Mathematics High School

If using the method of completing the square to solve the quadratic equation x^2-3x+20=0x 2 −3x+20=0, which number would have to be added to "complete the square"?

Answers

Answer 1

Answer:

The polynomial must be added by 2.25 on each side of the equation.

Step-by-step explanation:

Let [tex]x^{2}-3\cdot x +20 = 0[/tex], we need to add each side by 2.25 to complete the square, that is, expanding the polynomial so that factor of a perfect square trinomial can be done:

1) [tex]x^{2}-3\cdot x +20 = 0[/tex] Given

2) [tex](x^{2}-3\cdot x +20) +2.25 = 2.25 + 0[/tex] Compatibility with addition/Commutative property

3) [tex](x^{2}-3\cdot x +2.25) +20 = 2.25[/tex] Commutative, associative and modulative properties.

4) [tex](x-1.5)^{2} +20 = 2.25[/tex] Perfect square trinomial/Result

Answer 2

Answer:

(x−21​)^2=81/4

Related Questions

i'm really stuck on this part. once i figure out how i'll mark brainliest (however you spell it).

Answers

just the first one 11 ........

What is the length of the legs of the triangle if the hypotenuse of an isosceles right triangle is (sqrt)23 feet?
4 feet
8 feet
16 feet
16.2 feet

Answers

I believe 8 not for sure

On Wednesday It reined 2 1/2 inches this was of on inch more than how much it rained the week before. What was the rainfall amount the week before ?

Answers

2.5-1.0=1.5
so 1.5 inches the week before

HELP PLZ I'LL MARK BRAINLIEST!

Answers

Answer:

138.23

Step-by-step explanation:

the Question is on the image

Answers

Probably is 64% I just think it’s is but I’m not sure

Right answer will be marked brainlist .

Answers

Answer:

$1159.69

Step-by-step explanation:

A = P (1 + r/n)^nt

A = 1000 (1 + 0.05/2)^2(3)

A = $1159.69

Crystal reads 25 pages in 1 hour. Write an equation to represent the 2
relationship between the number of pages Crystal reads and how much time she spends reading. Let p = number of pages and t = number of hours.

Answers

Answer:

she read 25 pages in 60 minutes

Step-by-step explanation:

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!!!!!

Answers

Answer:

3 times greater

Step-by-step explanation:

6.7 x 10 to the 6 = 6700000

2x 10 to the 7 = 20000000

20000000/6700000 = 2.98507462687

Rounded - 3

Solve using elimination. 9x − 9y = –18 10x − 9y = –13

Answers

Answer:

y = 5, y = 7

Step-by-step explanation:

Help I have no idea what the answers are

Answers

Answer:

Hi Bunni  ,  :D

Step-by-step explanation:

a =2

b= -8

c = 9

axis of symmetry  is

-(-8) / 2(2)

8 / 4

2

vertex = ( 2, 1)  

:)

Verify the equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)

Answers

Answer:

True.

Step-by-step explanation:

given equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)

1. manipulate the right side by using trigonometric identities

(tan(x) - 1)/(tan(x) + 1) = (-cos(x) + sin(x))/(cos(x) + sin(x))

2. manipulate the right side by using trigonometric identities

(-cos(x) + sin(x))/(cos(x) + sin(x)) = (-cos(x) + sin(x))/(cos(x) + sin(x))

Both sides of the equation are now equal -> (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x) is true.

PLEASE HELP!!!! 69 points my guy!!!

Answers

Answer:

D. f(q) = 2q + 3

Step-by-step explanation:

Given equation:

6q = 3s - 9

q is independent variable, we need to solve it for s:

6q = 3s - 93s = 6q + 9s = 2q + 3

Correct choice is

D. f(q) = 2q + 3

Someone help me please need ASAP​

Answers

Answer:

x = 1/2

Step-by-step explanation:

all of its sides are equal;

4x - 6 = 2x - 5

2x = 1 , x  = 1/2

Find the area of the larger sector.
Round to the nearest tenth.
2559
13.4 miles
Area = [ ? ]miles2
Enter

Answers

Step-by-step explanation:

the formula for the area of a sector is

(x°(r^2)π)/360

with x being the angle

r bring the radius of the circle

(255(13.4)^2π)/360

399.6

Hope that helps :)

Answer:

The answer is 399.6 not 399.4. I put 399.6 as my answer on acellus and I got it right.

A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.

Answers

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    



[tex](2 \div 2 \sqrt{2) ^{2} } [/tex]
what is the answer ​

Answers

Hopes this helps:

Answer: 2

Mr. Smith's class took a test! The scores of one group are listed below.

70, 60, 80, 85, 90

What is the mean absolute deviation of the data set?

Answers

Answer:

B

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

add them all together and then divide by 5

HELP MATH ASAP! I GIVE BRAINLIEST

Answers

The answer would be 0.

QUESTION 1
1.1 Find the sum:
1.1.1 2+6+(-7) + 10 =
1.1.2 (-49) + (15) + (-10) =​

Answers

Answer:

1.is 11

2. is-44

Step-by-step explanation:

1) 2+6-7+10

= 11

2) -49+15-10

= -44

Find a1 for the arithmetic sequence's 21st term is 400 is 400 and it's common difference is 5​

Answers

Answer:

8,395

Step-by-step explanation:

21 x 400 = 8,400

is = x

8, 400 - 5 = 8,395

difference = -

Brainlist Pls!

What’s the answer???

Answers

Answer:

Question 7 = $2

Question 8 = $16

Question 7
7 - 1 = 6
6/3 = 2
The answer is $2

Question 8
12 - 4 = 8
The answer is $8

PLEASE HELP!!!!!! I WILL MARK!!!

Answers

the answer to this is 36.7

Please help if you would want brianleist!! :D ^^

Answers

Answer:

384

Step-by-step explanation:

v= L x W x H

v= 4 x 2 x 1.2

v= 9.6

9.6 x 40 = 384

lmk if you have any questions  :)

Answer:

A

Step-By-Step Explanation:

Step One: The first step is to figure out the volume of one. The volume formula is length times width times height. We have all the dimensions so: 4 times 2 times 1.2= 9.6.

Step Two: Now, we just mutiply the number by 40 since there are 40 slabs: 384.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

First use the distributive property by multiplying the 3 with each term inside the parentheses:

-8 + 3c + 3 + c

Now combine like terms:

-8 + 3 = -5

3c + c = 4c

Combine for final answer:

-5 + 4c which can also be written as 4c-5

Answer:

first let's multiply 3 by the bracket

-8+3*c+3*1+c=-8+3c+3+c

then add the numbers that have the same variables -8+3+3c+c

=-8+3+4c then add the numbers

=-5+4c is the answer

you can also write it like this

4c-5

Which expression is equivalent to (8x + 14) + (9x - 5)? + A. 22x - 4 B. 31x - 5 C. 17x + 19 D. 17x + 9​

Answers

Answer: D

Step-by-step explanation: =8x+14+9x+−5

=(8x+9x)+(14+−5)

=17x+9

can I get a solution
[tex] \sqrt{x - 1} - 3 = 0[/tex]
is this solution correct or not can you please give me the following steps for this solution by solving for x if possible ​

Answers

Answer:

I don't think it is correct.

Step-by-step explanation:

Square root just means half of a number. If you square this number, it just goes back to it's original form, just without the square root sign. But however, You must square the 10 at the end of the equation as well. This solution is not correct.

Can someone plz help me with these United rates and explain step by step ?

Answers

It would be 45 pages because of it is 6 pages per 2 hours then it is the same as 3 pages per 1 hour then multiply 3 by 15 hours then u get 45 pages. Also don’t click on that link by the other answer provider it’s a virus.

number 5 please help me​

Answers

Answer:

I think C or D

Step-by-step explanation:

I’ll mark you brainlieist

Answers

1. Divide by 4
x < 5

2. Subtract 4
x < 21

3. Add 8
x > 40

4. divide by -4( flip inequality sign b/c dividing by negative) so > turns into >
x < -6

The rest using the same concept. Try them yourself and ask for help if you need it

What is the length of the diameter?

Answers

is there any instructions above the circle?

2x the radius, the radius is half the length circle so multiplying it by 2 gets you the full length
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