2x2 - 4x –9 = 0
Completing the swuare

Answers

Answer 1

Step-by-step explanation:

[tex](a-b)^2=a^2-2ab+b^2\\\\2x^2-4x-9=0\qquad|\text{add 9 to both sides}\\\\2x^2-4x-9+9=0+9\\\\2x^2-4x=9\qquad|\text{divide both sides by 2}\\\\\dfrac{2x^2}{2}-\dfrac{4x}{2}=\dfrac{9}{2}\\\\x^2-2x=4.5\\\\x^2-2\cdot x\cdot1=4.5\qquad|\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot1+1^2=4.5+1^2\\\\(x-1)^2=5.5\iff x-1=\pm\sqrt{5.5}\qquad|\text{add 1 to both sides}\\\\x=1-\sqrt{5.5}\ \vee\ x=1+\sqrt{5.5}[/tex]


Related Questions

Calculate the number in the middle of 1.5 and 7.1​

Answers

Answer:

0.5

Step-by-step explanation:

The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced? Formula: ChangeOriginal=%100%

Answers

Answer:

25%

Step-by-step explanation:

Answer = difference/Originalx100

Answer=15/60=0.25x100=25%

Jennifer is a lifeguard at the same pool. She earns $220.50 for 18 hours of lifeguarding. How much does Jennifer earn per hour?A.$12.00b.$12.25c.$12.50d.$12.75​

Answers

Answer:

b.12.25

Step-by-step explanation:

You just simply divide 220.50 by 18 and you will end up with the rate per hour.

3х +5 > – 2x — 5
............

Answers

Answer:

x>-2

Step-by-step explanation:

What best describes movement of particles in a solid

Answers

Answer:The particles in a solid are tightly packed and locked in place. Although we cannot see it or feel it, the particles are moving = vibrating in place.

Answer:

the movement of particles within a solid is normally slower, do to the particles being tighter together than the other classifications.

Help please I don’t get this

Answers

Answer: 62.5 (assuming it flies straight up, because we don't know the speed of the bird going straight, left, right, or back.)

Step-by-step explanation:

They want to know how far the bird flies in a minute. What you do is you use the char to help you figure it out, by dividing the first row both by 2, so it would give the answer under the altitude column.

please I am taking a test I need help asap

Speed (m/s) 1 3 30 An investigation was conducted to determine how the motion of an object is affected by unbalanced forces. The data collected is listed in the Student Data table above. Which of the following remained the same throughout the investigation?
The acceleration of the ball
O The velocity of the ball
O The speed of the ball The velocity, speed, and acceleration all remained the same.​

Answers

Answer: The Speed of The Ball (I think....)

PLs help I’ll give brainliest if u there already an answer to this question I posted more so u guys can answer. PLSS answer

Answers

Angle BEF is corresponding to ADE.


AG and BH are parallel and have CF crossing through so we know that there are going to be some corresponding angles. BEF is equal to ADE.

Answer: ADE

Step-by-step explanation:

Which equation can be used to find the measure of the angles below if line a is parallel to line b?
A. 5x - 54 + 3x + 16 = 180

B. 3x +16 = 180

C. 5x - 54 = 3x + 16

Answers

I think the answer is c

Answer:

C. 5x - 54 = 3x + 16

Step-by-step explanation:

These angles are alternate interior angles and their measurement is same

5x - 54 = 3x + 16

5x - 3x = 16 + 54

2x = 70 divide both sides by 2

x = 35

the area of a trapezium is 594 sq. cm. The lengths of its parallel sides are in the ratio 4 : 5. The height of the trapezium is 12 cm. Find the lengths of the parallel sides.

Answers

Answer:

1st side=44 cm, 2nd side= 55cm

Step-by-step explanation:

let a = '4x' , b = '5x'

h= 12cm

Area of trapezium=1/2*(a+b)h

area=594=1/2*9x*12

594*2/12=9x

594/6=9x

99=9x

99/9=11=x

therefore, 4x=4*11=44cm

             &5x=5*11=55cm

The quantities xxx and yyy are proportional.
xxx yyy
333 303030
101010 100100100
161616 160160160
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r=r, equals

Answers

Answer:

The answer is 10

Step-by-step explanation:

I just know

Answer:

IT'S 10

Step-by-step explanation:

HAHAHAH HE HAD IT RIGHT LOL...

Have a good day =D

complete the given table following the pattern.
1
2
3
4
5
6
1
2
3
4
5
Number of
slices
Number of
Cherries
Number of Line
Segments
(All Lines)
Number of Outer
Line Segments
Number of
Inner Line
Segments
3
5
7
9
11
3
0
1

Answers

Answer:

7 is the answer to that jgf6bf6 reddish Ve

For any number n>1, is |(2 - 41)" A. greater than 1? B. less than 1? C. equal to 1?​

Answers

Answer:

2. 2. =1=13.

Step-by-step explanation:

Answer:

The answer may be A. Greater then

Step-by-step explanation:

sorry if it's wrong

HELP EMERGENCY!!! What is the equation of the line?

Answers

Answer:

need the line

Step-by-step explanation:



Doritos $3.45 for 11.5 oz.
Cheetos $2.43 for 9 oz.
which is the better buy?

Answers

Cheetos Bc it’s just better

Michelle bought five packs of crayons for $13.75.

What is the cost of a pack of crayons, in dollars, if all the packs cost the same?

Answers

Answer:

2.75

Step-by-step explanation:

i think the awnser is 2.75

You purchase a used car for $6400, you put $1200 downm and have a monthly payment of $176.23 for 36 months
What is the amount Financed?

Answers

Answer:

The amount financed is $5,200

Step-by-step explanation:

Amount of finance is the price after making down payment being financed by a bank or institution or any individual to purchase an asset on some agreed terms.

Price of the car = $6,400

Down payment = $1,200

Amount financed = Purchase price - Down payment

PLacing values in the formula

Amount financed = $6,400 - $1,200

Amount financed = $5,200

Amount of finance is $5,200, Whereas total payments in 36 months are $6,344.28 against finance of $5,400 and the interest payment is $944.28 ( $6,344.28 - $5,400 ).

ms. poe is buying towels for her apartment.she finds some green towels that cost $3 each and blue towels that cost $4 each. She wants to buy at least 4 towels but doesn't want to spend more than $24

Answers

She could but 6 blue towels and 8 green ones.

What is the measure of ZABD?
510
B
A
h

Answers

Answer:

39°

Step-by-step explanation:

Angle ABD and angle CBD are complementary angles which means they complete each other to 90°

so if CBD is 51 then ABD is 90 - 51 = 39°

Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y 1 3 5 7 Table D x 4 6 8 10 y 3 3 3 3

Answers

Answer:

The best and the most correct answer among the choices provided by the question is the third choice. The table that best represents direct variation is:

Input x 3 4 5

Output y 9 16 25

Answer:

ITS C

the 3 one

Step-by-step explanation:


The reciprocal of 2 2/7


Answers

Answer:

7/16

Step-by-step explanation:

PLZ HELP ME ANSWER THIS I WILL GIVE BRAINLIEST!!!

Answers

Answer:

They are the same answer in absolute value form and they are different because they are opposite numbers

Step-by-step explanation:

Please help quickly ​

Answers

Answer:

The answer would be B

Step-by-step explanation:

When you are tryinf to find the slope you have to subtract from both sides and devide the number.

Answer:

Slope of equation is: m= -5/9

Option A is correct.

Step-by-step explanation:

We are given the equation: 125x+225y=6000

We need to find the slope of the equation. The slope can be found if we arrange the equation in slope-intercept form i.e y=mx+b where m is slope.

So, rewriting given equation in slope intercept form:

[tex]125x+225y=6000\\225y=-125x+6000\\\frac{225y}{225} =\frac{-125}{225}x+ \frac{6000}{225}\\y= \frac{-5}{9}x+ \frac{80}{3}[/tex]

Now comparing the equation with slope-intercept form i.e y=mx+b we get the value of slope i.e m= -5/9

So, Slope of equation is: m= -5/9

Option A is correct.

ASAP
Find all solutions to the equation.


7 sin^2 x - 14 sin x + 2 = -5

Answers

Answer:

{-π/2, π/2}

Step-by-step explanation:

Rewrite this as:

7sin^2 x - 14sin x + 7 = 0.  Reduce this result by dividing all terms by 7:

sin^2 x - 2sin x + 1

Temporarily replace "sin x" with y:

y^2 - 2y + 1 = 0

Solve this through factoring:  (y - 1)^2 = 0, or y - 1 = ± 0, or y = ±1

Recalling that y = sin x, we write

sin x = ±1, whose solutions are sin x = 1 and sin x = -1

The solution of sin x = 1 is π/2 and that of sin x = -1 is -π/2

and so the solution set is {-π/2, π/2}

please helppppp:((((

Answers

Answer:

just need points sry

Step-by-step explanation:

Help FOR #3!!!!!!!!!!! Please!!!!!!!!!!

Answers

Answer:

Standard Form            

f(x)=10x2-7x-12

Vertex Form

  y=10(x-720)^2-52940

Step-by-step explanation:

A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.

4x + 5y = 30.50

11x + 14y = 84.50

Answers

Answer: I think it the second one

Step-by-step explanation:

Answer:

The variable x represents the  - cost per pound of meat

The variable y represents the  - cost per pound of cheese

The deli charges $4.50 for   -  a pound of meat

Step-by-step explanation:

got it correct for edgen 2020

Monica obtained the following results from her mathematics exams: 80,
82, 83, and 91. What score must she get on the next exam so that her
average score is 85

Answers

Answer:

89

Step-by-step explanation:

Answer:

A score of 89

Step-by-step explanation:

To find the average, we'll need to add all the results and divide them by the number of her exams. To do this, we'll need to add all her scores and one more (her next score to make the average 85): we'll call that x for now.

(80 + 82 + 83 + 91 + x) ÷ 5 = 85

(336 + x)/5 = 85

Multiply 5 on both sides

336 + x = 425

x = 89

Therefore, Monica will need an 89 on her next test for her average to be 85.

I hope this helped. Good luck and keep studying!

need help with this question bad ​

Answers

Answer:

y = [tex]\frac{4}{3} x[/tex]

Step-by-step explanation:

The equation is y = [tex]\frac{4}{3} x[/tex].   To draw the line, take two points (0, 0) and (3, 4).  You can draw a straight line connecting those points.

Answer:

Step-by-step explanation:

this woukd have to make y = [tex]\frac{4}{3}[/tex]x in order for the rest to become proportional with the x axis. so im pretty sure this is correct

im not 100% on this one, because im going through something else right now, but im 87% sure that this is correct. hope this helped :)

Look at ZUVZ and ZWVZ in the image below.
Which of the following is the best description for this pair of angles?
Complementary
Straight
Supplementary
Acute

Answers

the answer is supplementary because added together they equal 180
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