If using the method of completing the square to solve the quadratic equation
x2 + 7x – 27 = 0, which number would have to be added to "complete the
square"?

Answers

Answer 1

To determine the constant that makes the expression (x² + kx) a perfect square,

Take the coefficient of the second term which is k and ÷2

In this case, it is (7/2)²

At the end it looks like

x² + 7x + (7/2)² = 27 + 49/4

(x + 7/2)² = 157/4

Answer 2

The  number is added is 7/2² or 49/4.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x² + 7x – 27 = 0.

Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x

So, x² + 7x – 27 +7/2² - 7/2² = 0.

( x+ 7/2)² – 27- 49/4 = 0.

( x+ 7/2)² = 157/4

Hence, the number is added is 7/2² or 49/4.

Learn more about equation here:

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Related Questions

can someone help me pleaseee :)

u have to make the questions become y = mx + b

Answers

Answer:

3. 8y= -7x -12

4. -3y= 4x -12

5. 7y= -2x +4

Do you want me to do the rest?

did you got it??

The rest are:

6. -3y =6x +12

7. -10y= 5x+20

8. 4y=2x +12

If ADEF = AJKL, DE = 18, EF = 23, DF = 9x - 23, JL = 7x-11, and JK = 3y - 21, find the
values of x and y.

Answers

Answer:

x = 6

y = 13

Step-by-step explanation:

since DE and JK are congruent, they are both 18

to find 'y':

3y - 21 = 18

3y = 39

y = 13

DF and JL are diagonals that are congruent so:

9x - 23 = 7x - 11

2x = 12

x = 6

X=6 Y=13 values of x and y

how do i change y+2=2/7(x-1) from point-slope form to standard

Answers

standard form is y=mx+b

to get there lets simplify the equation

y+2=(2/7)(x-1)   original in point slope form

y+2=(2/7)x-2/7      distribute 2/7

y=(2/7)x-16/7         subtract 2 from both sides, 2=14/7

answer: [tex]y=\frac{2}{7}-16/7[/tex]

can u guys plzzzzzzzzzzzz help

Answers

Answer: p =2

Step-by-step explanation: Look at how many people I helped, trust me

What is the equation of this trend line? Enter answers by filling in the box

Answers

Answer:

N= 110 M+ 55?

I'm just trying my best to help you

in a survey of 1500 people who owned a certain type of car, 1050 said they would buy that type of car again. what percent of the people surveyed were satisfied with the car?

Answers

Answer:

70%

Step-by-step explanation:

Since 1050 were satisfied.....1050/1500=.7 tun into percent u get 70%

Find the slope of the line through the given points (4,-2),(-1,8)

Answers

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, -2)

Point (-1, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                             [tex]\displaystyle m=\frac{8+2}{-1-4}[/tex][Fraction] Add/Subtract:                                                                                  [tex]\displaystyle m=\frac{10}{-5}[/tex][Fraction] Divide:                                                                                                 [tex]\displaystyle m=-2[/tex]

Will give brainliest please answer please

Answers

Answer:

E,F,B

Step-by-step explanation:

Answer:

A,C,E

Step-by-step explanation:

12/21= .571428571

4/7, 16/28 and 8/14 all result in this decimal

Construct quadrilateral with the measurements given below:
Quadrilateral ABCD with AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm
and AC = 7 cm​

Answers

Answer:

Cevap A şkkı

İyi dersler

16 üssü 5 sayısının 1 ➗ 8 i kaçtır? ​

Answers

Answer:

The answer is 131072

Step-by-step explanation:

[tex] \frac{1}{8} \times {16}^{5} = 131072[/tex]

3/4x+3-6/2x-1 algebric fractions

Answers

Answer:

-9x-8/4

Step-by-step explanation:

The answer would be -9/4x+2

Hope this helps

Have a great day/night

Feel free to ask any questions

How many gallons of a 20% antifreeze solution and a 15% antifreeze solution must be mixed to obtain 30 gal of a 18% antifreeze solution? Round to the nearest gallon

Answers

Answer:

20% antifreeze solution = 18 gal

15% antifreeze solution = 12 gal

Step-by-step explanation:

Let

20% antifreeze solution = x

15% antifreeze solution = y

x + y = 30

0.20x + 0.15y = 30 * 0.18

0.20x + 0.15y = 5.4

x + y = 30 (1)

0.20x + 0.15y = 5.4 (2)

From (1)

x = 30 - y

Substitute x = 30 - y into (2)

0.20x + 0.15y = 5.4 (2)

0.20(30 - y) + 0.15y = 5.4

6 - 0.20y + 0.15y = 5.4

- 0.20y + 0.15y = 5.4 - 6

-0.05y = -0.6

y = -0.6/-0.05

y = 12 gal

Substitute y = 12 into (1)

x + y = 30 (1)

x + 12 = 30

x = 30 - 12

x = 18 gal

20% antifreeze solution = 18 gal

15% antifreeze solution = 12 gal

Find all x-values for which f ( x ) = 2 for the function below.

{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 1 ), ( 2, - 3 ) }
how would i solve this please help

Answers

Answer:

x = -3

Step-by-step explanation:

First let us get the equation of the coordinates

y-y0 = m(x-x0)

Using the coordinates ( - 3, 2 ), ( - 1, 0 )

m = 0-2/-1-(-3)

m = -2/2

m = -1

Substitute m = -1 and (-1, 0) into the formula

y - 0 = -1(x+1)

y = -x-1

f(x) = -x-1

Since f(x) = 2

2 = -x-1

-x = 2+1

-x = 3

x = -3

Hence the value of x is -3

Pls help
Given the equations, identify which way the parabola opens by matching an equation on the left with a term on the
right.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When the parabola has a y^2 term it opens horizontally. (Positive and negative values of y give the same value of x.)

When the parabola has an x^2 term it opens vertically. (Positive and negative values of x give the same value of y.)

The sign is negative when the opening is down or to the left.

__

The opening directions are shown in the attachment.

Answer:

look below

Step-by-step explanation:

i did it

Which graph represents the function f(x)=x2−49/x+7

IS MY ANSWER CORRECT????

Answers

Answer: yes you are correct

Step-by-step explanation: just took the test

Answer:

Indeed you are(For anyone else, make sure to see that your bottom point is not filled in. The Top point is black and filled and the bottom is not)

Step-by-step explanation:

AI need help with this math homework ASAP I need the independent variable the dependent and the equation

Answers

Answer:

b is the independent variable

c is the dependent variable

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Drew orders a video game online for $50.00. He has a 30% discount
code, and the sales tax is 6%. What is the total cost of his order?

Answers

50(30%) = 15

50 - 15 = 35

35 (6%) = 2.1

35 + 2.1 = $37.10

the total cost of his order is $37.10 !!

A school custodian discovered a leak in a water pipe. The custodian found that 2,432 fluid ounces of water had leaked out. How many gallons of water is​ this? Use the conversion factor 1 gallon 128 fluid ounces.

Answers

Answer: 19 gallons

Step-by-step explanation:

Conversion factor is 1 gallon is to 128 fluid ounces.

If 2,432 fluid ounces leaked out, to find out the amount of gallons this was, you need to divide the fluid ounces by the number of fluid ounces in a gallon. This is what is done when moving from a smaller unit to a larger one.

= 2,432 / 128

= 19 gallons

Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain

Answers

The properties of a parallelogram:

1. opposite sides are parallel

2. opposite sides are equal in length

3. opposite angles are equal

4. diagonals bisect each other

if XN=NZ and NY=NW, then

XY=WZ and XW=YZ because the corresponding angles are equal = corresponding sides are equal

The opposite sides are parallel as well because the diagonals are equal (the vertical opposite angles are equal)

This was a word pasta but hope this helps

The opposite sides are parallel because the diagonals are equal.

Properties of parallelogram

From the given parallelogram, you can see that the diagonals bisect each other.

Also if XN=NZ and NY=NW, then XY=WZ and XW=YZ show that the corresponding angles are equal

Also from the diagram, the opposite sides are parallel because the diagonals are equal (the vertical opposite angles are equal).

Learn more on properties of parallelogram here: https://brainly.com/question/3100335

help help help MARK BRAINLEST

Answers

Answer:

x=18

Step-by-step explanation:

S=(n-2)180

S=(5-2)180

S=3x180

S=540

540=(9x-6)+(3x+23)+95+((7x-4)+90

540=19x+198

540-198=19x

342=19x

342/19=x

x=18

cuanto es 1/6 - 1/8 =​

Answers

1/6 - 1/8
LCD: ?
Lowest common denominator is 24, therefore

4/24 - 3/24 = 1/24

Answer is 1/24

Answer:

1/24  ≈0.042

Step-by-step explanation:

Amy and Darren each solved the following system of equations using a different method
y=0.5x + 1
4x -2y=4

Is either of them correct? Explain your reasoning and give the correct solution to the system.

Answers

Answer:

what is

Step-by-step explanation:

the the 3 4 4

You're given a side length of 8 centimeters. How many equilateral triangles can you construct using this information

Answers

Answer:

1 equilateral triangle

Step-by-step explanation:

Given

Shape: Equilateral Triangle

Side length = 8cm

Required

Determine the number of triangles

From the question, we understand that the triangle is equilateral and the length of a side is 8cm.

This implies that the length of other sides will also be 8cm.

So, only one triangle can be constructed and their side lengths is 8cm.

Vinay bought a flat for ₹ 4,50,000. He spent ₹ 10,000 on its paintings and repair. Then he sold it for ₹ 4,25,500. Find his gain or loss and also its percent.​

Answers

Step-by-step explanation:

hence you got the answer

Was it helpful?

comment down

If there is any kind of suspicious mistake

then sorry

Greg’s family went to the movie theater and bought tickets and popcorn. They spent $35 altogether with $9.50 spent on popcorn. Write an equation that can be used to find out how much money x they spent on tickets.

Answers

Well I got

x = 35 - 9.50

Find the bank discount and proceeds using ordinary interest for a loan to michelle anders for 7,200 at 8.25% annual simple interest from august 8 to november 8

Answers

Answer:

$145.5

Step-by-step explanation:

Period, t = August 8.to November 8 = 3 months

Simple interest formula :

A = P(1 + rt)

A = final amount =. 7200

7200 = P(1 + (0.0825 * 3/12))

7200 = P(1 + 0.020625)

7200 = P(1.020625)

7200 = 1.020625P

P = 7200 / 1.020625

P = 7054.5009

Bank discount :

A - P

7200 - 7054.5009

= $145.4991

= $145.5

1.45x + 1.25y =70.85

x + y = 53

Answers

Answer:

Your answer is

y= 30

x= 23

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

Enrique deposited $4,700 into an account. He made no additional withdrawals or deposits. Enrique earned 1.65% annual simple interest on the money in the account.

What was the balance in his account at the end of 4.5 years?

Enter the amount in the account in the box.

Answers

Answer:

$5,048.98

Step-by-step explanation:

took the test


Help me! Another question on khan.

Answers

Answer:

what are you trying to find the slope?

Step-by-step explanation:

Answer:

calculando la circunferencia

Answer the photo below thanks

Answers

Answer:

6x60=360

Step-by-step explanation:

60

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