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

plz help me 2 plz 2 plz 2

Answers

Step-by-step explanation:

P(-4,7)

Q(-1,-1)

R(-8,-1)

Help! Quickly!

I beg thy to help.

Answers

Answer:

I think that B is the correct answer , 353.3 ft2 .

Good luck ^^

Answer: B
Answer Explanation: process of elimination

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how
many miles did the bus travel per hour?

Answers

Answer:

55 miles per hour

Step-by-step explanation:

.......ur welcome.......

330÷6=55

we divide the amount of miles by the time it took the bust to travel

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours,, The bus will travel  approximately 55 miles per hour.

To determine the number of miles the bus traveled per hour, we need to divide the total distance traveled by the time taken.

Given:

Total distance traveled = 330 miles

Time taken = 6 hours

To find the miles per hour, we divide the total distance traveled by the time taken:

Miles per hour = Total distance traveled / Time taken

Miles per hour = 330 miles / 6 hours

Miles per hour ≈ 55 miles per hour

Therefore, the bus traveled approximately 55 miles per hour.

To know more about  "traveled."  here

https://brainly.com/question/28779362

#SPJ2

Full Question

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how many miles did the bus travel per hour?

(No graph Needed)

A person swims 11 miles downstream in the same time they can swim 7 miles up stream. The speed of the current is 4 miles per hour.
These situations can be represented by the equations
Downstream: t=11/s+4 Upstream:t=7/s-4,
where t stands for time and s is the speed of the swimmer. What is the speed of the swimmer swimming in still water?

Answers

Answer:

s = 18 mph

Step-by-step explanation:

At downstream, time is; t = 11/(s+ 4)

At upstream, time is; t = 7/(s - 4)

Since they both are passed in the same time, then ;

11/(s+ 4) = 7/(s - 4)

Cross Multiply to get;

11(s - 4) = 7(s + 4)

11s - 44 = 7s + 28

11s - 7s = 44 + 28

4s = 72

s = 72/4

s = 18

Find the total surface area of the prism below​

Answers

Do not click that link

I need help please i don’t understand

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.

The Pythagorean theorem would require for some width w ...

  w^2 +24^2 = 30^2

  w^2 = 900 -576 = 324

  w = √324 = 18

A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.

__

The attachment shows that a width of 16 inches is not consistent with a right-angle corner.

_____

Additional comment

If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.

The distance between two towns is 7km on a map, the distance between the towns is 28cm. Find as a ratio, the scale of the map?

Answers

Answer:

1:4

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

28/4 = 4

1:4

Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
purchased a drink for $3.50, how much does she have left to spend on snacks?

Answers

If you add the price of the ticket and drink it comes out to 12.25, subtract from 25 and the answer is 12.75

Answer:

$12.75

Step-by-step explanation:

8.75 + 3.50 = 12.25

25 - 12.25= 12.75

Can someone help me with this PLZ

Answers

Answer:

6 and 8

Step-by-step explanation:

Answer:

6 and 8

Step-by-step explanation:

Q1: 6 and 8

Q2: 8 and 12

Q3: 12 and 15

Q4: 15 and 20

Brainlist Pls!

Callie brushes her teeth three times each day. She leaves the water running. Is it reasonable to say that she uses 2 cups of water in one day? Explain

Answers

Answer: She uses more than 2 cups of water per day.

Step-by-step explanation:

It takes 2 minutes to brush your teeth and if you times that by 3 you get 6 so she spends 6 minuntes per day brushing her teeth and water runs fast. so if your leaving the water on for 6 mintues your filling up much more than 2 cups

GIVING BRAINLIEST!!!!!!

In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2

Answers

A mistake first occurs in step 1. (24+3+10) is not equal to (8+10). It is equal to (27+10).

When Daniel left his house in the morning, his cell phone battery was partially
charged. Let B represent the charge remaining in Daniel's battery, as a percentage,
hours since Daniel left his house. The table below has select values showing the linear
relationship between t and B. Determine how much battery life Daniel's phone
would have 1.5 hours after leaving his house.
t
B
1
27.5
2.5
19.25
4
11

Answers

Answer:

24.75 percents

Step-by-step explanation:

PLEASE SHOW WORK SO I UNDERSTAND THANKS :)
-0.3 * -(11)/(30)

Answers

Answer:

0.11

Step-by-step explanation:

The answer would be 0.11, i just used a calculator lol

Last year, Maria planted a tree that is 5 11/12 feet tall. This year, the tree is 7 2/3 feet tall. How many feet did the tree grow?

Answers

Answer

Step-by-step explanation:

1 3/4

Plzzz can someone help me out???

Answers

I think its the third one, the equation one,

The equation of the line shown in the graph is y = ?.

Answers

Answer:

y=5x-5

Step-by-step explanation:

we start from -5 and go rise/run so its 5

Pls help asap giving brainliest waited for 5 hours oof

Answers

Answer:3rd answer down (top to bottom)

Step-by-step explanation: c=dπ so

c=96π

c=96*3.14=301.4

so 3rd one down is the answer!

Hope this helps!

Answer:

c

Step-by-step explanation:

because its true

What's the x plz help

Answers

Answer:

The answer for x is ten

i need help btw i am in middle school

Answers

Answer:$32.86

Step-by-step explanation:

multiply the percent (6%) by 31$ which will get you 1.86. that's the tax amount. so then you add that to $31 and get $32.86

Answer:

C. 32.86

Step-by-step explanation:

The equation to calculate how much the tax is

31 x 0.06

This equals 1.86

Now add the original price and the tax amount together.

31 + 1.86 = 32.86

Therefore, the answer is 32.86

attach a link if needed<3

Answers

Juice: Different

Burritos: Same

Soup: Same

Peanut Butter: Different

At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:

Answers

Answer:

y(t) = 4 + 1.5t

.

Step-by-step explanation:

Initial amount of snow = 4 inches

Fall rate of snow = 1.5 inch per hour

Equation to model the scenario goes thus :

Initial amount of snow + (fall rate of snow * number of hours)

Let the number of hours = h

4 inches + (1.5 inch per hour * h)

Equation, y(t) becomes ;

y(t) = 4 + 1.5t

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

[tex]4x - 25 = 75[/tex]

[tex]4x = 100[/tex]

[tex]x = 25[/tex]

can you help me i will mark if i can

Answers

Answer:

i think it is d

Step-by-step explanation:

How many centimeters are equal to 9 meters?

Answers

i think Is 9p centímetros

If the diameter of a penny is 19.05 mm on each penny is 1.52 mm thick, what is the approximate volume of the roll of the roll of pennies? Use 3.14 for pie and round your answer to the nearest tenth.

Answers

Answer:433.0mm3

Step-by-step explana

is .849 greater than .90

Answers

Answer:

NO it isnt.

Step-by-step explanation:

Go right of the decimal and throught the different place values. Since the number just right of the decimal is the highest place value, whichever number is greater, holds the greater value.

no it isn’t greater then .90

PLEASE HELP ASAP ILL GIVE BRAINLIEST


Jean makes $ 10 per hour as a sales associate at Macy's serenity earns $5 per hour plus tips at TGI Friday'srestaurant. One evening, Serenity earned $40 in tips while working between 6 pm and10 pm. Meanwhile Jean was working at Macy's at that time. Explain who earned more by presenting equations

Answers

Answer: Serenity made more money.

Step-by-step explanation: She got 40$ in tips- AND she gets 5$ per hour. Four hours went by, (6-10pm) so she gets an additional 20$ dollars, making her the one with more money because Jean made 40$.

Which method would be the most efficient way to solve the method : substitution method, Eliminating method or equal value 3x+y=1 4x+y=2

Answers

Answer:

Eliminating method

Step-by-step explanation:

For the given situation i.e.

3x + y = 1

And,

4x + y = 2

Here we use the elimination to determine the value of x and y

So,

3x + y = 1

4x + y = 2

-    -      -

-x = -1

x = 1

Now put the value of x in any of the above equation

So,

3 + y = 1

y = -2

im not sure if its too small or not

Answers

Answer:

area of ring shape =

[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]

=

[tex]36\pi - 16\pi[/tex]

=

[tex]20\pi[/tex] square inches

Can you solve the inequalities 9.50(70+x)≥1000

Answers

Answer: x_>(70+x_>)1000

Step-by-step explanation:

Answer:

35.26315789

Step-by-step explanation:

Question: 9.5(70+x)≥1000

70+x≥1000/9.5

(divide by 9.5 into both sides)

70+x≥105.2631579

x≥105.2631579-70

(minus 70 into both sides)

x≥670/19

x≥35.26315789

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