If using the method of completing the square to solve the quadratic equation x^2-19x+9=0 which number would have to be added to "complete the square"?

Answers

Answer 1

Answer:

90.25

Step-by-step explanation:

Given the quadratic equation x^2-19x+9=0 re arranging we have;

x^2-19x+9 - 9=0 -9

x^2-19x = - 9

In order to complete the square we would add  a number to both sides and the number will be the square of the half of coefficient of x in the expression as shown.

Coefficient of x = -19

half of coefficient of x = -19/2

square of the half of coefficient of x = (-19/2)²

square of the half of coefficient of x = 361/4

square of the half of coefficient of x = 90.25

Hence the number that would have to be added to "complete the square" is 90.25


Related Questions

What is the difference between ordering numbers, comparing numbers, and comparing amounts?

Answers

Answer:

different definitions

Step-by-step explanation:

ordering numbers can be seen as arranging the numbers by a certain characteristics. for example, you could order numbers from least to greatest

comparing numbers can be seen as looking into two or more numbers rather than the entire group of numbers. for example, if there were the numbers 1, 2, 3, 4, 5, 6, you could say that 2, 4, 6, are even numbers

comparing amounts could be determined by worth but not the numerical values. for example, you could have a gallon of milk and a quart of orange juice but just by the size of the container, a gallon of milk is bigger and holds more than a quart of orange juice

an equation of the line that passes through (2, −4) and (0, −4).

Answers

Answer:

what

Step-by-step explanation:

Answer:

y = 0x - 4

Step-by-step explanation:

The slope is 0

The average distance a swimmer swims
can be described by the equation
d= 30t, where d is the
horizontal
distance in meters and tis the time
in minutes. Find the distances the
swimmer swims at the times of 7, 10, 14,
and 20 minutes.

Answers

Answer:

the distance for 7 minutes is 210m

the distance for 10 minutes is 300m

the distance for 14 minutes is 420m

the distance for 29 minutes is 600m

Step-by-step explanation:

d=30(7)

d=210

d=30(10)

d=300

d=30(14)

d=420

d=30(20)

d=600

• Samir and Jillian share a phone plan. Each month they can use a combined total of up
to 8 GB of data. So far this month, Samir has used 4.23 GB and Jillian has used 2.89 GB.
They want to know whether they still have data left to use.
.) Find the
sum
of Samir's and Jillian's data.
Compare that amount to
8
GB.
) An exact calculation is not necessary to solve the problem.
You can approximate the sum by rounding the addends.
• Round each person's data to the nearest gigabyte.
Samir:
GB
Jillian:
?
GB
7
8
9
4
5
6

Answers

Answer:

72GB

Step-by-step explanation:

Answer:

7 GB

Step-by-step explanation:

Just did this

distribute 3(7x - 8)

Answers

Answer: 21x - 24

Step-by-step explanation:

(3 * 7) x - 3 (8) = 21x - 24

Graph y < -x - 1, I do not understand what to do without a slope given.

Answers

Answer:

Step-by-step explanation:

If you are not given a number before x always assume it is a 1 and if there are no visible denominators also assume that it is 1

In this case the inequality reads y<-1x/1-1

The slope is -1/1x or fall 1 crawl 1

The y-intercept is -1

I looked up the graph...

Solve the equation
-0.06y +0.11(10,000 - y)=0.08y
A. (2,750)
B (4,400)
C. (13,200)
D. (275)

Answers

Answer:

B. 4400

Step-by-step explanation:

-0.06y +0.11(10,000 - y)=0.08y-0.06y + 110 - 0.11y = 0.08y-0.17y + 110 = 0.08y0.08y + 0.17y = 1100.25y = 110y = 110/0.25y = 4400

Correct option is B.

Sierra plays a hockey video game. She earns 5 stars for
every goal she scores and loses star every time she
misses the goal. She scores 4 goals and misses

Answers

I cant give you the answer because you didn’t finish your question, however I can tell you she has at most 20 starts. 4 goals = 20 stars. Subtract the number of goals she missed and you will have your answer for the total number of goals.

Answer:

the answer is 16

Step-by-step explanation:

In Exercises 8-9, write a linear function f with the given values.
8. f(1)=3,f(3)=4
9. f(6)=9,f(-5)=0

Answers

Answer:

yo add me on intagram Its_yo-Boy_Jonathan65

Step-by-step explanation:

5÷4/9 help mee :_<<<<<<​

Answers

Answer:

45/4 I think

Step-by-step explanation:

you would do keep flip switch

so 5 would be 5/1, flip 4/9 to become 9/4 then multiply 5/1 by 9/4

hopefully this helps you

Answer:

5 divided by 4/9 equals 45/4, or 11.25

Step-by-step explanation:

How many solutions does the equation have?
x^4 + 7x^2 – 144 = 0


Answers

Answer:

The equation has no real solutions. It has 2 imaginary, or complex solutions.

Step-by-step explanation:

Is 23 x 10^8 written in scientific notation

Answers

Answer:

yes,it is written in scientific notation.

Yes, the given number is written in scientific notation.

What is scientific notation?

A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.

Yes, 23 x 10^8 is showing a specified degree of accuracy.

Therefore, it is written in scientific notation.

For more references on scientific notation, click;

https://brainly.com/question/18073768

#SPJ1

Which answer choice best describes 3x ?
terms
constant
coefficient
factor

Answers

It is a term.....................

what is the solution for 36.16=17.56+5x

Answers

Answer:

x=3.72

Step-by-step explanation:

Answer: x = 3.72

Step-by-step explanation:

36.16 = 17.56 + 5x

-17.56 = -17.56

18.6 = 5x

Divide 18.6 by 5 and divide 5 by 5.

3.72 = x

Which of the following is equivalent to 12x + 6?

Answers

Answer:

6  ( 2 x + 1)

Step-by-step explanation:

6 (2x+1)
I think but im not 100 percent sure

What similarity property, if any, can be used to show that the following two triangles are similar.

A.) SAS
B.) AA
C.) SSS
D.) Not enough information given

Answers

The answer would be C which is SSS

I need help on photo above please!!!

Answers

Option two is the correct answer
Hope this helps :)

Mrs. Kidd is five feet 3 inches tall. If one inch is approximately 2.5 centimeters, how many centimeters tall is Mrs. Kidd? Do NOT round or label your answer

Answers

Answer:

Mrs.kidd is 162.5 centimeters tall

Step-by-step explanation:

5 foot 3 inches is 63 inches

63 times 2.5 = 162.5

Mrs.kidd is 162.5 centimeters tall

can you please help meee ,due at 11!

Answers

1 is B and then 2 is A

The following two triangles are similar. Find x

A.) 4
B.) 6
C.) 7
D.) 5

Answers

It’s C because if you divide 48 by 8 you get 6 so 56 divided by 8 equals 7 which is C

The value of x is 7.

Option C is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two similar triangles.

56/48 = x/6

Cross multiply.

x = (56 x 6)/ 48

x = (7 x 6)/6

x = 7

Thus,

x is 7.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

can anyone help me solve this twenty points if you solve it

Answers

Answer:

Option d is the ryt answer.

Point slope form:

y-y1 = m(x-x1)

Slope intercept form:

y = mx+b

HURRY ASAP HELP




Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how you would determine the amount of money saved by using Store A instead of Store B?

Answers

Step-by-step explanation:

Store A:

6% of 1,200 is 72

72 + 1,200 = 1,272

Thus, store A has a total of 1,272

Store B:

7% of 1,350 is 94.5

94.5 + 1,350 = 1444.5

Thus, Store B has a total of 1444.5

1444.5 - 1,272 = 172.5

Thus, Store A is cheaper.

Answer:

sales tax- rate×original amount

A- 6/100(1200)=72

B- 7/100(1350)=94.5

pic below...........
..............
look below

Answers

Answer:

3

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

2.25 or fraction 9/4

Step-by-step explanation:

The Kennedy Middle School cafeteria charges students $3 for 1 6 of a pizza. What is the cost per pizza?

Answers

Answer:

3*16=48

Step-by-step explanation:

If 1/16th of a pizza is 3 dollars, 1/16*16=1    3*16=48

Therefore,

1 pizza is $48

You really paying that much for one pizza

18 is answer i think

Can anyone please help me with #30? :(

Answers

Answer:

See below.

Step-by-step explanation:

30.

E(1, 2), F(5, 6), G(3, -2)

a)

H, midpoint of segment EG

H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)

J, midpoint of segment FG

J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)

b)

Show that segment HJ is parallel to segment EF.

Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.

slope of segment HJ:

slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1

slope of segment EF:

slope EF = (6 - 2)/(5 - 1) = 4/4 = 1

slope HJ = slope EF = 1

Segments HJ and EF are parallel since their slopes are equal.

c)

Show HJ = (1/2)EF

We use the distance formula to find the lengths of segments HJ and EF.

length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)

length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)

HJ = (1/2)EF

Substitute the lengths we found just above for HJ and EF:

2sqrt(2) = (1/2)[4sqrt(2)]

2sqrt(2) = 2sqrt(2)

The two sides are equal, so we have proved that HJ = (1/2)EF.

(80i) – (80 + 101) =
Express your answer in the form (a + bi).

Answers

Answer:

- 80 + 70i

Step-by-step explanation:

Given

80i - (80 + 10i) ← distribute by - 1

= 80i - 80 - 10i ← collect like terms

= - 80 + 70i

Answer:

(80 i) - (80 + 101)

80 i - ( 181)

-181 + 80 i

Step-by-step explanation:

A pet store has 40 animals for sale and 15 of them are puppies what is the ratio of animals that are not puppies to the total number of animals for sale at the pet stor

Answers

Answer: 5:8

Step-by-step explanation:

Given: Total animals in the pet store = 40

Number of animals that are puppies= 15

Number of animals that are not puppies= 40-  15 = 25

Now , the ratio of A to B = [tex]\dfrac{A}{B}[/tex] or A : B.

So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = [tex]\dfrac{25}{40}[/tex]

Divide numerator and denominator by 5 , we get [tex]\ \ \ \dfrac{5}{8}[/tex].

Hence, the required ratio = 5:8

HELP!!BRAINLIEST AND 10 POINTS

Answers

Answer:

A

Step-by-step explanation:

I think that's da answer I hope it help ya

In right triangle XYZ, the tangent of acute angle X is 4. What is the secant of angle X?

Answers

Answer:

The secant of angle x; sec x = √17

Step-by-step explanation:

Here, given the tangent of an angle, we want to find the value of the secant

Mathematically;

sec^2 x = 1 + tan^2 x

This is from trigonometric identity

Thus;

sec x = √(1 + tan^2 x)

According to the question;

tan x = 4

So tan^2 x = 4^2 = 16

Thus;

sec x = √1 + 4^2

sec x = √17

Given the exponential function [tex]f(x) = 9(3)^x[/tex], what is the value of f(x) when x =-1

Answers

Answer:

f(-1) = 3

General Formulas and Concepts;

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 9(3)ˣ

x = -1

Step 2: Solve

Substitute:                    f(-1) = 9(3)⁻¹Evaluate:                       f(-1) = 9(1/3)Multiply:                        f(-1) = 9/3Divide:                           f(-1) = 3
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