If using the method of completing the square to solve the quadratic
equation x2 + 20x – 6 = 0, which number would have to be
added to "complete the square"?

Answers

Answer 1

Answer:

100

Step-by-step explanation:

20/2= 10 and 10 squared is 100 but you have to move the -6 to the opposite side

Answer 2

The number required to add to the equation x² + 20x - 6 is 106

What is an 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.

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 data ,

Let the equation be A =  x² + 20x - 6 = 0

Now , to make the equation as a perfect square,

The number to be added to the equation is 106

Adding 106 to the equation , we get

A =  x² + 20x - 6 + 106

On simplifying the equation , we get

A =  x² + 20x +100

Now , the equation can be factorized as

A = ( x + 10 )²

A = 0

( x + 10 )² = 0

x = -10

Hence , The number required to add to the equation x² + 20x - 6 is 106 to make it a perfect square

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Related Questions

How could an Environmental Science and Protection Technician and an Environmental Engineering Technician be compared?

The careers are basically the same because both focus on protecting the environment.

Both focus on protecting the environment, but an Environmental Science and Protection Technician uses equipment to reduce the impact of issues while an Environmental Engineering Technician performs tests to identify issues.

Both focus on protecting the environment, but an Environmental Science and Protection Technician performs tests to identify issues while an Environmental Engineering Technician uses equipment to reduce the impact of issues.

The careers are different and belong to different career pathways within Manufacturing.

Answers

Answer:

the third one is correct. based on recent studies that i have read based on this topic. it should be right.

brainliest?

Step-by-step explanation:

3

Step-by-step explanation

edg

A meteorologist in Seattle says there is a 75% chance of rain. A meteorologist in Tacoma says there is a 1/4 chance of rain. In which city is it more likely to rain?

A. Seattle
B. Tacoma
C. Batesville
D. Both have the same chance

Answers

Answer: A. Seattle

Steps:
1/4 = 25%

Which is more 25% or 75%?
The answer is 75%
Assuming both predictions are correct, converting the number forms into the same form, we can see that it is equally likely to rain in either city.
Explanation:
Firstly, we're going to assume that both predictions are correct, because, well, they're just predictions. Let's write them down:
Seattle Rain Chance
=
75
%

Tacoma Rain Chance
=
3
4

Now, we can see that both predictions are in different forms: one in the form of percentage, and the other in the form of a fraction. To compare, we could convert one of them... Let's convert the fraction into a percentage. But, how?
Well, what "percent" means is "per hundred". We could multiply the number by
1
, which shouldn't change anything...
... but then convert it to
100
100
(because they both divide out into
1
)...
... and finally, by definition, to
100
%
:
1
=
100
100
=
100
%

Tacoma Rain Chance
=
Tacoma Rain Chance

1
Tacoma Rain Chance

1
=
Tacoma Rain Chance

100
%
Let's evaluate it:
Tacoma Rain Chance
=
3
4

100
%
=
300
4
%
=
75
%
Now let's compare it to the Seattle rain chance:
Seattle Rain Chance
=
75
%

Whew, they're equal!
Seattle Rain Chance
=
Tacoma Rain Chance
Therefore, with the assumption that both predictions are correct, it is equally likely to rain in either city.

A line that includes the point (2,7) has a slope of

8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

y - 7 = -8(x-2)

Step-by-step explanation:

The point slope form is: y-y1=m(x-x1)

From the information that was given, we know our two points: (2,7)

From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)

Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.

The answer would either be: y - 7 = -8(x-2)    [if you wrote down -8 as the slope]

OR

The answer would be: y - 7 = 8(x-2)    [if you wrote down 8 as the slope]

HELP FAST I'LL MARK YOU BRAINLIEST
Which below is not always true about a Rhombus?
1. All side are equal
2. Opposite sides are equal and congruent
3. Consecutive angles are supplementary
4. Diagonals are congruent

Answers

Answer:

4

Step-by-step explanation:

In a rhombus, the diagonals are congruent. It is not always true. If the diagonals become congruent then It becomes square. Hope this helps!

Answer:

4) Diagonals are congruent is NOT always true

Step-by-step explanation:

Diagonals are  only congruent if it's square, so this one is not always true.

PLS HELP ASAP!!!

You and your family went out to dinner for your birthday. The cost of the meal was $75. You left and 18% tip, and the tax was 7.7%. What was the total cost of your dinner?

Answers

Answer:

$ 94.28

Step-by-step explanation:

75 x 1.18 = 88.50

75 x .077 = 5.78

88.50+5.78= 94.28

What is the length of AD??

Answers

Answer:

d

Step-by-step explanation:

hiiiiiiii

it’s going to be D for the answer of itttt

HELP ME PLEASE MUCH APPRECIATED!!

Answers

I’m not to sure but I think it’s B so sorry if I’m wrong!

Answer:

the answer is A

Step-by-step explanation:

Find x.
A.2.14

B.10

C.22.8

D.35

Answers

A is your answer just multiply it by 14 then add it by 5 it looks as if all sides are equal.

An investor puts $4500 into a life insurance policy that pays 6% simple annual interest if no additional investment is made into the policy how much accumulated interest should the investor expect at the end of 15 years?

Answers

Answer:

270

Step-by-step explanation:

All you need to do is find what 6%  of 4,500 is.

Your answer is 270
Hope this helped :)
Brainliest plzz

The average age of the seven apprentice magicians is 143 years. The average age of the seven apprentice magicians and the head wizard is 150 years. How old is the head wizard in years? Please need answer ASAP!!!!!!!!

Answers

assume each of the original three magicians is 143 years old
143 x 3 = 429
150 x 4 = 600
this means that the ages of the original three (429) plus the age of the head magician is 600
600 - 429 = 171

Answer:

it would be 200 points. Lets assume that all of the apprentice magicians are 143 years old. If so, then 143 x 7 = 1001. 1001 + 200 = 1201. 1021 ÷ 8 (the number of magicians) the answer is 150. so the age of head wizard is actually 200 years.

A circle has a center of (5, 2) and a radius of 10. Which the fallowing points will the circle pass through ?

Answers

Answer:

centre of the circle(h,k)=(5,2)

radius(r)=10

Step-by-step explanation:

Now,

equation of the circle is giveb by (x-h)^2+(y-k)^2=r^2

or,(x-5)^2+(y-2)^2=(10)^2

or,x^2-10x+25+y^2-4y+4=100

or,x^2+y^2-10x-4y+29-100=0

or,x^2+y^2-10x-4y-71=0

7th grade math help me pleaseee

Answers

Part A.        n+6=15>>>n=9

Part B.n+6=15 >>> n+6-6=15-6

n=9

A survey of 100 high school students provided this
frequency table on how students get to school:
Drive to Take the
Grade
Walk
School bus
Sophomore 2
25
3
Junior
13
20
2
25
5
5
Senior
What is the probability that a randomly selected student
is a junior who takes the bus?
?
P(Junior' n Take the bus)

Answers

Answer:

The answer is 1/5

Step-by-step explanation:

Trust me.

The probability that a randomly selected student is a junior who takes the bus is  [tex]\frac{1}{5}[/tex] .

What is probability?

Probability or chance is how likely something is to happen. If something has a low probability, it is unlikely to happen. If something has a high probability, it is likely to happen.

[tex]probability=\frac{number\ of\ favourable\ cases }{total\ number\ of cases}[/tex]

Given,

Total number of students = 100

Number of students who are juniors and take bus = 20

[tex]probability=\frac{number\ of\ favourable\ cases }{total\ number\ of cases}[/tex]

Probability of junior students who take bus =  [tex]\frac{20}{100}[/tex]

Probability of junior students who take bus =  [tex]\frac{1}{5}[/tex]

Hence, The probability that a randomly selected student is a junior who takes the bus is  [tex]\frac{1}{5}[/tex] .

Learn more about Probability:

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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
ALSO 50 POINTS!

Answers

Answer:

h = 12 m

[tex] v_{cylinder}= 235.5 \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of cylinder (r) = 5/2 = 2.5 m

[tex] {h}^{2} = {13}^{2} - {5}^{2} \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25} \\ h = \sqrt{144} \\ h = 12 \\ \\ v_{cylinder} = \pi {r}^{2} h \\ v_{cylinder}= 3.14(2.5) ^{2} (12) \\ v_{cylinder}= 235.5 \: {m}^{3} [/tex]

mallory and five of her friends bought a box of 36 cookies. together they ate 2/3 of the cookies

Answers

Answer:

24 cookies got eaten 12 weren't eaten

Step-by-step explanation:

36 divided by 3 = 12

12 x 2 = 24 ( since they ate 2/3)

36-24=12 (12 weren't eaten)

jeremy bought 5 pencils for w dollars. each pen cost 35¢ more than a pencil

Answers

248 I think sorry I don’t know really

We have to fill the chart but i already did that i just need help with the questions

(B) find the mean of the data set

(C) Find the median

(D) find the mode of trje data set

(E) find the range of the data set

Answers

C hope that helped have a good one love the game

8r= -64
what does the 8r stand for?

Answers

Answer:

r=8

Step-by-step explanation:

The number we are looking for is represented by 'r' which is multiplied by 8

Literal Equations:

Solve the equation for the indicated variable.

a−c=d−r, for c

Group of answer choices

c=−d+r+a


c=d−r/a


−c=d−r−a


c=d−r+a

Answers

Answer:

−c=d−r−a

Step-by-step explanation:

if we move a value to the other side of the equal sign, the value switches positive and negative signs, in this case A moved to the right, which caused it to turn negative.

Faithi has $ 1.10 in his printing account. Each sheet of paper he use reduces his printing account balance by $0.25. Fathi wants to print out a pdf document that is 47 page long. To save paper, he decide to print on both side of each sheet and to print two pages on each side of the sheet

Answers

Answer:

-$1.9

Step-by-step explanation:

Imagine the center of the Seattle Great Wheel is located at (0, 0) on a coordinate grid and the radius lies on the x-axis. Write an equation of a circle for the Seattle Great Wheel and then sketch an image of your equation on the graph provided or insert your own graph.
Center is 0,0 and diameter is 175

Answers

Answer:(x-0)^2 + (y-0)^2=30^2

Step-by-step explanation:

The equation of the circle is x^2 +y^2 = 7656.25

How to determine the equation of the circle?

The given parameters are:

Center = (0,0)

Diameter = 175

The equation of a circle is represented as:

(x - a)^2 +(y - b)^2 = r^2

Where

Center = (a,b) = (0,0)

r = radius = 175/2

So, we have:

(x - 0)^2 +(y - 0)^2 = (175/2)^2

Evaluate

x^2 +y^2 = 7656.25

Hence, the equation of the circle is x^2 +y^2 = 7656.25

Read more about circle equations at:

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Answers

Answer:

[tex]D.\ (3,\frac{1}{8})[/tex]

Step-by-step explanation:

Given

[tex]y = (\frac{1}{2})^x[/tex]

Required

Points that lies on the above graph

From the given options, only option D lies on the point and the proof is as follows:

[tex]D.\ (3,\frac{1}{8})[/tex]

This means that:

[tex]x = 3;\ y = \frac{1}{8}[/tex]

Substitute [tex]x = 3;\ y = \frac{1}{8}[/tex] in [tex]y = (\frac{1}{2})^x[/tex]

[tex]\frac{1}{8} = (\frac{1}{2})^3[/tex]

[tex]\frac{1}{8} = \frac{1^3}{2^3}[/tex]

[tex]\frac{1}{8} = \frac{1}{8}[/tex]

See that the values at the right and left hand side of the equation are the same.

This means that, [tex]D.\ (3,\frac{1}{8})[/tex] lies on [tex]y = (\frac{1}{2})^x[/tex]

hi anyone? please help!!

Answers

Answer:

8x<80

Step-by-step explanation:

The teams are teams of 8, so 8x is how many people on a team (8) times total number of teams (x). You want it to be less than 80, because, as it said, fewer than 80 people signed up.

Solve the following quadratic equation for all values of x in simplest form.
5x(x^2-4)+10=10
first person to answer right get branliest
people in com.ments who right get a tha.nks and fo.llow

Answers

Answer:

[tex]x=0,\:x=-2,\:x=2[/tex]

Step-by-step explanation:

Do you want me to explain it?

if it has work to show, please include it. please help

Answers

Answer:

B) 256

Step-by-step explanation:

You are doubling the amount of boxes there are each time:

Pattern 1: 1 box

Pattern 2: 2 boxes

Pattern 3: 4 boxes

Pattern 4: 8 boxes

Pattern 5: 16 boxes

Pattern 6: 32 boxes

Pattern 7: 64 boxes.

Each box takes 4 matches to create. There are 64 boxes in total by the 7th pattern. Multiply 4 with 64:

64 x 4 = 256

B) 256 matches is your answer.

~

Couple of answers if that's ok.

Which of the following percentages is equal.

Wich of the following percentages is equal to 1/4.

Which of the following percentages is equal to 5/21? Round your answer to one decimal place.

PLS ANSWER​

Answers

It’s a virus don’t believe it

what is the sum of the arithmetic sequence 8,15,22..., if there are 26 terms?

o 2,483
o 2,485
o 3,486
o 3,489

Answers

Answer:

2,483

Step-by-step explanation:

8+15+22+29+36+43+50+57+64+71+78+85+92+99+106+113+120+127+134+141+148+155+162+169+176+183=2483

Answer:2483

Step-by-step explanation:

took the test

please help me with the question​

Answers

2/3x -1/5 > 1
+1/5 > 1 + 1/5 add 1/5 to the both sides
2/3x > 6/5
(3/2) * (2/3x) > (3/2)*(6/5) multiply both sides by 3/2
X > 9/5

solve for x
1/4 x^3 = -27/4​

Answers

do u still need the answer or no cuz its kinda long

a recipe for bread uses 2 cups of liquid and 6 cups of flour for 3 loaves of bread. how many cups of flour are needed for 10 loaves and how much liquid is needed if 21 cups of flour are used?

Answers

10

Step-by-step explanation:

I just did this in a lesson

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