Solve |√2-y| = |y-√2|

Answers

Answer 1

Answer:

Step-by-step explanation:

|√2-y|=|y-√2|

√2-y=±(y-√2)

when √2-y=y-√2

y+y=√2+√2

2y=2√2

y=√2

when √2-y=-(y-√2)

√2-y=-y+√2

or 0=0

it gives no value of y.

so only possible value is y=√2


Related Questions

Which graph represents the function of f(x) = the quantity of 4 x squared minus 16, all over 2 x minus 4 ? (2 points) graph of 2 x plus 4, with discontinuity at negative 2, 0 graph of 2 x plus 4, with discontinuity at 2, 8 graph of 2 x minus 4, with discontinuity at negative 2, negative 8 graph of 2 x minus 4, with discontinuity at 2, 0

Answers

We can simplify the given rational function into a linear one, the graph is below.

Which graph represents the function?

Here we have the rational function:

[tex]f(x) = \frac{4x^2 - 16}{2x - 4}[/tex]

Factorization the numerator, we get:

4x² - 16 = 0

4x² = 16

x² = 16/4 = 4

x = ±√4 = ±2

Then the numerator can be written as:

4*(x - 2)*(x + 2)

And the denominator can be rewritten as:

2x - 4 = 2*(x - 2)

Then the function becomes:

[tex]f(x) = \frac{4*(x + 2)*(x - 2)}{2*(x - 2)} \\\\f(x) = 2*(x + 2) = 2x + 4[/tex]

So we have just a linear equation, so the graph that represents the function is the graph of a line, the one you can see below.

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a²-b when a = 8 and b = 7

Answers

Answer:

[tex]57[/tex]

Step-by-step explanation:

You just plug in 8 as a, and 7 as b. This gives you the following equation: [tex](8)^2-7[/tex] which becomes [tex]64-7[/tex] by squaring the 8, Then subtract 7 and you get [tex]57[/tex]

Answer:

57

Step-by-step explanation:

a = 8

b = 7

a² - b

= 8² - 7

= (8*8) - 7

= 64 - 7

= 57

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

R (1, 1)
S (3, 1)
T (1, 6) R' (–1, –1)
S' (–3, –1)
T' (–1, –6)

Answers

The transformation was a 180° rotation about the origin.

We can solve this question by plotting the points R (1, 1)

S (3, 1) T (1, 6) and R' (–1, –1) S' (–3, –1) T' (–1, –6) on the graph as shown below.

As we can see from the graph, the original triangle RST which was in quadrant 1, now becomes triangle R’S’T’ in quadrant 3. Thus, when triangle RST was transformed using the rule (x, y) → (–x, –y), from quadrant 1 to quadrant 3 it is a 180° rotation about the origin.

Hence, the transformation was a 180° rotation about the origin.

Your question was incomplete. Please check below for full content.

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown. R (1, 1) S (3, 1) T (1, 6) R' (–1, –1) S' (–3, –1) T' (–1, –6)

Which best describes the transformation?

The transformation was a 90° rotation about the origin.

The transformation was a 180° rotation about the origin.

The transformation was a 270° rotation about the origin.

The transformation was a 360° rotation about the origin.

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Whats the correct answer answer asap for brainlist

Answers

i believe B is the answer
I think the answer would be b

Your best friend is really struggling with their math class. You passed the same class last term with an A, so you’ve been helping them do practice problems and double-checking their homework. The professor has given them a take-home exam for their mid-term, and they want your help completing the exam. Is this an academic integrity violation? Why or why not? How would you handle this situation, and why would you handle it in that way?

Answers

Answer:

no

Step-by-step explanation:

you have done your part by helping in their study session,if you help them cheat you will suffer the consequences if he/she is caught,

This is an academic integrity violation because it is against honesty rules, the best would be to offer assistance to your friend.

Is this an academic integrity violation?

Academic integrity encompasses principles of honesty, fairness, and trustworthiness in academic pursuits. It generally includes a commitment to originality and independent work. Assisting someone in completing an exam, especially a take-home exam, where individual effort and understanding are expected, would likely violate academic integrity policies.

Handling this situation

Handling the situation ethically and responsibly would involve respecting the academic rules and ensuring fairness for all students. Instead of directly completing the exam for your friend, you can offer assistance by explaining concepts, providing guidance on problem-solving approaches, or reviewing their completed work to identify errors or areas for improvement. This way, you can help your friend learn the material and develop their own understanding, without compromising academic integrity.

Encourage your friend to seek additional help from their professor, teaching assistants, or tutoring services provided by the institution. They can also engage in group study sessions or form study groups with classmates, which promote collaborative learning while maintaining individual effort.

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The maximum capacity of a bird's lungs varies directly with it size. If a robin with a mass of 310 grams has a lung capacity of 46,5 mL, how much lung capacity does a 1270-gram hawk have? round it to the nearest tenth.

Answers

Thus, the required capacity lung capacity of hawk is 190.5ml.

robin with a mass of 310 grams has a lung capacity of 46.5 mL
let lung capacity of a 1270-gram hawk = x

What is volume?

Volume, is defined as the ratio of the mass of object to its density.

Here,
The maximum capacity of a bird's lungs varies directly with it size.
So the proportion can be given as
⇒ 310/46.5 = 1270/x
= 190.5

Thus, the required capacity lung capacity of hawk is 190.5ml.

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Write an equation of the line that passes through a pair of points:
(2, 3), (4, negative 2)
a.
y = Negative five-halvesx – StartFraction 1 Over 8 EndFraction
c.
y = Negative five-halvesx + 8
b.
y = Negative five-halvesx – 8
d.
y = Five-halvesx + 8

Answers

The equation of line that passes through a pair of points: (2, 3), (4, -2).is option B. y = -5/2 x + 8.

What is the equation of a line passing through two given points in 2 dimensional plane?

Suppose the given points are (x_1, y_1) and (x_2, y_2),

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We need to find the equation of the line that passes through a pair of points: (2, 3), (4, -2).

So, the equation would be

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

[tex](y - 3) = \dfrac{-2 - 3}{4- 2} (x -2)\\\\\\(y - 3) = \dfrac{-5}{2} (x -2)\\\\\\2(y - 3) = -5 (x -2)\\\\2y - 6 = -5x + 10\\\\2y = -5x + 16\\\\y = -5/2 x + 8[/tex]

Hence, the equation of line is option B. y = -5/2 x + 8.

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Answer:B

Step-by-step explanation:

The distance between two towns on a
map is 6.25 cm.
The scale on the map is 1 cm = 30 miles.
What is the actual distance between the
two towns?

Answers

Answer:

Actual distance=187.5miles

Step-by-step explanation:

1cm=30miles

6.25cm=6.25*30miles

=187.5miles

The distance between the two towns using the map scale is 187.5 miles.

What is a Measurement unit?

A measurement unit is a unit to measure certain quantities.

For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

To find the measurement of a new quantity known units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.

Given that,

The distance between the towns on map is 1 cm.

And, the scale of map is 1 cm = 30 miles.

As per the problem the actual distance can be found by using the scale of the map as follows,

The distance between two towns is 6.25 × 30 = 187.5 miles.

Hence, the actual distance between the two towns is 187.5 miles.

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Which of the following best represents the altitude, h, of the triangle shown? (5 pts.) A. tan 75° B. 11.5 sin 75° C. D. 23 cos 75° 23 sin 75° M21 R 23* 759

Answers

The height of a triangle with a hypotenuse of 23 and angle between base and hypotenuse of 75° is h= 23sin(75)

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Trigonometric ratio shows the relationship between the sides and angles of a right angle triangle.

Let us assume that the right triangle has a altitude h, hypotenuse of 23 and angle between base and hypotenuse is 75°, hence:

sin(75) = h/23

h= 23sin(75)

The height of a triangle with a hypotenuse of 23 and angle between base and hypotenuse of 75° is h= 23sin(75)

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Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.

What does point H represent in this context?
CORRECT (SELECTED)
Chana's and Josiah's distance from the starting line at the time when Chana catches up with Josiah

Explanation: Point HHH is on line aaa, so it represents Josiah's distance at a certain time. Point HHH is also on line bbb, so it represents the same distance and time for Chana.

Answers

The point that is labeled H on this graph is the point where Chana's and Josiah's distance from the starting line at the time when Chana catches up with Josiah.

How to solve for the point H.

At the point H, there is an intersection between the distance covered by both of these individuals.

This point is the point where we are shown that Chana has caught up with Josiah as they are skating.

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Find the real numbers x and y.
27+yi= 11-x + 4i

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = -16 [/tex]

[tex]\qquad \tt \rightarrow \: y =4 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 27 + yi = 11 - x + 4i[/tex]

[tex]\qquad \tt \rightarrow \: yi + x = 11 + 4i - 27[/tex]

[tex]\qquad \tt \rightarrow \: x + yi = - 16 + 4i[/tex]

By equating both equations we get :

[tex]\qquad \tt \rightarrow \: x = - 16[/tex]

[tex]\qquad \tt \rightarrow \: y = 4[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

I need some help please

Answers

There are 30 cuboids in that one cube. (6*5) or (10*3)!

On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?

A right trapezoid is shown with height labeled 5 feet and one of the bases labeled as 9 feet, and the other base is labeled as 7 feet.

Answers

The area of the given right trapezoid ​is 40 ft².

What is the area of the trapezium?

Area of the trapezium = ½(a + b) × h

Given;

base 1 = 9 feet

base 2 = 7 feet

Height h = 5 feet

Area of the trapezium = ½(a + b) × h

Area = (9 + 7) x 5/2

Area = 16 x 5/2

Area = 8 x 5

Area = 40 Square feet.

Hence, the area of the given trapezium ​is 40 ft².

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0.2 was divided into a particular number. this quotient was the multiplied by 7, and 2.8 was taken from that product. if the previous operation resulted in -499.8 find the initial number

Answers

Oh snap idek
Sorry bro

Answer:

(x/0.2)(7)-2.8=-499.8

x=-14.2

Step-by-step explanation:

(x/0.2)(7)-2.8=-499.8

7x/0.2 -2.8 = -499.8

35x -2.8 = -499.8

35x = -499.8 +2.8

35x = -497

35x/35 = -497/35

x = -14.2

you probably already got it solved, but at least this can help anyone else!

A bank loaned out ​$11,000​, part of it at the rate of 8% per year and the rest at 18% per year. If the interest received in one year totaled ​$1500​, how much was loaned at

Answers

The amount loaned at 8% is  $4800.

The amount loaned at 18% is $6,200.

What are the linear equations that represent the question?

a + b - 11,000 equation 1

0.08a + 0.18b = 1500 equation 2

Where:

a = amount loaned at 8%

b = amount loaned at 18%

How much was loaned at 8 and 18%?

Multiply equation 1 by 0.08

0.08a + 0.08b = 880 equation 3

Subtract equation 3 from equation 2

0.10b = 620

b = 620 / .10

b = $6200

a = 11,000 - 6200 = $4800

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Factor completely.

x^2+5x+6


Enter your answer in the box.

Answers

Answer:

(x+3)(x+2)

Step-by-step explanation:

x^2 + 5x+6

To factor this problem, we need to determine which two numbers multiply to 6 and add to 5

3*2 = 6

3+2 -5

(x+3)(x+2)

Step-by-step explanation:

x² + 5x + 6

= x² + 2x + 3x + 6

= x ( x + 2 ) + 3 ( x + 2 )

= ( x + 2 ) ( x + 3 )

Hence factorized.

Please help!
If a student (represented by initials) was chosen at random, find P(HH|C).
P(HH|C)=2/5


P(HH|C)= 13/16


P(HH|C)=9/16


P(HH|C)=3/5

Answers

Answer:

a.) P(HH|C)=2/5

Explanation:

Given following:

P(HH) = 7P(C) = 10P(HH ∩ C) = 4P(HH ∪ C) = 13

Solving steps:

[tex]\sf P(HH|C) = \dfrac{P(HH \cap C) }{P(C)}[/tex]

[tex]\sf P(HH|C) = \dfrac{4 }{10}[/tex]

[tex]\sf P(HH|C) = \dfrac{2 }{5}[/tex]

Find the solutions of each equation on the interval [0,2pi)

sin(3pi/2+ x)+sin(3pi/2 +x)= -2

Answers

Answer:

x=0

Step-by-step explanation:

You can combine the equation to get 2sin(3/2 +x) = -2

divide both sides by 2 and you get the equation equal to -1. sin is equal to -1 when the value inside is 3/2 so this is the answer.

Mr. Zuro finds the mean height of all 15 students in his statistics class to be 67.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 63.8 inches tall. What is the mean height of the 16 students in the class?

Answers

Answer: 66.8

Step-by-step explanation:

Let the mean height of 16 students in the class = X

Therefore,

[tex]\frac{15*67+63.8}{16} =X[/tex]

[tex]X=\frac{334}{5}[/tex]

X = 66.8

What is the domain of the function f(x) = √(x+3)²?

Answers

Answer: Option 1

Step-by-step explanation:

The domain is the set of x values that make the radicand non-negative. Since the radicand is a perfect square, it will always be non-negative for any real value of x.

Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)?
Distance formula: √(x₂-x₁)² + (V2 - V₁)²
O(x-4)² + y² = 100
O(x-4)2 + y² = 10
O x² + (y-4)² = 10
O x² + (y-4)² = 100

Answers

Answer:

(x-4)² + y² = 100

Step-by-step explanation:

The only circles that have a center at (4 , 0) are :

(x-4)² + y² = 100

(x-4)² + y² = 10

……………………

•  (-2 - 4)² + 8² = (-6)² + 64 = 36 + 64 = 100 ≠ 10

Then

The circle (x-4)² + y² = 10 doesn’t contain the point (-2, 8)

•  (-2 - 4)² + 8²  = 100

Then

The circle (x-4)² + y² = 100 contains the point (-2, 8)

PLS help!!! MARKING BRAINLIST IF ANSWER IS CORRECT( explanation required) What number should be placed in the box to help complete the division calculation?
.

Answers

120 should be placed in the blank.

a rectangular fish tank is 50 cm long, 40 cm wide, and 30 cm high.


a) how many cubic centimeters of water will the tank hold?


b) how many milliliters of water will the tank hold?


c) how many liters of water will the tank hold?

Answers

Answer:

a) 60,000 cubic cm; b) 60,000 mL; c) 60 L

Step-by-step explanation:

a) V = l x w x h

V = 50 cm x 40 cm x 30 cm = 60,000 cubic cm

b) 1 cubic cm = 1 mL, therefore 60,000 cubic cm = 60,000 mL

c) 1000 mL = 1 L; 60,000 mL = 60 L

Will is 30​% taller than​ Wanda, so​ Will's height is​ ____% of​ Wanda's height.

​Will's height is ​% of​ Wanda's height.

Answers

Thus we can conclude that if Will is 34% higher than Wanda, then Will's height is 134% (100% + 34%) of Wanda's height.

Will is 34% taller than Wanda, so Will's height is 134% of Wanda's height.

If Will is 34% of Wanda's height, we can conclude that he has all of Wanda's height plus 34% of that height.

All the height of Wanda represents 100% as it is referring to a complete system.

What is the height?

Height is a way to measure someone or something from base to top or head to toe.

From this, we can conclude that Will is 100% more than 34% of Wanda's height.

Thus we can conclude that if Will is 34% higher than Wanda, then Will's height is 134% (100% + 34%) of Wanda's height.

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You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair.

How many legs are on the ground?

Answers

Answer:

36

Step-by-step explanation:

I think it’s a trick question because “legs” can also mean like chair legs that hold it up. Therefore:

2 dogs = 8 legs

4 horses = 16 legs

1 giraffe = 4 legs

And a bed: 4 legs(things that hold it up)

And a chair: 4 legs (things that hold it up)

This is assuming that the bed is a normal bed with stools holding it up

And the chair has 4 piles aswell as no missing legs in the animals… lol

Im trying to figure out the answer

Answers

Step-by-step explanation:

[tex]\sqrt{35} =\sqrt{5} *\sqrt{7};[/tex]

all the details are in the attachment.

Cindy has decided to lease a car. the lease includes a money factor of 0.00354. what interest rate is cindy being charged in her lease? a. 0.85% b. 8.5% c. 1.475% d. 14.75% please select the best answer from the choices provided a b c d

Answers

The interest rate Cindy will be charged with money factor 0.00354 is approximately 8.5% which is option b.

Given The factor included in lease is 0.00354.

Interest is the amount that a bank or person who gives loan charges from loan taker.

Money factor is a method for finding the financing charges on a lease with monthly payments. The money factor can be translated into the annual percentage rate by multiplying the money factor by 2400.

Money factor=0.00354.

So the interest rate that Cindy will charge is equal to 2400*0.00354

The interest rate Cindy will be charged =8.496%

=8.5%

Hence the interest rate charged is approximately 8.5%.

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Please help me answer this question in khan academy

Answers

The interval that function f(x)=x³-9x has a positive average rate of change is [ -4, -1 ].

Option D) is the correct answer.

Over which interval does f have a positive rate of change?

To determine whether the average rate of change is positive, f(max) - f(min) must be greater than zero.

Given the function; f(x) = x³ - 9x

We determine f(max) - f(min)

At interval [ -2, 1 ]

(x³ - 9x) - ( x³ - 9x )

( (1)³ - 9(1) ) - ((-2)³ - 9(-2))= -8 - 10 = -18 NOT POSITIVE

At interval [ -2, 3 ]

(x³ - 9x) - ( x³ - 9x )

( (3)³ - 9(3) ) - ((-3)³ - 9(-3))= 0 - 0 = 0 NOT POSITIVE

At interval [ -1, 2 ]

(x³ - 9x) - ( x³ - 9x )

( (2)³ - 9(2) ) - ((-1)³ - 9(-1))= -10 - 8 = -18 NOT POSITIVE

At interval [ -4, -1 ]

(x³ - 9x) - ( x³ - 9x )

( (-1)³ - 9(-1) ) - ((-4)³ - 9(-4))= 8 - (-28) = 36 POSITIVE

Therefore, the interval that function f(x)=x³-9x has a positive average rate of change is [ -4, -1 ].

Option D) is the correct answer.

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x+6y=28, solve for y

Answers

Answer:

[tex]y = -\frac{x}{6} + \frac{14}{3}[/tex]

Step-by-step explanation:

So when you're solving for y you want to get y by it self meaning there should be nothing with y, including any coefficients. The first step is to usually move any terms to the other side and then divide by the coefficient of y so y "technically doesn't" have a coefficient, while it does, but that coefficient 1, so it doesn't really mean much.

Subtract x from both sides

[tex]6y = -x+28[/tex]

Divide both sides by 6

[tex]y = -\frac{x}{6} + \frac{14}{3}[/tex]

The given equation solved for y as y = (28 - x)/6.

The given equation is x+6y=28.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved for y as follows

Here, x+6y=28

⇒ 6y = 28 - x

⇒ y = (28 - x)/6

Therefore, the given equation solved for y as y = (28 - x)/6.

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What is the next whole number after 3355 in the base six system

Answers

Answer:

Ordinal, 3,355th. This number as US currency, three thousand three hundred fifty-five dollars ... 3355 is NOT a triangle number ... Base 6

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Aseveryone knows, it is in the neighborhood of one hundred and eighty feet high-and I beg to observe that one hundredand eighty feet reach to about the height of four ordinary three-story buildings piled one on top of the other, and is avery considerable altitude for a tower of uniform thickness to aspire to, even when it stands upright-yet this one leansmore than thirteen feet out of the perpendicular. It is seven hundred years old, but neither history or tradition saywhether it was built as it is, purposely, or whether one of its sides has settled. There is no record that it ever stoodstraight up. It is built of marble. It is an airy and a beautiful structure, and each of its eight stories is encircled by flutedcolumns, some of marble and some of granite, with Corinthian capitals that were handsome when they were new. It is abell tower, and in its top hangs a chime of ancient bells. The winding staircase within is dark, but one always knowswhich side of the tower he is on because of his naturally gravitating from one side to the other of the staircase with therise or dip of the tower. Some of the stone steps are foot-worn only on one end; others only on the other end; othersonly in the middle. To look down into the tower from the top is likeriooking down into a tilted well. A rope that hangsfrom the center of the top touches the wall before it reaches the bttom. Standing on the summit, one does not feelaltogether comfortable when he looks down from the high side; but to crawl on your breast to the verge on the lowerside and try to stretch your neck out far enough to see the base of the tower, makes your flesh creep, and convinces youfor a single moment in spite of all your philosophy, that the building is falling. Find the product of the given polynomials (5r+8-6r)(4+2r-7)A.2r^2+13r-24B.-2r^2-24r+19 C.-2r^2+19r-24D.2r^2+19r+24 Order the quotients of these expressions from least to greatest.42.6 7042.6 0.7426 7042.6 0.07 import java.io.InputStream; import java.io.StringReader; import java.util.Scanner; public class Main {public void(String[] args) throws IOException, InterruptedException { Scanner scanner = new Scanner(System.in); System.out.print("Enter the first name of a contributor: "); final String firstName = scanner.nextLine(); System.out.println("The maximum contribution received was " + firstName + "."); System.out.println("The minimum contribution received was " + firstName + "."); System.out.println("The average contribution amount was " + firstName + "."); System.out.println("A total of $" + (Integer)contributions * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1); } } Which of the following are considered to be the four basic market structures? Multiple select question. Pure competition Monopolistic competition Pure monopoly Representative democracy Oligopoly erena is writing an expression that is equivalent to 12ab 6b, but she has not completed it. __?__ (2 a minus 1)What is missing from the expression? Which of the following are examples of elements?a. COb. Lic. KBrd. Ca