if a-b=14,ab=8 find a^2+b^2​

Answers

Answer 1

Here,

a-b=14

ab=8

we know that,

[tex]\tt{(a-b)^2=a^2+b^2-2ab }[/tex] ⠀

According to the question,

[tex]\tt{ (14)^2=a^2+b^2-2×8 }[/tex] ⠀

[tex]\tt{196=a^2+b^2-16 }[/tex] ⠀

[tex]\tt{a^2+b^2=196-16 }[/tex] ⠀

[tex]\tt{a^2+b^2=180 }[/tex] ⠀


Related Questions

Find the slope of the line that passes through (-61, 3) and (-41, 31)​

Answers

Answer:

Fraction - 7/5

Decimal - 1.4

Step-by-step explanation:

ahhh please help i don’t understand thissss

Answers

Answer:

24y^3/x^5

Step-by-step explanation:

Since 6x and 4x are not in a parentheses, they are not being powered by anything. Therefore, those stay on the numerator side.

Anything to the power of something times another to the power of something is always added together. Since -1 + (-4) is -5, x would end up having a power of -5, which would just make it go on the denominator side with just a power of 5.

Same rule with y follows. This would make it 5+ (-2) = 3. Since this is a positive power, it stays at the numerator side.

I need help with this

Answers

It’s 13. To get this you would use the Pythagorean Theorem.

do you ever realize the human cut down bird houses to make bird houses

Answers

Answer:

Yes

Step-by-step explanation:

Sure did. It's all wood. and actually, natural bird houses are better for the birds, but they're in short supply with a demand for lumber.

Be sure to show all work and not just the answer. Please help ASAP.

Answers

The answer is 30 Degrees. 180-90-60= 30. This is because if triangles are equal, they will be the same

Reba made a mosaic wall using 42 black tiles and 23 red tiles . what percent presents the number of red tiles in the mural

Answers

Answer:

35% of  red tiles

Step-by-step explanation:

First you have to figure out the total.  

42+23= 65

So plug it in.

23/65 = 35%

Your answer is 35%.

Hope this helped!!!!!!!!!!!!!!!!!

Answer:

35.4%

Step-by-step explanation:

Total of tiles:  42+23= 65 tiles

red tiles/ total amount of tiles

23/65= 0.3538= 35.38%

rounded to the nearest tenth= 35.4%

wat is the answer to this question

Answers

Answer:

D

answer id D: F and C

Step-by-step explanation:

when we reflect across the x axis, x stays the same and y changes sign

3. Given the function f(x)=x^2+4x-12:
a. Identify the zeros using factorization.

Answers

Answer:

x = -6, 2

Step-by-step explanation:

A zero is the x-value of a point on the x-axis that the graph intersects. Knowing this, we can set the function itself to 0 to find the zeros.

1) Set the function to 0.

[tex]x^2+4x-12 = 0[/tex]

2) Factor out the polynomial. Ask yourself, what are two numbers that have a product of -12 and add up to 4? (In this case, it's 6 and -2.)

[tex]x^2+4x-12 = 0\\(x+6)(x-2) = 0[/tex]

3) Look at the answer from the last step. What do the x's have to equal in order for equation to equal 0? They have to be -6 and 2. Therefore, those are the zeros.

what is (4x + 7) - (8 - 3x) in standard form?

Answers

(4x + 7)- (8- 3x) written in standard form is 7x-1 :)

Brian, Monique, and Taylor shared a blackberry pie. Brian ate ¼ of the pie. Monique ate 35% of the pie. Sonya ate 0.2 of the pie. List the names in order of who ate the least to who ate the most pie.

Answers

Sonya ate the least, Brian is second, and Monique is last.

Answer:

sorry dont know

Step-by-step explanation:

Please help ill give brainly ❤️

Answers

Answer:

the answer is c because it is the only one with the y intercept

A side of Ari's aquarium is a square with an area of 190 square inches. The length of each side of the square is

Answers

Answer:

√190 square inches

Step-by-step explanation:

.................

Determine how far the vehicle travels in 3 hours.

A ferry travels 45 miles every 1 1/2
hours.

Answers

Answer:

90 miles

Step-by-step explanation:

1 1/2 is half of 3 so just multiply 45 by two

HELP!!!!
4. Jake can paint a room in 7 hours, and Karen can paint the same room in 5
hours. How long will it take to paint the room if they work together?

Answers

Answer:

6 hours

Step-by-step explanation:

( 7h + 5h)/2 =6h

ANSWER:

It would take them about 3 hours to paint the room together.

EXPLANATION:

The least common denominator of 7 and 5 would be 35, so if we set 7x+5x equal to 35, the answer rounds up to 3. (or 2.9 if rounded to the nearest tenth.)

Which graph represents a linear function?

Answers

Answer:

Please check the explanation below.

Step-by-step explanation:

Note: As you forgot to mention the graphs of a linear function. But, let me clear your concept with an example of a linear function.

We know that linear function is of the form

y = mx+b

where

m is the slopeb is the y-intercept

We know that the graph of a linear function is a straight line because the highest power of the exponent of the x variable is 1.

Thus, y = mx+b represents a straight line.

For example,

Let the linear function

y = 2x+3

comparing with the linear function of the form y = mx+b

The slope = m = 2The y-intercept b = 3

As the highest power of the exponent of a variable is 1, therefore y = 2x+3 represents a straight line.

The graph of the linear function y = 2x+3 is also attached below.

What is the solution to the equation 6- t = 2t

Answers

-t + 6= 2t hope it help

Answer:

t=2

Step-by-step explanation:

Literally just move all the common like terms onto one side.

6=3t

It is usually prefered to have the variables on the left and the coefficients on the right so you would flip your equation.

3t=6

Then you get t by itself by dividing by 3. Your final answer should be 2.

graph the opposite of the opposite of 2 on the number line click on the number line to identify the numbers location

Answers

Answer:

-2

Step-by-step explanation:

The opposite of 2 is -2.

Read the problem and answer the questions show your solution when necessary. ​

Answers

Answer:

Step-by-step explanation:

1) Number of white chocolate bars = x

Number of dark chocolate bars = y

Total bars = 15

x + y = 15 --------------(I)

Total cost = Php. 340

20x + 25y = 340 ----------------(II)

2)  We can use elimination method to solve this equations.

Multiply equation (I) by (-20) and then add the equations.

(I)* (-20)          -20x  -20y = - 300

(II)                    20x + 25y = 340     {Now add and x will be eliminated}

                                  5y = 40

                                    y = 40/5

y = 8

Substitute y = 8 in equation (I)

x + 8 = 15

      x = 15 - 8

x = 7

3) Number of dark chocolate bars = 8

What is the volume of this rectangular prism?
3 units
1 cubic unit
3 units

Answers

Answer:

Step-by-step explanation:

3x3x3 is 46 than 46 _ 4 is 57

The answer is 27 units

What is the Volume of Rectangular Prism?

The volume of a rectangular prism is defined as the space occupied within a rectangular prism. A rectangular prism is a polyhedron that has two pairs of congruent and parallel bases. It has 6 faces (all are rectangular),12 sides, and 8 vertices. As the rectangular prism is a three-dimensional shape (3D shape), the unit that is used to express the volume of the rectangular prism is cm3, m3 and so on.

Given here: The dimensions as 3,3,3

Thus the volume is = 3³

                                =27

Hence, The answer is 27 units

Learn more about prisms here:

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What is the difference of the polynomials?
(1222 - 1142 - 13x) - (5x2 - 1472 - 9x)
O 7x+3y2-4x
O 7x2 – 3y2 - 4x
O 7x2 - 25y2 - 22x
O 17x2 - 25y2-22

Answers

Answer:

7x+3y2-4x

Step-by-step explanation:

The value of the difference of the polynomials are,

⇒ 7x² + 3y² - 4x

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The expression is,

⇒ (12x² - 11y² - 13x) - (5x² - 14y² - 9x)

Now, We can subtract the expression as;

⇒ (12x² - 11y² - 13x) - (5x² - 14y² - 9x)

⇒ 12x² - 11y² - 13x - 5x² + 14y² + 9x

⇒ 12x² - 5x² - 11y² + 14y² - 13x + 9x

⇒ 7x² + 3y² - 4x

Thus, The value of the difference of the polynomials are,

⇒ 7x² + 3y² - 4x

Learn more about the subtraction visit:

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7x + 3y + 2z
simplify

Answers

7x + 3y + 2z

Answer: Can't be simplified

of 54 cities, 7 have a lake and 25 have a river running through them. What fraction of these 54
cities have a lake or a river running through them? Show your work.

Answers

Answer:

32/54 which could reduce to 16/27 or 59.3%

Step-by-step explanation:

7+25=32 have a river or lake

54 total cities

32/54=59.3

I don’t understand this question please please help!

Answers

Answer:

A) the domain is the x

Step-by-step explanation:

Answer:

a (2, 4, 7, 14, 16)

Step-by-step explanation:

domain is the x values, the input, of the relation

What is 38,721 to the nearest hundreds

Answers

Answer:

38,720

Step-by-step explanation:

Marta is making a flag with the given dimensions. The perimeter of the flag is 100 inches. A triangle has side lengths of 18 inches and 41 inches. How much material, in square inches, is needed to make the flag? square inches If the material costs $0.15 per square inch, how much will Marta spend on materials to make the flag? $

Answers

Answer: 54

Step-by-step explanation:

trust me

360 sq feet

$54

source: truuuuust me bro

Find the measure of the missing angle.
a
20°

Answers

Answer:

160 degrees

Step-by-step explanation:

That is a straight line, meaning that the sum of a and 20 has to equal 180.

a + 20 = 180

a = 180-20

a = 160

160 degrees because it is supposed to add up to 180 so in that case you add 160+20 and it would equal 180 so a=160

22.5(10-y)+27.5y=250 what does y equal

Answers

Answer:

5

Step-by-step explanation:

hope it helped

Last year, Jay was 96 inches tall. This year, he is 108 inches tall. What is the percent increase in Jay’s height

Answers

Answer: 12.5%

Step-by-step explanation:

108-96=12, so he grew 12 inches.

12/96=0.125,

0.125*100=12.5, 12.5%

find the slope of the following line​

Answers

Answer:

3/3

Step-by-step explanation:

Answer:

3/3

Step-by-step explanation:

The distance in miles in the distance in inches vary directly on a map. The legend on the map shows that 16 miles are represented by 0.5 inches. What is the actual distance between the two cities if they are 3 inches apart on the map? In the situation distance in =x.

A) 96 miles
B)72miles
C)80miles
D)104miles

Answers

I think the answers are c but I'm not sure.

The actual distance between the two cities is 96 miles.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that the map shows that 16 miles are represented by 0.5 inches.

Let x miles would be the actual distance between the two cities

When they are 3 inches apart on the map

According to the given situation, we can write the ratio would be as:

16 miles : 0.5 inches = x miles : 3 inches

⇒ 16/0.5 = x/3

Apply the cross-multiplication operation,

⇒ 0.5x = 48

⇒ x = 48/0.5

⇒ x = 96

Therefore, the actual distance between the two cities is 96 miles.

Learn more about the Ratio here:

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