use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1


pls help me
I will give brainliest​

Answers

Answer 1

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500


Related Questions

A complex shape with measurements 6 inches, 5 inches, 4 inches, 3 inches, 4 inches, 2 inches, 6 inches, 10 inches. What is the perimeter of the shape?

Answers

Answer: 40

Step-by-step explanation: do 6 add 5 add 4 add 3 add 4 add 2 add 6 add 10

What is the answer to the question. Solve for x

Answers

Answer:

Answer:

[tex]x=\frac{75}2[/tex]

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]

Does anyone know how to solve this?

Answers

I don’t now but good luck

“find the measure of angle A” whats the answer for both of them?

Answers

Answer:

  255) 36°

  257) 30°

Step-by-step explanation:

The sum of the angle measures in a triangle is 180°.

__

255)

(x +43) +(x +77) +74 = 180

2x = -14 . . . . . . . . . . . subtract 194

x = -7

∠A = -7 +43 = 36°

__

257)

5x +(3x +2) +130 = 180

8x = 48 . . . . . . . . . . . . . . subtract 132

x = 6

∠A = 5·6 = 30°

1985 x 99 I already know the answer: 196515

Answers

Answer:

196515

Step-by-step explanation:

Compare the investment below to an investment of the same principal at the same rate compounded annually.

principal: $1,000, annual interest: 6%, interest periods: 6, number of years: 14 more than the investment compounded annually.

After 14 years, the investment compounded periodically will be worth $ ____(Round to two decimal places as needed.)​

Answers

After 14 years, the investment will be worth $ 2,306.72.

Given that an investment has a $ 1000 principal, 6% annual interest, 6 interest periods and 14 years of investment, to determine, after 14 years, how much the investment will be worth, the following calculation must be performed:

1000 x (1 + 0.06 / 6) ^ 14x6 = X 1000 x 1.01 ^ 84 = X 1000 x 2.3067 = X 2,306.72 = X

Therefore, after 14 years, the investment will be worth $ 2,306.72.

Learn more about maths in https://brainly.com/question/15603792

Solve for x: x /6−y/3= 1
SHOW WORK

Answers

[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]

25 Points please help!!!

Answers

Answer:

The one you clicked on in the picture is correct

Step-by-step explanation:

By elimination you can tell that it is the bottom two answers (+3 is inverse of -3). And it is the answer you selected because it cube roots whats in parentheses. So you are correct with the answer you have selected right now

Help help help math math math

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Alexandra was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 13%. What number should she multiply the cost of the meal by to find the total plus tip in one step?

Answers

Answer:

x = Total meal cost

y = Total cost-plus tip

113% * x  =  y

HELP BRAINLY PPLS!!! Identify the transformation that was applied to this boomerang.

A.Translation

B.Rotation about the origin

C.Reflection over the x-axis

D.Reflection over the y-axis

Answers

Answer:

B should be the answer because it did rotate and the origin is in the middle 0,0 which it look like to me it is on.

pls help. I dont really understand these problems. fraction area and perimeter

Answers

Answer:

Perimeter: 14 9/10 cm

Area: 11 7/10 cm^2

Step-by-step explanation:

First, you must find the perimeter of the rectangle. The definition of perimeter in terms of mathematics are: the continuous line forming the boundary of a closed geometric figure. To find the perimeter of any shape, you must add up all the sides. Thus:

2 1/4 + 2 1/4 + 5 1/5 + 5 1/5 = ?

To put it simpler -

2(2 1/4 + 5 1/5) =

4 5/10 + 10 4/10 =

14 9/10 cm

Then, you must find the area of the rectangle. The definition of the area are: the extent or measurement of a surface or piece of land. In other words, the amount of space an object takes up. You must multiply the length and width of the rectangle to find the area.

Formula of area:

A = L x W

A = 2 1/4 x 5 1/5

A = 9/4 x 26/5

A = 234/20

A= 11 7/10 cm^2

To sum it up, the perimeter of the rectangle is 14 9/10 cm and the area 11 7/10 cm^2.

4x+6<-6 how to solve

Answers

Answer:

The answer is below.

Step-by-step explanation:

4x<-6-6

4x<-12

x= -3

Inequality form:

x< -3

Interval Notion:

(-8,-3)

Note: Turn the -8 on the sideways on the right, because its not 8.

Answer: x < -3

Step-by-step explanation: 4x+6=-6

                                                   -6  -6

                                                     4x/4      -12/4

                                                            x<-3

Help hep help help math math

Answers

Answer:

-2

Step-by-step explanation:

the input, or domain is always replacing x

y=-2x+6

y=-2(4)+6

y=-8+6

y=-2

Steve checked out a book and a video from the local library. They were three days overdue when he returned them. The fine was 15 cents for each day the book was overdue, and 25 cents for each day the video was overdue. How much did Steve owe?​

Answers

Answer:

1.20 or 120 cents

Step-by-step explanation:

First, we need to calculate the total due for the book. 15 cents(3 days) = 0.45

Next, we need to calculate the total due for the video. 25 cents(3days) =0.75

0.75+0.45=1.2 dollars, or 120 cents

Find the area of this parallelogram

Answers

Answer:

260

Step-by-step explanation:

A=bh

A=13 x 20

A=260

Find m

K
M
L
∠KML.

Answers

Answer:

  35°

Step-by-step explanation:

The base angles of an isosceles triangle are congruent. The sum of angles in a triangle is 180°, so we have ...

  2M +110 = 180

  2M = 70

  M = 35

The measure of angle M is 35°.

Find the volume of the prism. Round to the nearest tenth.

Answers

Answer:

A: 437.1 cm³

Step-by-step explanation:

You find the area of the prism by the base of the prism & height multiplied together.

Here, the base of the prism is a triangle.

All the triangles sides are given, so lets lave them: A:8, B:8, and C:10.

Using SSS, we can find the area, which is ≈ 31.1.

If we multiply that number by 14.

We get he area of the prism.

Depending on how your rounded, the area of the prism is:

≈437.2, which is close enough to know that the asswer is A: 737.1 cm³

Hope this helped <3

If a square has a side of 4', what would the area be?
A= s2=sxs
A= 42= 4'x4
A= 16 sq. ft.

Answers

Answer:

16 sqft.

Step-by-step explanation:

A=L(W)

A=4(4)

A=16

Hope that helps

PLEASE HELP!!! I ONLY HAVE A FEW MINUTES!!

Answers

Answer:

y=0.25x-6

Step-by-step explanation:

How much water do you need to add to make each concentration?
1% sugar syrup using 12 g sugar

Answers

Answer:

1188 grams of water

Step-by-step explanation:

x is the grams of water

so total is 12+x grams

sugar/total is 12/12+x

and 1% ratio is 12/12+x=1/100

so x would be 1188 grams of water.

Answer:

1188

Step-by-step explanation:

Start with the part and whole proportion

[tex]\frac{12}{?} =\frac{1}{100}[/tex]

multiply the one by 12 and 100 by 12

[tex]\frac{12}{1200} =\frac{1}{100}[/tex]

now subtract 12 from 1200

then you get 1188.

I hope this helps :))

yag cuts 75 degrees angle from a paper circle then he cuts out another section measuring 130 degrees ,what is the angle that is left ? ​

Answers

Answer:

155°

Step-by-step explanation:

We know that the sum of the sections must be 360°. So, by removing a section of 75° he leaves the paper circle with a section of 185°, then removes another 130° section, leaving the last section of 155°.

Bidmass working out questions

Answers

Answer:

2nd one

Step-by-step explanation:

i think(10+2)^2_4*11=100 in my opinion

Need an answer here please

Answers

Answer:

Option 4:  A ║B

Step-by-step explanation:

Given the following statements:

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex]

We can apply the Lines Perpendicular to a Transversal Theorem, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.  

In the given conditional statement, [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]  and  [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex], line [tex]\displaystyle\mathsf{\overline{X}}[/tex] is the transversal that cuts through both lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex].  

Therefore, lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex] are perpendicular to line [tex]\displaystyle\mathsf{\overline{X}}[/tex].  Hence, by the Lines Perpendicular to a Transversal Theorem,  [tex]\displaystyle\mathsf{\overline{A}}[/tex][tex]\displaystyle\mathsf{\overline{B}}[/tex].  

Factorize the expressions
px2 + qx

Answers

Answer:

SOLUTION

HERE,

=X(P.2+Q)

=X(2P+Q)

Answer:

x(px+q) ( I took x as a common and the remaining are some

Solve the quadratic equation by using a numeric approach.

0.02x squared + 0.5x - 4 = 0

a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3

Answers

The solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Given the quadratic function expressed as;

0.02x²+ 0.5x - 4 = 0

Multiply through by 100 to have;

2x² + 50x - 400 = 0

Using the general formula to solve:

x = -50±√2500-4(2)(-400)/2(2)

x = -50±√2500+3200/4

x = -50±75.49/4

x = -31.3 or 6.3

Hence the solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Learn more on quadratic function here: https://brainly.com/question/25841119

How do you dived a fraction with a number like for an a example:

4/10 divided 2 = ?

Please explain step by step to get marked as brainliest!

Answers

Step-by-step explanation:

I assume you mean how do you divide a fraction by a whole number

In order to divide a fraction by a whole number we must use the KFC rule or the "Keep, flip, change" rule

The "Keep" means we keep the first fraction the same.

Next, we "flip" the second fraction (or in this case number; however it can be made into a fraction by putting it over 1). So now we have 4/10 divided by 1/2

Then we "change" the symbol so instead of dividing the fraction, we change the divide to a multiply.

Lastly, you just multiply the fractions as you usually would and you should end up with 4/20 which simplifies to 1/5 if my maths is correct.

Hope this helps.

Answer:

you can use KCF for this answer as well

Step-by-step explanation:

2 as a fraction would be 2/1

you need 4/10 divided by 2/1

applying KCF, you change it to be 4/10 multiplied by 1/2

solve to get 4/20 or simplified 1/5

hope this helped :)

Can someone please help with this?

Solve the equation p2 + 14p = 32 by completing the square method (and need to show work)

Answers

Answer:

p=2,-16

Step-by-step explanation:

move all terms to left side and set equal to zero. then set each factor equal to zero

3.-Las 80 habitaciones de un motel se podrían alquilar todas las noches si el director cobrará
40 € o menos por habitación. Si se cobra (40+x) € por habitación, entonces 2x habitaciones
permanecerán vacantes. Si cada habitación alquilada le cuesta al director 10 € al día y cada
habitación no alquilada 2 € al día, ¿qué precio debería cobrar el director por habitación para
maximizar su beneficio diario?
4.- Un fabricante de automóviles vende 2000 coches al mes, con un beneficio medio de 1000 €
por coche. Las prospectivas de mercado indican que por cada 50 € de descuento que el
fabricante ofrezca a los compradores podría vender 200 coches más al mes.
¿Cuánto descuento debería ofrecer para maximizar el beneficio mensual?

Answers

3) Para maximizar su beneficio diario el director debería cobrar cada habitación a €56.

4) El fabricante debería ofrecer un descuento de 150€ para maximizar su beneficio mensual.

3- Dado que las 80 habitaciones de un motel se podrían alquilar todas las noches si el director cobrara 40€ o menos por habitación, y si se cobra (40+x) € por habitación, entonces 2x habitaciones permanecerán vacantes, para determinar, si cada habitación alquilada le cuesta al director 10 € al día y cada habitación no alquilada 2 € al día, qué precio debería cobrar el director por habitación para maximizar su beneficio diario, se deben realizar los siguientes cálculos:

80 x 40 - 80 x 2 = 304070 x 50 - 10 x 10 - 70 x 2 = 326060 x 60 - 20 x 10 - 60 x 2 = 328065 x 55 - 15 x 10 - 65 x 2 = 329566 x 54 - 14 x 10 - 66 x 2 = 329264 x 56 - 16 x 10 - 64 x 2 = 329663 x 57 - 17 x 10 - 63 x 2 = 3295

Por lo tanto, para maximizar su beneficio diario el director debería cobrar cada habitación a €56.

3) Dado que un fabricante de automóviles vende 2000 coches al mes, con un beneficio medio de 1000 € por coche, y las prospectivas de mercado indican que por cada 50 € de descuento que el fabricante ofrezca a los compradores podría vender 200 coches más al mes, para determinar cuánto descuento debería ofrecer para maximizar el beneficio mensual se debe realizar el siguiente cálculo:

1000 x 2000 = 2.000.000900 x 2400 = 2.160.000800 x 2800 = 2.240.000700 x 3200 = 2.240.000600 x 3600 = 2.160.000850 x 3000 = 2.550.000

Por lo tanto, el fabricante debería ofrecer un descuento de 150€ para maximizar su beneficio mensual.

Aprende más sobre matemática en https://brainly.com/question/25809832

Add 8.563 and 4.8292. then times the answer by 9.183 divide it 2 times by 1.192. Add to the answer with this number after your finished: "19.323

Answers

Answer:

105.876373581

Step-by-step explanation:

8.563 + 4.8292 = 13.3922

13.3922 × 9.183 = 122.9805726

122.9805726 ÷ 1.192 = 103.171621309

103.171621309 ÷ 1.192 = 86.5533735811

86.5533735811 + 19.323 = 105.876373581

Step-by-step explanation:

8.563+4.8292=A

( A*9.183)÷1.192÷1.192=B

B+19.323=C

Other Questions
which christmas song contains the lyric ""everyone dancing merrily in the new old-fashioned way?"" Help me solveee this in a right triangular prism the area of the Triangular base is 12 square centimeters the height of the prism is 7 cm what is the volume of the prism?A) 60cmB) 84cmC) 72cmD) 98cm What is these 2 documents about? You can master the cello if you practice daily The Colonists voting for their ownleaders would be an example of which ofthe following?A. divine rightB. popular sovereigntyC. parliamentary powers Evaluate the reasoning Douglass uses in the passage by determining whether the conclusion is valid or invalid. Aisha is playing a game in which she can gain or lose points on each turn. The table below shows the points she scores on each of four turns in the game. Aisha states that her highest score is on turn 3, because 16 is greater than 3, 10, or 9. Use the drop down menus to explain Aishas mistake. Please help. A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 60 with the ground. Which statements are correct?A) d 60 ft.B) d 66 ft.C) h 104 ft.D) h 108 ft.E) angle of depression = 30 please help i need nowthank youu Answer based on the information.1)find the length of DC2)find the magnitude of ABE3)find the magnitude of ADC4)find the magnitude of BCD Who or what uses most of New Mexico and water supply The area of the rectangular floor of a shed is 40 space y d squared. The length of the shed is (x+2) yd and the width of the shed is (x-1) yd. Find the dimensions of the shed. Provide justification for each step. You can use the Sketch tool, or hand-write your algebraic proof, or type your answer. But you need to provide all the steps, with justification for each step, to get credit for this problem. At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 point scored by their opponent, the Rams. Pick the diagram that models the ratio in the story. If the Coyotes scored 42 points, how many points did the Rams score I really need sum help plz what is amoxicillin and clavulanate potassium used for Can somebody come up with a script of a playfollowing these rules revision_checklist (1).docx Which of the following options are written using correct grammatical form? Select all that apply.A.I am absolutely thrilled with my new shoes and I am going to wear them everywhere.B.I am absolutely thrilled with my new shoes. I am going to wear them everywhere.C.I am absolutely thrilled with my new shoes, and I am going to wear them everywhere.D.I am absolutely thrilled with my new shoes I am going to wear them everywhere. Please give a complete answer to all questions, citing the legal principle to support your answer.I. John owns a clothing store. He sees Jack put several items of clothing into his bulky jacket and then walk past all cash registers on his way out the door without paying for the clothes. He has his security people restrain Jack and put him in a locked room while he calls the police. The police arrive in five minutes and place Jack under arrest for shoplifting. Jack sues John civilly for the tort of unlawful imprisonment. Will Jack win or lose this lawsuit?2. Sarah, Lisa and Adriana are accountants and decide to form the limited liability partnership of SLA Accountants, LLP. They register the partnership with the state. Adriana then conducts an audit of the financial statements of DEF, Inc. and her audit team includes Anna, an audit manager who is under the supervision of Adriana during the course of the audit. Anna makes a major mistake in checking the assets of DEF with the result that the assets listed on the financial statements are overvalued and the liabilities are undervalued. DEF is a publicly traded stock and when the market finds out about this mistake, the value of the shares goes from $50/share to $5/share. The shareholders sue Sarah, Lisa and Adriana for negligence. Sarah and Lisa did not participate in this audit. Adriana states that her personal assets cannot be reached in this lawsuit. Is Adriana right or wrong?3. Sam is a member of the U.S. Armys Special Forces. He owns a Ford GT, the most expensive sports car made by Ford. He has received orders to deploy to the Middle East for a secret assignment that he realizes will be highly dangerous. He has a favorite nephew, Andrew, and he brings the car and the key fob over to Andrews house before he leaves. He tells Andrew that if he does not come back, the car is his. He does come back but when he comes over to see Andrew and asks for the car back, Andrew refuses, claiming this is a completed inter vivos gift and as such, he does not have to give it back. Is Andrew right or wrong? Dan is using tiles to add - 8 +6. He begins with the tiles shown below.OOOOOOOOWhat is the sum of -8+6?0-14-20214