if a and b are roots of the equation ax²+bx+c=0 obtain the value of a/b +b/a

Answers

Answer 1

[tex]\\ \sf\longmapsto \dfrac{a}{b}+\dfrac{b}{a}[/tex]

[tex]\\ \sf\longmapsto \dfrac{a^2+b^2}{ab}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(a+b)^2-2ab}{ab}[/tex]


Related Questions

12 4 + 2 X 3 Evaluate 2 O A) 11 OB) 13 OC) 20 OD) 27​

Answers

4 + 2 · 3² = 4 + 2 · 9 = 4 + 18 = 22

22 : 2 = 11

Answer → A)

23. (3 + d4)2 - (c + d), if c= -1 and d= 2

Answers

Answer:

here u go

Step-by-step explanation:

ur answer is 21

clara weighed six pieces of chicken on the scales.if each piece weighed 0.8kg, how much did all the chicken weigh together?

Answers

Answer:

The answer is 4.8 kg. Just do 6 x 0.8                                                                                                        

the set of integers between -5 and -9

Answers

Answer:

-6, -7, and -8

Step-by-step explanation:

Pretty simple, just count to the negatives.

2) Juanita is due for a 5% raise. She is currently making $350 a week. What is her new
weekly paycheck amount?
(explain please)

Answers

Answer:

$367.5

Step-by-step explanation:

$350 × 0.05% = $17.5

$350 + $17.5 = $367.5

PEASE HELP ME 70 POINTS

Answers

Answer:

x: -2

f(x): 1.5

x: 0

f(x): 0.5

x: 3

f(x): -1

Step-by-step explanation:

Answer:

3/2, 1/2, - 1

Step-by-step explanation:

x + 2y = 1 --> this is 'f(x)'. Sub in the each x-value to the equations.

First part:

x = -2

x + 2y = 1

-2 + 2y = 1

2y = 3

y = 3/2

Second part:

x = 0

x + 2y = 1

0 + 2y = 1

2y = 1

y = 1/2

Third part:

x = 3

x + 2y = 1

3 + 2y = 1

2y = -2

y = -2/2

y = - 1

Write a addition equation or a subtraction your choice to section your diagram

Answers

Answer:

7 - 2 = 5

Step-by-step explanation:

pls give me brainliest i need it to level up

Fun Fact: The hagfish is the only animal that has a skull but no spine.

Multiply 25 by the difference of 34.78 and 12.99.

Answers

544.75 . Hope this helped !
Hope you understood pls give me the brainliest :)))

Mr. Bean loves collecting soda cans. He currently has 50 soda cans and gets 12 more every week. What's an equation for this situation?

Answers

Answer:

12x+50 i think

Step-by-step explanation:

What is the LCM of 42 and 63?

Please show work! I'm very confused and don't understand.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}[/tex]

[tex]\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}[/tex][tex]\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}[/tex]

[tex]\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}[/tex]

[tex]\huge\boxed{\text{Good luck on your assignment \& enjoy your day,}}[/tex]

~[tex]\huge\text{Amphitrite1040:)}[/tex]

Compute the mean of the discrete probability distribution below:

X P(X)
2 0.20
3 0.25
4 0.45
5 0.10

Answers

Answer:

Step-b2

0.20

3

0.25

4

0.45

5

0.10

y-step explanation:

please help i’m abt to break down

Answers

Answer:

4= -5v-1

5= 3x

6= 9y-6

7= h-20

8= 29w-17z

9= 8mn-2n+5m

Step-by-step explanation:

first three that you did were correct! Hope it helps!

Simply the expression below using order of operations (5^2 -6^2)+5(8-12 ÷3)

Answers

Answer:

9

Step-by-step explanation:

The first operation is what inside the braces

1-first comes the multiple and the division

2- then the + and the -

1- (25-36)+5(8-4)

2- (25-36) + 5×4

3- (-11) + 20 =9

Which of the following is a solution to the inequality?5x-10<20

Answers

Answer:

x < 6

Step-by-step explanation:

5x - 10 < 20

5x < 30

x <6

hope that helps

john has 1 chicken jake took one how much does john have left

Answers

Answer:

0 because 1-1=0 and that is the answer

He has 0 because 1-1=0

51 and 53 HELP PLS!!!!!!!

Answers

Hi!
Answers:

51. w=9/4

53. b=12

Plz help I am confused

Answers

Answer:

-18/7 or -2 4/7

Explanation:

-3 2/7 - ( -5/7 )

-23/7 + 5/7

-18/7 Improper fraction

-2 4/7 Mixed Number

Given the list of numbers, 3, 2, 6, 3, 9, 5, 12, 7, if the pattern continues, what is the sum of the ninth and tenth numbers?

Answers

Answer:

Step-by-step explanation:

Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.

So the odd positions go up 3 6 9 12

And the next odd position is 15 which is the nineth term.

It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.

The sum of 9 and 15 = 24

If someone gives you a more consistent answer, take it.

Calculate the straight line distance between the points (-10, -7) and (-8,1).
G.2(B)

Answers

Answer:

2√(17) or about 8.2462 units.

Step-by-step explanation:

We want to determine the distance between the two points (-10, -7) and (-8, 1).

We can use the distance formula. Recall that:

[tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}[/tex]

Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

Calculate the straight line distance between the points (-10, -7) and (-8, 1).

Answer :-

The straght line distance between the two points is 8.2462 units.

[tex] \rule{200pt}{3pt}[/tex]

Solution :-

As per the provided information in the given question, we have been given that:

[tex](x_1, y_1) = (-10, -7)[/tex][tex](x_2, y_2) = (-8, 1)[/tex]

To calculate the distance between the two points, we will apply the formula below:

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \: \: }}[/tex]

Substitute the given values into the above formula and solve for d:

[tex]\sf:\implies{ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{[-8 - (-10)]^2 + [1 - (-7)]^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{(2)^2 + (8)^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{4 + 64}}[/tex]

[tex]\sf:\implies\bold{d = \sqrt{68} \approx 8.2462 \: units}[/tex]

Therefore :-

The straght line distance between the two points is 8.2462 units.

[tex]\\[/tex]

Learn more about the distance formula at https://brainly.com/question/25841655

Have a great day! <33

What is the closest side lenght of this square? Area=99 square units​

Answers

Answer:

3[tex]\sqrt{11}[/tex]

Step-by-step explanation:

[tex]\sqrt{99}[/tex] = 3[tex]\sqrt{11}[/tex]

The area of a rectangle is 99 square units. Its width measures 9 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

A regular hexagon is a six sided figure with all sides equal and all six angles equal. Find the length of the sides if the perimeter of the regular hexagon is 396 yd.

Answers

Answer:

sides = 61.5 yd

Step-by-step explanation:

hopefully the picture I have attached us clear and understandable

:)

Can someone explain how to do this?

Answers

Answer:

12°

Step-by-step explanation:

The two shaded angles are alternate-interior angles

(Either side of the transversal line, and inside both parallel lines, AB||CD)

10x + 5 = 12x - 19

10x + 24 = 12x

24 = 2x

x = 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x=12

Step-by-step explanation:

You set 10x+5 equal to 12x-19. then you solve like a regular equation to get x

Can anyone help me with this

Answers

Answer and Step-by-step explanation:

This graph is a One to One Function.

For a function to be one-to-one, each x value must have its own y-value, which is the case for this graph.

The y value of a point where a vertical line intersects a graph represents an output for that input x value. If you draw a vertical line on the graph, and it intersects more than once, then the graph does not define as a function because that x value has more than one output (y).

#teamtrees #PAW (Plant And Water)

I hope this helps!

A new popular midsize car has a retail price of $25,000. The midsize car's value M(t) is given by the exponential model M of t is equal to 25,000 times the quantity four fifths to the power of t where t represents the time in years. Identify the domain, in yearly intervals, that contains all the years the car's value is less than $1,000.
[13, ∞)
[14, ∞)
[15, ∞)
[16, ∞)

Answers

Answer:

Its C

Step-by-step explanation:

Just finished the homework and got it right

Using exponential functions, it is found that the correct option is given by:  [15, ∞)

-------------------------

The exponential function given in this exercise is:

[tex]M(t) = 25000(\frac{4}{5})^t[/tex]

-------------------------

The domain that contains all the years the car's value is less than $1,000 is composed by the values of t for which:

[tex]M(t) < 1000[/tex]

Thus, we have to solve the exponential inequality.

[tex]M(t) < 1000[/tex]

[tex]25000(\frac{4}{5})^t < 1000[/tex]

[tex](\frac{4}{5})^t < \frac{1}{25}[/tex]

[tex]\log{(\frac{4}{5})^t} < \log{\frac{1}{25}}[/tex]

[tex]-0.0969t < -1.39794[/tex]

[tex]0.0969t > 1.39794[/tex]

[tex]t > \frac{1.39794}{0.0969}[/tex]

[tex]t > 14.43[/tex]

Rounding, t greater than 15 years, and the correct option is:

[15, ∞)

A similar problem is given at https://brainly.com/question/16056918

HELP PLZ WILL MARK THE BRAINLIEST -Solve the compound inequality 6b < 24 or 4b + 12 > 4.

A) b < 4 or b > −2
B) b < 4 or b > 4
C) b < 4 or b > 2 D)b > 4 or b < −2

Answers

The answer is C.

Hope this helps!

You have been working with irregular figures. How is estimating area on a grid different from estimating perimeter on a grid? Explain.

Answers

Answer:

When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape

Step-by-step explanation:

Given are the slopes of several lines. Indicate whether each line is horizontal, vertical, rises from left to right, or falls from left to right.

Answers

Answer:

Rises from left to rightVertical LineHorizontal LineFalls from left to right

Step-by-step explanation:

Keep in mind we read graphs from left to right just like how we read and write.

A positive slope will be increase from left to right. A negative slope with decrease left to right. A vertical line will have a undefined slope.A horizontal line will have a slope of 0.

We can use those tips to solve the problem.

Option A:

4/5 is a positive slope so it will rise from left to right.

Option B:

No slope automatically means "undefined" so that falls in the definition of a vertical line.

Option C:

A slope of 0 is defined as a horizontal line.

Option D:

-4/5 is a negative slope so it will fall from left to right.

Best of Luck!

necesito ayduda aca, no entiendo nada mi profe de mates no explica bien

Answers

Answer:

dmytjlzjtzlyxluxuclliflfuludld7ulydyddy

An athlete runs two miles in 13.5 minutes. How many minutes is this per mile?

Answers

Answer:

6.75 minutes / mile.

Step-by-step explanation:

Time: 13.5 minutes

distance: 2 miles

rate: ?

You want the units to be minutes / mile. That's not the usual units for a rate. You have to be careful how you set this up.

13.5 minutes

2 miles

13.5 /2 = 6.75 minutes / mile = 6 minutes 45 seconds / mile

4(x − 3) = 8
solve please

Answers

4x-12=8
4x=8+12
4x=20
x=5

Answer:

x = 5

Step-by-step explanation:

4(x - 3) = 8

=> x - 3 = 8/4

=> x - 3 = 2

=> x = 2 + 3

=> x = 5

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