km/min and using that d = r * t formula what is her distance in 45 minutes.. so multiply 45 * 0.133333= 6 so she runs exactly 6 Km in 45 minutes.. so the math answer is yes

I need help is anyone is out there and knows how to do this help.
HELP ASAP

Answers

Answer:

Sorry i have no idea hahha

Step-by-step explanation:

Good luck

Choose a true statement.
g(x) is not a function because f(x) is not a
function.
O g(x) is not a function because f(x) is not one-
to-one.
O g(x) is a function because f(x) is one-to-one.
O g(x) is a function because f(x) is not one-to-
one.

Answers

Answer: c

Step-by-step explanation:

The correct statement is that g(x) is a function because f(x) is one-to-one.

What is an inverse function?

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

We know a function f(x) has its inverse g(x) if and only if f(x) is a one-to-one function.

From the given statements the only true statement is, g(x) is a function because f(x) is one-to-one.

+2 +2 +2 +2

x-3 ≤ 3 x-3 ≥ 1

+3 +3 +3 +3

x ≤ 6 and x ≥ 4

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