Please help!!!!!!!!! (Solve The quadratic equation by completing the square) 2x^2+12x=66 fill in the value of a and b to complete the solution

Please Help!!!!!!!!! (Solve The Quadratic Equation By Completing The Square) 2x^2+12x=66 Fill In The

Answers

Answer 1

Answer: in order

x=-3-[tex]\sqrt{42}[/tex]

x=-3+[tex]\sqrt{42}[/tex]

Step-by-step explanation:

100 % edmentum  

Answer 2

The solutions of the equation are x=-3+√42 and x=-3-√42.

The given quadratic equation is 2x²+12x=66.

What is completing square method?

Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial.

Now, 2x²+12x=66 can be written as x²+6x-33=0

Add and subtract (b/2)² to the equation.

That is x²+6x-33+9-9=0

⇒x²+6x+9=42

⇒(x+3)²=42

⇒(x+3)=±√42⇒x=±√42-3

Therefore, x=-3+√42 and x=-3-√42.

To learn more about quadratic equations visit:

https://brainly.com/question/2263981.

#SPJ2


Related Questions

Help! GHJ Café sells Medium and large coffees to locals in Downtown Dallas. If 7 medium cups and 10 large cups of coffee are sold, the café makes $68.75 in sales. If 10 medium and 15 large cups are sold, the total sales is $101.25. How much does a large cup of coffee sell for at GHJ Café?

Answers

Answer:

Large cup cost $4.25

Step-by-step explanation:

Medium:  x

   Large:  y

Constraints:

  7x + 10y = 68.75

  10x + 15y = 101.25

Isolate y variable:

     (7x + 10y = 68.75) * -10    ===>    -70x - 100y =  -687.50

   (10x + 15y = 101.25) * 7       ===>     70x + 105y = 708.75

                                                        ____________________

   add the two equations                                 5y = 21.25

   divide by 5                                                      y = 4.25

please help :( Find m
156°

78°

162°

81°

Answers

165

Is your answer

ggg do gets go t ra di

Find the lcm of 13 and 49

Answers

Answer:

637

Step-by-step explanation:

13 * 49 = 637

Answer:

it's 637 trust me ........

What is the median of the numbers ?

Answers

Answer:

4.5

Step-by-step explanation:

Its the middle of all of the numbers

Answer:

Its 5

Step-by-step explanation:

3 and 4 has 4 X's

6 has also 4 X's

so it leaves with 5.

2 3/8 x 16 pls urgent​

Answers

Answer:

38x / 38

Step-by-step explanation:

2 3/8 = 19/8

19/8 x16

multiply --> a x b/c = a x b over c

= 19X x 16 over 8

= 304x over 8

divide

= 38x / 38

Please help! Find X:
5

31

10

60

Answers

Answer:

x=10

Step-by-step explanation:

What is the measure of angle DEC?

Answers

Answer:

95

Step-by-step explanation:

dct equals 140, dct also equal det plus edc, so 140 - 45 = 95

Have to find x and y . Please help!

Answers

Answer:

Step-by-step explanation:

x can be anything so let’s use 0, 1, 2, and 3 for x values

to find the y values, we just plug in the x values into the equation

when x = 0

y = 5/4(0) -2

y = 0 -2

y = -2

(0, -2) (x = 0, y = -2)

when x = 1

y = 5/4(1) -2

y = 5/4 -2

y = 5/4 -8/4

y = -3/4

(1, -3/4) (x = 1, y = -3/4)

when x = 2

y = 5/4(2) -2

y = 10/4 -2

y = 5/2 -4/2

y = 1/2

(2, 1/2) (x = 2, y = 1/2)

when x = 3

y = 5/4(3) -2

y = 15/4 -2

y = 15/4 -8/4

y = 7/4

(3, 7/4) (x = 3, y = 7/4)

Answer:

Table shown below

Step-by-step explanation:

Table of Values

We are given the function:

[tex]\displaystyle y=\frac{5}{4}x-2[/tex]

And it's required to fill the table of values for x and y with the condition that there are only integers.

Given the expression has a denominator of 4, to ensure there are no decimals in the results, we select values of x that are multiple of 4.

Select the values: {-4,0,4,8}

Now calculate the corresponding values of y.

x=-4

[tex]\displaystyle y=\frac{5}{4}(-4)-2=-5-2=-7[/tex]

y=-7

x=0

[tex]\displaystyle y=\frac{5}{4}(0)-2=0-2=-2[/tex]

y=-2

x=4

[tex]\displaystyle y=\frac{5}{4}(4)-2=5-2=3[/tex]

y=3

x=8

[tex]\displaystyle y=\frac{5}{4}(8)-2=10-2=6[/tex]

y=8

The filled table is shown in the attached image

In the xy-plane, the line with equation
y = 4x - 28 crosses the x-axis at the point
with coordinates (a, b). What is the value
of a?
A. -28
B. -2
C. O
D. 5
E. 7​

Answers

Answer:  E.  7

=======================================================

Explanation:

Any point on the x axis always has its y coordinate equal to 0.

Plug in y = 0 and solve for x

y = 4x-28

0 = 4x-28

4x-28 = 0

4x = 28

x = 28/4

x = 7

Therefore, the point (7, 0) is on the line y = 4x-28 and also on the x axis. This is known as an x intercept.

Comparing (7, 0) this to (a, b) shows that a = 7 and b = 0.

Find x AND the length of each side if FGH is an equilateral triangle. (Round to the nearest tenth if needed)

Answers

Answer:

x = 3

Each side is 19

Step-by-step explanation:

HF = FG = HG cuz this is an equilateral triangle, meaning all sides are equal.

Sean's father decided that the number of hours Sean should study daily is equal to the equation y + 4 16. where y is the

number of study hours and z is the number of relaxation hours. Sesn's mother believes that the number of hours Sean should study

dally should be equal to the equation 2y + 5z = 32. Sean's parents have decided to use both equations to determine the number

of hours Sean should study and relax What is an equivalent equation to the addition of Sean's mother's equation and Sean's father's

equation? Select all that apply.

Answers

Answer and explanation:

We add both equations to get a simultaneous equation

y+4z=16

2y+5z=32

We solve the equations using elimination method:

Multiply equation 1 by 5 and equation 2 by 4 to cancel out z

5y+20z=80

8y+20z=160

-3y=-80

Y=26.7

Substitute y=26.7 in equation 1

26.7+4z=16

4z=16-26.7

z= -2.67

y+z=26.7+(-2.67)= 24.03

About how much should the gratuity for the restaurant server be? Round the percent of gratuity to the nearest benchmark percent to find the answer.

$ _____

Answers

The gratuity of the hotel server has to be $8.

How to solve for the gratuity

The tax of the restaurant server is 8.5 percent

We have tro find this based on salary

40 dollars x 0.85 = 34

The income 34 - 18

= 16

Half of 16 = 8

Hence the amount that is the percentage of gratuity is 8 percent.

Read more on gratuity here:

https://brainly.com/question/689122

#SPJ1

Marge home is Is heated by hot water circulating in pipes recently the system developed a Smalley Inn loses 1 1/5 mm every 30 minutes uses complex fraction to find the amount of water in system per minute

Answers

Answer:

why are we stilll here

Step-by-step explanation:

What is 160% of 40? Four students solved this problem and their work is shown below. Choose the student whose work is correct. Cam's work. 16 times 40 = 00 .00 + 640 = 640. Gitana's work. 1.6 times 40 = 00. 00 + 640 = 64.0. Naoko's work. 0.16 times 40 = 00. 00 + 640 = 6.40. Sanjay's work. 160 times 40 = 00. 00 + 6400 = 6400.

Answers

Answer:

Gitana's work is correct

Step-by-step explanation:

Divide 40 with 100 then multiply it by 160

40 ÷ 100 × 160 = 64

Answer:

Gitana is correct.

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!


FIND what was the mistake
and what is the correct answer

Answers

Answer:

Step-by-step explanation:

Instead of dividing both sides by 5, it is multiplied

5x + 3 = 6            {Subtract 3 from both sides}

5x + 3 - 3 = 6-3

            5x = 3       {Divide both sides by 5}

           5x/5 = 3/5

                 x = 3/5

If cos(x) = 3/4 and tan(x) < 0, what is cos(2x)

Answers

Answer:

C. 1/8

Step-by-step explanation:

on edge

Answer:

1/8

Step-by-step explanation:

Sheila's class recycles a total of 6 pounds of paper in 2
weeks. After 5 weeks, how many pounds of paper will
Sheila's class have recycled?

Answers

Answer:

It should be 15 pounds

Step-by-step explanation:

If you divide 5 weeks (the amount you need) by 2 weeks (the current ratio 6:2) then you get 2.5. Lastly just multiply 6 pounds to it (the other part of the ratio/ pounds per 2 weeks)

Given the relation y = 7x2 + 3, if the input is 4, what is the output?

115
116
118
120

Answers

The answer would be

155

Have a good day bye!

Answer:

ur answer would be 115!

Step-by-step explanation:

I got it right on the test!!

:--)


A copy machine makes 126 copies in 4 minutes and 30 seconds. How many copies does it make per minute?

Answers

Answer:

it makes about 41 copies per minute

it makes 41 copies ;)

-2 (1 - 4x)=3x +8 is

Answers

Answer:

= 2      

1. Rearrange terms

2.Distribute

3. add 2  to both sides of the equation

4.Simplify

5.Subtract 3  from both sides of the equation

6. Simplify again

7. Divide both sides of the equation by the same term

8. Simplify one more time

Perform the indicated operations. Write answer in descending order.

Add -3x, 5x + y, and 7x - 8 - 3y

Answers

9x - 2y - 8
F I N A L A N S W E R

The required sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
To add -3x, 5x + y, and 7x - 8 - 3y, we can first combine like terms.

Group the x-terms together:

-3x + 5x + 7x = 9x

Group the y-terms together:

y - 3y = -2y

Group the constants together:

-8

Putting it all together, we get:

9x - 2y - 8

Therefore, the sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ7

In triangle OPQ, p = 38 cm, q = 29 cm and Angle O=39º. Find the length of o, to the nearest
centimeter.

Answers

Answer:

The length of o is 24 centimeters

Step-by-step explanation:

In Δ OPQ

∵ Side p is opposite to ∠P

∵ Side q is opposite to ∠Q

∵ Side o is opposite to ∠O

→ To find side o we must use the cosine rule

∴ o = [tex]\sqrt{p^{2}+q^{2}-2(p)(q).cos(O) }[/tex]

∵ p = 38 cm

∵ q = 29 cm

∵ m∠O = 39°

→ Substitute them in the rule to find o

∴ o = [tex]\sqrt{(38)^{2}+(29)^{2}-2(38)(29).cos(39)}[/tex]

∴ o = 23.92008154

→ Round it to the nearest centimeter (whole number)

o = 24 centimeters

The length of o is 24 centimeters

log x = log(x + 3) - log(x - 1)

Answers

First note that log(x) is defined only for x > 0; log(x + 3) for x > -3; and log(x - 1) for x > 1. So if we find any solutions x ≤ 1, these will be extraneous.

Condense the right side:

log(x) = log((x + 3) / (x - 1))

Let b be the base of the logarithm. Then writing both sides as powers of this b simplifies the equation to

b^log(x) = b^log((x + 3) / (x - 1))

x = (x + 3) / (x - 1)

Solve for x :

x (x - 1) = x + 3

x ² - x = x + 3

x ² - 2x - 3 = 0

(x - 3) (x + 1) = 0

x - 3 = 0   or   x + 1 = 0

x = 3   or   x = -1

We throw out x = -1 because it's less than 1, so the only (real) solution is x = 3.

Please find attached photograph for your answer.

Please help! Find m

160°

260°

50°

80°

Answers

Answer:

The answer is 80°.

Step-by-step explanation:

360° - 100° = 260°

260° - 100° = 160°

160° / 2 = 80°

* the theorem is m < UTS = 1/2 (m < UTS - m < US)

* m = measure

The measure of m<UTS is 80 degree.

The correct option is D.

What is Arc?

An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

We have,

From the figure we can write

m < UTS = 1/2 (m < UTS - m < US)

As, m <UTS = 360 and arc US = 100

= 1/2(360° - 100° - 100)

= 160° / 2

= 80°

Thus, m< UTS is 80 degree.

Learn more about Arc here:

https://brainly.com/question/18741430

#SPJ2

If 2 more than 2/3 of a certain number is
8, then the number is​

Answers

Answer:

4/3 because 2/3x2/1=4/3×2=8/6÷2=4/3

What is the answer of the chart (picture) please help

Answers

Answer:

DARK Blue! 0.4!

Step-by-step explanation:

what is the sulotion of 3^2-[3-4(8-2^2]^2​

Answers

Answer:

70

Step-by-step explanation:

Evaluate -2x + -3y if x = 10 and y = -6

Answers

-2(10)+-3(-6)

It would be -2

A parent is using a garden hose to fill up a small inflatable pool for her young child. The
pool has a capacity of 90 gallons. She turns the water off after 5 minutes, but leaves the
hose in the pool for another 3 minutes before putting it away.
In this situation, the relationship between the gallons of water in the pool and the 8
minutes since the parent started filling the pool can be seen as a function.
1. In that function, which variable is independent? Which one is dependent?

Answers

Answer:

The independent is the 90 gallons and the dependent is the 8 minutes.

Hope this helps!

Step-by-step explanation:

Someone help asap

Enter the your answer in the box provided to fill in the black space that will make the equation true.



____(3 + 4) = 36 + 48

Answers

Answer:

12 will come in the blank

Step-by-step explanation:

Distributive property is used

a(b + c)  = a*b + a*c

36 + 48 = 12*3 + 12*4

           = 12(3 + 4)

Other Questions
Compare these examples of matter. Which of these is a pure substance and why? A Milk, because every portion of the matter is the same, and its components can only be separated chemically. B Coffee, because every portion of the matter is the same, and its components can only be separated chemically. C Salt water, because every portion of the matter is the same, and its components can only be separated chemically. D Carbon dioxide, because every portion of the matter is the same, and its components can only be separated chemically. Can somebody solve this problem please answer asap for brainliest The MRP input storing information on the status of each item by time period (e.g., scheduled receipts, lead time, lot size) is the: PLZ HELP!!!! I WILL GIVE ANYONE WHO ANSWERS CORRECTLY A BRAINLIST THING Preview the following article and summarize in your own words. Identify if the article is based on fact or opinion.It's long been known that widowed, single and divorced people have a higher disease rate and die earlier than married people. When such a single person owns a pet, the pet will decrease the isolation of that person. Isolation is hazardous to good health. The best pets for these people are dogs, cats and even birds! The pet owner will have something to care for. This is one of the reason that married people live longer according to scientific studies. Scientists say the caring for another (person or animal); can make possible a psycho-endocrine response. This type of response results in a greater resistance to illness and disease. PLEASE HELP TIMED TEST Which list contains only dependent qualities from the graph?O 8, 9, 11, 12O 8, 48, 9, 5448, 50, 52, 54O 48, 54, 55, 61 GroundWater is nearly impossible to find because... (support with evidence) To win a trivia game, Nevan must score 90 points. Each correct answer is worth 134 points, and each incorrect answer is worth 14 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score? Heats a beaker of water to a boil. Then he records that the water temperature decreases from 100C to 19C in 525 minutes. What was the change in temperature each minute? Enter your answer in the box. how do i find the value of x in -5 = .5x Which statement is true about vertical angles. 1 point Vertical angles are congruent if two lines are parallel. If vertical angles are congruent, then two lines are parallel. Vertical angles are always congruent. Vertical angles are supplementary if two lines are parallel. Which best explains why there is so much folkore about Mount Kilimanjaro The diagram below represents a cell in a human body which statement concerning the structures within the cell is acurate we can describe 3x-2 as an expression.how can we describe the parts of the expression the arrows point to Order of operation with Integers WILL GIVE BRAINLIEST PLS!! Graph the system of equations. {xy=6 4x+y=4 Use the Line tool to graph the lines. Given ACP LNX, find each missing measure. Jim earns $100,000 a year at his job. He owes $20,000 a year for his home mortgage payment, and $30,000 a year for his combined cabin, boat, and car payments. What is Jim's yearly accumulated wealth before he spends anything on himself or his family? A ball of mass of 0.5kg is dropped from a height of 2m.Assuming that all of the GPE is transferred to KE, whatwill be the velocity of the ball when it hits the ground? Solve for p in the literal equation 8p + 3r = q. In UVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (3x+16)^{\circ}mUVW=(3x+16) , \text{m}\angle WUV = (2x+8)^{\circ}mWUV=(2x+8) and \text{m}\angle VWX = (8x-18)^{\circ}mVWX=(8x18) Find \text{m}\angle WUV.mWUV.