Follow the process of completing the square to solve x2 - 10x + 8 = 0. What is the value of the constant that will be isolated on the right side of the equation in step 3? -8 -12 -32

Answers

Answer 1

Answer:

25

Step-by-step explanation:

Given the expression x^2 - 10x + 8 = 0.

According to completing the square method

Subtract 8 from both sides

x^2 - 10x + 8 - 8 = 0 - 8

x^2 - 10x = -8

Complete the square

Add the square of half of coefficient of x to both sides

Coefficient of x = -10

Half of Coefficient of x = -10/2

Half of Coefficient of x = -5

Square of Half of Coefficient of x = (-5)^2

Square of Half of Coefficient of x = 25

Add (-5)^2 to both sides

x^2 - 10x + (-5)^2 = -8 + (-5)^2

(x-5)^2 = -8 + 25

(x-5)^2 = 17

Hence the required constant that was added is 25


Related Questions

STRESSING‼️ PLEASE HELP❗️❗️

Answers

Answer: 3.14

Explanation:
The formula for area is A = pi*r^2
Plug in your values A = 3.14*1^2
And your answer is 3.14

Hope this helps ;)

(3/2)^4= in fraction form help pls

Answers

Answer:

81/16

Step-by-step explanation:

The questions are in the image above.

Answers

Answer:

Hope this helps :)

you will find every answer in the photo I sent

In the diagram linem is parallel to linen
with a transversal linet.
Which of the below terms best describe
the relationship between <3 and <4?

Answers

Answer:

Alternate exterior angles

Step-by-step explanation:

If they shared a vertex, they would be vertical angles, but since they are on different lines, and alternate sides, the dark blue (alternate exterior angles) answer is correct.

What is the slope of the line containing points
A(4, -1) and B(0, 2)?
A.3/4
B. 4/3
C. -3/4
D. -4/3

Answers

The answer is C. -3/4. The slope is rise/run so you start at (0,2), “rise”(technically you go down 3 and that’s why the slope is negative) 3 and “run” 4 to get to the point (1,-4).

What’s the lateral surface area

Answers

Answer: 175 ft

Step-by-step explanation: Lateral surface area of a cube with dimensions a, b, c is 2ab+2ac+2bc, and then when you plug in the values and solve you get 175!

1. The small bag of potting soil weighs 3 1/4 pounds. The large bag weighs 3 2/3 times more than the small bag. How much does the large bag weigh?​

Answers

Answer:

11 11/12 lb

Step-by-step explanation:

"3 2/3 times more than the small bag" comes out to:

(3 2/3)*(3 1/4) lb.

Convert both mixed numbers to improper fractions:

11     13       143

--- * ---- = ----------- = 11.917

3      4         12

The large bag weighs 11.917 lb, which may be converted to the mixed number 11 11/12 lb

PLEASE HELP FAST WILL GIVE BRAINLIEST

Answers

Answer:

The answer is 25 degree because there is ( 8x-1)

Three friends shared one-fourth of a large pizza equally among themselves. Enter the fraction of a pizza that each person gets.

Answers

Answer: 1/12

Step-by-step explanation:

Billy made 2 gallons of juice for a picnic. He said that he made
2
4
quarts of juice.

Answers

Answer:

2/4 quarts of juice is 0.125 Gallons of juice for

Step-by-step explanation:

Please Give Brainliest

Answer:

He divided instead of using multiplication

Step-by-step explanation:

What is the surface area
8 yd
3 yd
14 yd

Answers

Answer: 336

Step-by-step explanation:

8 * 3 * 14

What is the solution set for -4m ≥ 96?

m ≥ -384
m ≤ -24
m ≤ -384
m ≥ -24

Answers

Answer:

Step-by-step explanation:

-4m≥96

-m≥24

m≤-24

Consider the derivation of the quadratic formula below. What is the missing radicand

in Step 6?

Answers

Answer:

[tex]\frac{b^2 - 4ac}{4a^2}[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required:

Complete step 6

At step 5, we have:

[tex](x + \frac{b}{2a})^2 = \frac{b^2}{4a^2} - \frac{4ac}{4a^2}[/tex]

Take LCM

[tex](x + \frac{b}{2a})^2 = \frac{b^2 - 4ac}{4a^2}[/tex]

Take square roots of both sides to get step 6

[tex]x + \frac{b}{2a} = \±\sqrt{\frac{b^2 - 4ac}{4a^2}}[/tex]

Hence, the missing radicand is: [tex]\frac{b^2 - 4ac}{4a^2}[/tex]

PLEASE HELP:)!!!!!

Which of the following projections is MOST accurate?

A) When the peak temperature is 40°C ,35 units of electricity are used on average

B) When the peak temperature is 40°C, 120 units of electricity are used on average

C) When the peak temperature is 40°C, 48 units of electricity are used on average

D) When the peak temperature is 40°C , 72 units of electricity are used on average

Answers

Answer:a

Step-by-step explanation:

Eu tenho um ovo de páscoa que custa 24,99 e tem 185 gramas, tbm tenho uma barra de chocolate q custa 5,10 e tem 90 gramad. Qual da mais vantagem para mim?

Answers

Answer:

A maior vantagem para mim é a barra de chocolate.

Step-by-step explanation:

Temos que encontrar o custo de 1 grama de ovo de Páscoa e barra de chocolate

Para o ovo de páscoa

Tenho um ovo de Páscoa que custa 24,99 e tem 185 gramas.

185 gramas = 24,99

1 grama = x

Multiplicação cruzada

185 gramas × x = 1 grama × 24,99

x = 1 grama × 24,99 / 185 gramas

x = 0,1612258065

Aproximadamente = 0,16

O custo de 1 grama de ovo de Páscoa = 0,15

Para a barra de chocolate

Também tenho uma barra de chocolate que custa 5,10 e tem 90 gramas.

90 gramas = 5,10

1 grama = x

Multiplicação cruzada

90 gramas × x = 1 grama × 5,10

x = 1 grama × 5,10 / 90 gramas

x = 0,0566666667

Aproximadamente = 0,06

O custo de 1 grama de barra de chocolate = 0,06

A maior vantagem para mim é a barra de chocolate.

Please help me asap thanks

Answers

Answer:

x=3.5

Step-by-step explanation:

To make DEF similar to XYZ, the sides have to be in the same ratio. EF corresponds to YZ. EF=3, and YZ=4.5. The ratio 3:4.5 can be simplified to 2:3. Side DF corresponds to XZ.  DF=7 and XZ=3x. So, the ratio is 7:3x.

To  find x, we first find out what 3x is.  In this case 3x is 3(7/2)=10.5. So, x=10.5/3=3.5.

pls solve this
(-21) x [(-4) + (-6)] = [(-21) (-4)] +[(-21)×(-6)]​

Answers

Answer:

ree kid it is 3409,3567

Step-by-step explanation:

The last time you bough pizza, 3 pizzdis was enough for 7 people. At that rate, how
many pizzas should you buy for a party for 35 people.

Answers

Answer:

15 pizzas.

Step-by-step explanation:

The rate is 3 pizzas for every 7 people. If there are 35 people at the party (7 times 5), the amount of pizzas you should buy is 15 pizzas (3 times 5). Hope I  explained that well (^^'')

Find the value of x. Round to the
nearest tenth.
12
Х
2597
X = ?
Enter

Answers

Answer:

x ≈ 5.1

Step-by-step explanation:

Using the sine ratio in the right triangle

sin25° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{12}[/tex] ( multiply both sides by 12 )

12 × sin25° = x , that is

x≈ 5.1 ( to the nearest tenth )

What’s the answer to this?!!!

Answers

Answer:

77 meters

Step-by-step explanation:

For a right triangle, the formula for side length is

a^2 + b^2 = c^2 where c is the hypotenuse (opposite the right angle)

36^2 + b^2 = 85^2

1296 + b^2 = 7225

b^2 = 5,929

find the square root of both sides:

b = 77

Please let me know if you have questions.

The bat population in a certain Midwestern county was 270,000 in 2012, and the observed doubling time for the population is 34 years.

Answers

What’s the question?

kam
A company's stock was selling at
$28 a share. A month later, it was
selling at $21 a share. What is the
percent loss?
[?]%

Answers

Answer:Im pretty sure it's 25% percent loss

Step-by-step explanation:

sorry if im wrong

How much water can a sponge filter in one minute?


2 quarts


3 quarts


4 quarts


1 quart

Answers

Answer:

It would be 4 quarts.

Step-by-step explanation:

The answer is 2 quarts

At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (ANSWER A AND B PLEASEEEEEEE I REALLY NEED HELP!!!!)

A). If 8 pizzas were bought, how many sodas were bought?

B). How much was the total money would be spent on the pizza and sodas from (A)?

THANK YOU SOOOOO MUCH!!!! :))))))

Answers

Answer:

61

Step-by-step explanation:

Givens

Let the pizzas = x

Let the sodas = y

Equation

y = 3x + 2

Part A

y = 3*8 + 2

y = 24 + 2

y = 26

Part B

Sodas = 26* 1.25 = 32.50

Pizzas =9.50 * 3  = 28.50

Total for both = 32.50 + 28.50 = 61

At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet long.

Answers

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft

PLAESE HELPPPPPPPP
What is the measure of the unknown angle?
A. 98
B. 100
C. 102
D. 108

Answers

Answer:

B 100

Step-by-step explanation:

A straight line is measure to 180°. n+80=180

Answer:

option B (100)

Step-by-step explanation:

I'm not sure what to do for this question.

Answers

Answer:

[9.99744 (10m)] for q#1 and [18688.006kg (18,688kg] for q#2

Step-by-step explanation:

Answer:

First blank is 10m

Second blank is 18688kg

Step-by-step explanation:

Use the conversion calculator

Can someone plz help me with this I need to get an 92 choose all that apply

Answers

Step-by-step explanation:

54, 54, 72

[tex]180 - 2 \times 54 = \\ = 180 - 108 = \\ = 72[/tex]

when drawing a marble from a bag that has 6 pink marbles, 3 blue marbles, and 7 green marbles. What is the probability of green. A) 1/2 B) 7/16 C) 9/16 D) 7/9

Answers

Answer:

B

Step-by-step explanation:

The total number of marbles in the bag is 3 + 6 + 7 = 16

The number of green marbles is 7

The probability is 7/16

Write an equivalent expression for 5+2+2x+2
please help me ​

Answers

Answer:

2x+9

Step-by-step explanation:

You have to combine like terms. 2x stays the same because there are no other like terms, but 5, 2, and 2 can be added together to make 9

Other Questions
woman that followed Neo-Confucianism were not allowed to be seen where? The jaguar is a top predator that helps to regulate other population in the rainforest. It produces waste that are broken down to nutrients by decomposers. Microorganisms live in its fur and it may also be home to some parasites. This description describes the jaguar's __________ ? A. Habitat B. Niche C. Awesome ninja-like skillsD. Trophic Level Should there be real world consequences for what someone posts on social media Help asap please!will mark brainliest if there's two answers Help ! Im stuck. Any help would be gladly appreciated Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported. Find the area of the trapezoids Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin. 10 B 10 0 10 10 A(1, 2) A'l B(1, 3) - BC What are the Five Pillars of Islam? A: the five things a Muslim must doB: the five sacred religious journeys of IslamC: the five duties expected of every MuslimD: the five great prophets of Islam Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centimeters. He will make the "X" by stretching red ribbon diagonally from corner to corner. A flat plate is subjected to a load of 5KN as shown in figure. The plate material is grey cast iron FFG 200 and the factor of safety is 2.5. Determine the thickness of the plate 2. GramGrammarCheck your grammar understanding by writing (True or (False)1. Do you have sister?. Yes, I do.2. When youcome to Germany?Last year...3. When you returnto Japan?Next year...4.You like German food?Not very much.5. Do you like dogs?Yes, I like .......6. He plays the piano very well, don't he?............7. Where she live?Sorry, I don't know.8. Will you help me today?Yes,I'll ...9. I live in Germany since 30 August 2006.10. I must get up very early yesterday morning......11. Can you do it?Yes, I think12.Did you play tennis?Yes, I played13. She got up and run to the door.14. Do you like a rap music? - No.15. My eyesarebad. I need the glasses, An expression is shown. 6 n What is the value of the expression when n=7? Given the following information about two triangles, triangle CAT and triangle DOG:Which postulate can be used to prove triangle CAT and triangle DOG are congruent?SSS Postulate SAS PostulateSSA PostulateASA PostulateAAS PostulateChoose all that apply A line segment has endpoints S(-9,-4) and T(6,5). Point R lies on ST such that the ratio of SR to RT is 2:1. What are the coordinates of point R? Please help here the question Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. A) Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.I ALREADY SOLVED A BUT I NEED HELP WITH B!!B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tvHELP ME PLEASE WITH B I ALREADY SOLVED ATHANK YOU!! PLEASE HELP THIS IS MATHHHHH What is the main harm that is damaging our oceans according to "Seaspiracy"? *2 pointsmicro-plasticsplastic strawsoverfishingtrash on beaches Help meeeeeeeeeeeeee Ill mark you as brinlist please help.