If x and y are consecutive positive integers and x2 – y2 = 11, what is the value of y?
E. 1
F. 3
G. 5
H. 6

please provide explanation


Answers

Answer 1

Answer:

y = 5

Step-by-step explanation:

We khow that x and y are consecutive integers and that x^2 is greater than y^2 since x^2-y^2=11

● so x is greater than y

● wich means that x = y+1

● x^2-y^2=11

● (y+1)^2-y^2 = 11

● y^2+2y+1-y^2=11

● 2y + 1 = 11

● 2y +1-1 = 11-1

● 2y = 10

●2y/2 = 10/2

● y = 5


Related Questions

Evaluate the expression when a = 9 and b = 7.
b+5a



Help
Needed

Answers

7+5(9)
7+45
=52 is the answer

is 0.7 divided by 10 equivalent to 0.07

Answers

Answer:

yes

Step-by-step explanation:

yes because if you do the math you and you use your brain it's obvious

Step-by-step explanation:

cause I know it

30 POINTS! ASAP PLEASE ∠1 is a supplement of ∠2, and m∠1=123∘. ∠2 is a complement of ∠3. Find m∠3. m∠3=

Answers

Answer:

angle 3 is 33 degrees.

Step-by-step explanation:

complementary angle-adds up to 90 degrees

supplementary angle- adds up to 180 degrees.

if angle 1 is 123, then angle two is 180-123 degrees(57)

if angle two is 57 degrees, angle 3 is 90-57 degrees (33)

Answer:

m∠3 = 33°

Step-by-step explanation:

Since ∠1 and ∠2 are supplementary the sum of their angles is 180°

So to find ∠2 add ∠1 and ∠2 and equate them to 180° to solve for ∠2

So we have

∠1 + ∠2 = 180

∠2 = 180 - ∠1

From the question

m∠1 = 123°

So we have

∠2 = 180 - 123

∠2 = 57°

From the question , ∠2 is a complement of ∠3 the sum of their angles is 90°

That's

∠2 + ∠3 = 90

∠3 = 90 - ∠2

∠3 = 90 - 57

We have the final answer as

m∠3 = 33°

Hope this helps you

¿Para qué sirve saber estimar la capacidad de un recipiente utilizando el litro y el mililitro como unidades de medida?

Answers

Answer:

Estas unidades de capacidad son de uso frecuente en la manipulación de líquidos, así como en la estimación de la masa contenida del líquido dentro del recipiente si se conoce su densidad.

Además, permite clasificar hasta cuanto volumen y cuanta masa de un líquido determinado puede portar ese recipiente.

Step-by-step explanation:

Sirve la estimación de la capacidad de un recipiente dado en función de otros recipientes con capacidades de referencia, en cuyos casos corresponden al litro y el mililitro, respectivamente. Entonces, la capacidad total es aproximadamente la suma de las cantidades de adiciones de cada recipiente de referencia. La fórmula de estimación de capacidad del recipiente es:

[tex]V_{tot} \approx n_{l}\cdot (1000\,mL)+n_{L}\cdot (1\,mL)[/tex]

Donde:

[tex]V_{tot}[/tex] - Volumen total del recipiente, medido en mililitros.

[tex]n_{l}[/tex] - Cantidad de adiciones del recipiente con capacidad de un mililitro, adimensional.

[tex]n_{L}[/tex] - Cantidad de adiciones del recipiente con capacidad de un mililitro, adimensional.

Estas unidades de capacidad son de uso frecuente en la manipulación de líquidos, así como en la estimación de la masa contenida del líquido dentro del recipiente si se conoce su densidad.

Además, permite clasificar hasta cuanto volumen y cuanta masa de un líquido determinado puede portar ese recipiente.

So this is the question: Meg has 7/8 jug of orange juice. How many 1/2 jug servings can Meg get from that jug? Please help me!

Answers

Answer:

she can only get 1 servings

Answer:

1 cause 4/8 is a half  of the jug at it's full  brethall

so one 1/2

How do you interpret expressions that represent a quantity in terms of its context?

Answers

Interpret parts of an expression, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P. Use the structure of an expression to identify ways to rewrite it.

Write the opposite of the number. -4/5 (The four is not negative, the whole fraction is)

Answers

Answer:

4/5.

Step-by-step explanation:

The opposite of -4/5 is 4/5.

Answer:

4/5

Step-by-step explanation:

The opposite of a number is that number with the opposite sign.

The opposite of a positive number is a negative number. The opposite of a negative number is a positive number. The opposite of zero is zero since -0 means 0.

Examples:

opposite of -5 is 5

opposite of 1/2 is -1/2

opposite of 28 is -28

opposite of -sqrt(5) is sqrt(5)

Your problem:

opposite of -4/5 is 4/5

8x - 3 = 5 (2x + 1) solve for x

Answers

Answer:

x=−4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Given:

8x - 3 = 5 (2x + 1)

Solving for x:

8x - 3 = 10x + 510x - 8x = -3 - 52x = - 8x = -8/2x = -4

Which statement accurately describes lines of laditude also called parallels on a map? A. They measure distance east and west of the equator B. They measure the distance east and west of the prime meridian C. They measure distance north and south of the prime meridian D. They measure distance north and south of the equator

Answers

Answer:

A

Step-by-step explanation:

they measure the distance east to west of the equator

Footwear manufacturing is projected to decrease output by 5% from 2009 to 2019. If footwear manufacturing had 1.5 million dollars of output in 2009, approximately how much output is expected in 2019?

Answers

Answer:

$1,425,000

Step-by-step explanation:

1 (original output) - .05 (decrease in output) = .95 (2019 output compared to 2009)

1,500,000 X .95 = 1,425,000

I hope this helps!

-TheBusinessMan

Is it possible for one ray to be shorter in distance than another ray

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

no...because it extends to infinity from one side

The function ƒ (x) = 12x gives the number of inches in x feet, and g(x) = 3.28x gives the approximate number of feet in x meters. Write a composite function that could be used to convert meters to inches.

Answers

Answer:

39.36x

Step-by-step explanation:

Given the f(x) = 12x as  the number of inches in x feet and g(x) = 3.28x gives the approximate number of feet in x meters, to find the composite function that can be used to convert metres to inches will give;

f[g(x)] (This means we are substituting the function that is measured in metres into the functions measured in inches).

Given g(x) = 3.28x,

f[g(x)] = f(3.28x)

f(3.28x) means that we are to replace the variable of x in f(x) with 3.28x as shown;

f(3.28x) = 12(3.28x)

f(3.28x) = 39.36x

f[g(x)] = 39.36x

Hence the composite function that could be used to convert meters to inches is expressed as 39.36x.

Rename 2/5 and 1/2 using the least common denominator

Answers

the common denominator is 10 (between 5 and 2)

for each numerator:

we divide the common denominator with the denominator of each fraction and then multiply with the numerator of the fraction

first fraction's numerator:

10 (c.d.) : 5 (denominator) = 2

2 * 2 (numerator) = 4

second one:

10 (c.d.) : 2 (denominator) = 5

5 * 1 (numerator) = 5

The fractions are 4/10 and 5/10

Solve for the value of X. 62 = 12 - 5x

Answers

Answer:

x = -10

Step-by-step explanation:

62 = 12 - 5x

-12 .   -12

62 - 12 = -5x

50 = -5x

__ .  __

-5 .    -5

-10 = x    

-3p+6=-12
How to solve

Answers

subtract 6 which leaves u with -3p=-18 then divide by three on both sides to get p=6

Answer:

p = 6

Step-by-step explanation:

-3p+6=-12

Subtract 6 from each side

-3p+6-6=-12-6

-3p = -18

Divide each side by -3

-3p/-3 = -18/-3

p = 6

In a survey of 1250 shopper at a local mall, 1000 of them had a smart phone. What percent of the shopper at the mall had a smart phone?

Answers

Answer:

80 percent

Step-by-step explanation:

(1000/1250)*100 = 80

find the quotient. (-2) divided by 9

Answers

Answer:

-0.22222222222222222222222

Step-by-step explanation:

An air conditioning system can circulate 320 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?

Answers

Step-by-step explanation:

It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?

1 yard = 3 foot

1 feet = (1/3) yard

320 feet = 106.66 yard

[tex]320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3[/tex]

So, it will circulate 11.85 cubic yard of air per minute.

Consider the following Excel regression of perceived sound quality as a function of price for 27 stereo speakers. Regression Statistics R Square 0.01104 Standard Error 4.02545 Observations 27 Statistic Coefficients Std Error t Stat P-value Lower 95% Upper 95% Intercept 88.4902 1.67814 52.731 0.0000 85.0340 91.9464 Price –0.00239 0.00453 –0.528 0.6019 –0.01172 0.00693 Picture Click here for the Excel Data File(a) Is the coefficient of Price significantly different from zero at α = .05?YesNo(b) Calculate the correlation coefficient. At α = .05, does the correlation differ from zero? (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) r tcalc t.025 ± Since tcalc (Click to select)>< t.025, we (Click to select)rejectfail to reject the hypothesis of no correlation.(c) Given these results, is the difference in quality associated with a higher price likely to be apparent to an average listener?YesNo

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Regression

Statistics

R Square 0.01104

Standard Error 4.02545

Observations 27

Stat - - - - Coef - - Std Error - - t-Stat - - P-value

Int. - - 88.4902 - 1.67814 - - 52.731 - - 0.0000

Price (–0.00239) - 0.00453 (–0.528) - - 0.6019

Stat - - - - lower 95% - - - upper 95%

Int. - - - - - 85.0340 - - - - - - 91.9464

Price - - (–0.01172) - - - - - - 0.00693

(A) No, At α = .05, the Coefficient of price is not significantly different from zero, because :

The p-value (0.6019) obtained is greater than 0.05, Hence we fail to reject the null hypothesis.

B) the correlation Coefficient (r) :

Since ; r^2 = 0.01104

r = √0.01104

r = 0.1050714

The p-value obtained at α = .05 for r value of 0.1051 using the online p-value calculator is .602, this shows that correlation does not differ from 0.

Using :

r(√n-2) / √1 - r^2

0.1051(√27-2) / √1 - 0.01104

0.5255 / 0.9944646

= 0.5284250

For a 2 tailed test: α = .025

t0. 025 = 2.060 and - 2.060

Obtained t value is less than the critical, hence the null hypothesis stands

In a parallelogram ABCD, AB is parallel to CD. Which two sides are opposite sides ? sides AB and CD sides BC and CD sides AB and AD sides AB and BC

Answers

Answer:

AB and CD

Step-by-step explanation:

Given

Shape: Parallelogram

Parallel Side: AB and CD

Required

Determine the opposite sides

From the given parameters, we understand that:

AB is parallel to CD

Since they are parallel, then AB is opposite to CD

Hence, the opposite sides are AB and CD

The equation for a parabola has the form y=ax2+bx+c, where a, b, and c are constants and a≠0. Find an equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12).

Answers

Answer:

The equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12) is [tex]y = -x^{2}-3\cdot x +6[/tex].

Step-by-step explanation:

Let be (−1,8), (2,−4), and (−6,−12) points contained in a parabola, which is represented by a second-order polynomial. To determine the constant of the second-order polynomial, the following system of equations must be solved:

[tex]a - b+c = 8[/tex]

[tex]4\cdot a +2\cdot b +c = -4[/tex]

[tex]36\cdot a -6\cdot b +c = -12[/tex]

There are several methods for solving this: Equalization, Elimination, Substitution, Determinant and Matrix. The solution of this system is: [tex]a = -1[/tex], [tex]b = -3[/tex] and [tex]c = 6[/tex]. Hence, the equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12) is [tex]y = -x^{2}-3\cdot x +6[/tex].


Expresa el siguiente número 14322000000000000 en notación científica *

Answers

Answer:

14322 * 10¹²

1.4322 * 10¹⁶

Step-by-step explanation:

14322000000000000

14322 * 10¹²

1.4322 * 10¹⁶

30 points! need asap The endpoints of CD¯¯¯¯¯¯¯¯ are C(5, 3) and D(−3,−6). Find the coordinates of the midpoint M. Coordinates of midpoint M:

Answers

Answer:

The midpoint is ( 1, -1.5)

Step-by-step explanation:

To find the midpoint

Add the x coordinates of the endpoints and divide by 2 to get the x coordinate of the midpoint

(5+-3)/2 = 2/2 = 1

Add the y coordinates of the endpoints and divide by 2 to get the y coordinate of the midpoint

(3+-6)/2 = -3/2 = -1.5

The midpoint is ( 1, -1.5)

Answer:

mid point = 1,  -1.5

Step-by-step explanation:

mid point between two points C(5, 3) and D(-3, -6)

M = (x1 + x2)/2  , (y1 + y2)/2

mid point = (5 + (-3)) / 2 ,  (3 + -6)/2

mid point = 2/2 , -3/2

mid point = 1,  -1.5

Luther drives 17 miles to work each day . After work he takes a short cut home which is 14 miles . How many miles does he drive to and from work each week (5 days)

Answers

Step-by-step explanation:

17 miles = 1 day to work

14 miles =1 day to home

Therefore total miles driven in 5 days =

( 17×5) +(14×5) = 105+60

ANSWER =165 miles per week

Answer:

155 miles each week

Step-by-step explanation:

One day is 17 miles to and 14 miles home = 17+14 = 31

He does this 5 days a week

5 * 31 = 155 miles

PLEASE HELP ASSAAPPP!!!!!!!!A river discharges 4 × 106 cubic feet of water into the Pacific Ocean each second. There are 86,400 seconds in one day. To find the amount of water discharged each day, a scientist multiplied 4 × 106 by 86,400 on his calculator. The display showed: Explain what 3.456E + 14 means. A. 3.456^14 B. 3.456 × 10^6 C. 3.456 × 10^14 D. 3.456 × 10^ -14

Answers

Answer:

C

Step-by-step explanation:

The river discharges 4 x 10^6 cubic feet of water into the Pacific Ocean each second.

There are 86,400 seconds in one day.

Amount of water discharges each day-

=4x10^6x86400

=345600000000

=3.456 x 10 ^11

Answer: C

Step-by-step explanation:

1) First multiply 4 * 10^6 = 4,000,000

Then multiply 4,000,000 by 86,400 = 3.456 * 10^11

(5a^3-2a^2)+(6a^3+9a^2+8a)

Answers

Answer:

11a^3 + 7a^2 + 8a

Step-by-step explanation:

( 5a^3 - 2a^2 ) + ( 6a^3 + 9a^2 + 8a )

= 5a^3 + 6a^3 + -2a^2 + 9a^2 + 8a

= 11a^3 + 7a^2 + 8a

HURRY PLEASE if ray NP bisects angle MNQ and measure of angle MNQ= 8x + 12 and measure of PNQ= 78 degrees and measure of angle RNM= 3y -9, find the values of x and y

Answers

Answer:

the measure of x is 18° and the measure of y is 29°

Step-by-step explanation:

Step 1

Find the measure of angle x

we know that

If ray NP bisects <MNQ

then

m<MNQ=m<PNM+m<PNQ ------> equation A

and

m<PNM=m<PNQ -------> equation B

we have that

m<MNQ=(8x+12)°

m<PNQ=78°

so

substitute in equation A

(8x+12)=78+78-------> 8x+12=156------> 8x=156-12

8x=144------> x=18°

Step 2

Find the measure of angle y

we have

m<PNM=(3y-9)°

m<PNM=78°

so

3y-9=78------> 3y=87------> y=29°

therefore

the answer is

the measure of x is 18° and the measure of y is 29°

Why Is 3 times 1/10 less than 3 times 10?k

Answers

3 times 1/10 is equal to 3/10, whereas 3 times 10 is equal to 30.

3/ 10 is less than 30.

We can write this as 3 * 1/10 compared to 3 * 10

If we divide both sides by 3, we then compare 1/10 and 10.

1/10 is less than 10, so 3 times 1/10 is less than 3 times 10.

We can rewrite 1/10 = 0.1, so 3 * 0.1 is 0.3 whereas 3 * 10 = 30.

Answer:

See Explanation

Step-by-step explanation:

When you multiply 3 * 1/10, 3 goes in the numerator so you get 3/10 which is 0.3

On the other hand 3*10 is 30.

0.3 is less than 30 that's why.

Here's the thing you had one pizza slice (equal to 1/10), and your parents gave you three times more the pizza slice. You will have three slices of pizza (each slice being 1/10) not 30 pizzas.

Hope that makes sense. I can explain again if you need me to!

PLEASE HELP! ON TIMER! 1.Given the following functions, f(x)=x^2 g(x)=x-3 find the composition of the two functions and show your work. f(g(x)) 2.Given the following functions, f(x)=x^2 g(x)=x-3 find the composition of the two functions and show your work. g(f(x)) 3. what would be the domain restriction? describe how you found the answer. 1 over x-3

Answers

Answer:

I can only answer the first one for now but the answer is x^2 - 6x + 9.

Step-by-step explanation:

f(x) = x^2 and g(x) = x - 3.

To find f(g(x))  we replace the x in f(x) by g(x).

f(g(x)) = (x - 3)^2

= x^2 - 6x + 9.

Solve the equation
36 +x=20

Answers

Answer:

-16 is the answer because u cant add to have a number lower than the one in equation

Other Questions
so can i just buy phone without any age am 15 so i can just buy it without a liensec am makeing shw 1. A particle is moving along the x-axis. Its position as a function of time is given as x = bt ct 2 . a) What must be the units of the constants b and c, if x is in meters and t in seconds? What do viruses require to grow and multiply?A.TCS foodB.living hostsC.high moisture levelsD.alkaline food According to the text, school-age children exposed to parental discord and poor parenting display all of the following except:_________.a) fearfulness. b) depression. c) obedience. d) aggressiveness. Which expression is equivalent to 12x+(7)214x(2)? 8. Blue Cab Company had 50,000 shares of common stock outstanding on January 1, 2021. On April 1, 2021, the company issued 20,000 shares of common stock. The company had outstanding fully vested incentive stock options for 5,000 shares exercisable at $10 that had not been exercised by its executives. The end-of-year market price of common stock was $13 while the average price for the year was $12. The company reported net income in the amount of $269,915 for 2021. What is the diluted earnings per share (rounded) Which manuscripts do not depict Matthew the Evangelist? As a former slave, what did Frederick Douglass' speech indicate about his feelings toward the Bible? Who was the founder of West Point? Why did he establish it? 25 points!!! Please help but DON'T give an answer pls Am i right? What is the difference between a patriarchal and matriarchal society? 22 PTS What can modern nations learn from the Ming Dynasty? A safety equipment salesperson calling on a prospect for the first time should try to schedule an appointment with the focus of _____, a person who will listen to the salesperson and provide valuable information about the types of equipment that the company needs. Englishpy a Whole Number1Emma and her 3 friends were thirsty, so she shared2gallon of lemonade equally among 4 people. Howmuch lemonade did each person get?=4 =2 Why did the Federalists pass the Alien and Sedition Acts?A.They were angry at the British for forcibly enlisting American sailors.B.They feared the French and their Democratic-Republican supporters.C.They wanted to help France in its war with Great Britain. The 1-inch diameter pizza bite for $1 or the 10 inch diameter pizza for $10 Which factor plays the biggest role in motivating economic decisions in acommand economy?A. A belief in the power of international cooperationB. A desire to maximize individual profitsO C. A commitment to a traditional way of livingO D. An interest in promoting the common good Molecular anthropologists have used genetic technologies to investigate the relationships between human populations as well as non-human primates.A. TrueB.False sin(7pi/6)=a. 1/2b. -sq3/2c.sq3/2d.-1/2 PLS HELPoceans 1.4 1021kgcrust2.6 1022kgatmosphere5.1 1018kgmantle4.043 1024kgouter core1.835 1024kginner core9.675 1022kgWhat is the order, from least to greatest, of the masses of each part of Earth? Order the parts from least to greatest, with 1 being the smallest mass and 5 the greatest mass.1. Atmosphere2.3.4.5.6.whats the answer pls