If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square

Answers

Answer 1

Answer:

            [tex]\bold{\dfrac{225}4}[/tex]

Step-by-step explanation:

[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]

So to complete the square we need to add (and subtract) the number  [tex]\frac{225}4[/tex]


Related Questions

Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS

Answers

Answer:

D. SAS

Step-by-step explanation:

Given: ΔABC

Bisecting <ABC to create point D implies that BD is a common side to  ΔABD and ΔCBD.

Also,

m<ABD = m<CBD (angle bisector)

BA = BC (given property of the isosceles triangle)

Therefore,

ΔABD ≅ ΔCBD (Side Angle Side)

The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.

Answer:

Option D is correct trust me

Step-by-step explanation:

please help me solve this​

Answers

Answer:

-1

Step-by-step explanation:

PLEASE HELP ILL UP THE POINTS AND VOTE BRAINLIEST What is the equation of a line that has an undefined slope and passes through point (3,2)?

Answers

Answer:

x=3

Step-by-step explanation:

A line with an undefined slope is a vertical line where for each and every value of  y ;  x  has the same value.

In this problem the  x  value is  3

Therefore the equation for the line is:  

x = 3

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg

Answers

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

[tex]V\propto \dfrac{1}{P}[/tex]

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters

Which expression is equivalent to 5 (h + 9)?

Answers

Answer:

5(m+9) = 5m+25

Answer:

5(m+9) = 5m+25

Step-by-step explanation:

durrrrrrrrrrrrrrr

Can someone please Help me. ( picture included)

Answers

Answer:

The height of the flagpole is 20 feet.

Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?

Answers

Answer:

125,000

Step-by-step explanation:

Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?

Answers

Wat fraction post a pic of the problem

A girl’s club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl’s club?
The percent change is 0.38%.
The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.

Answers

Answer: option D

Step-by-step explanation:

Answer:

D.) The percent change is 60%

Step-by-step explanation:

I know this because 960-600= 360

360÷600= .6

.6= .60

.60= 60%

Hope this helped!!! :)

(1,9)
Write the interval as an inequality.

Answers

Answer:

1<x<9

Step-by-step explanation:

The parenthesis means that the inequality symbols are simply less than rather than less than or equal to. From there on, you just plug in the values on either side of x and you have your inequality.

pls help again (picture below)

Answers

Answer:

C 10 to the power of 7 equals 10,000,000 and x 3.45 = 3450000000

Step-by-step explanation:

Idk how to fill this in .

Answers

Answer:

3, 3, 6,9,12 if that's wrong try 3, 3, 6, 12, 36, 144

Step-by-step explanation:

you just multiply the numbers together to get your answer

Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m

Answers

Answer:

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Step-by-step explanation:

Given;

total number of Mr Moretti's students = 18

number of mechanical pencils for each student = m

total number of mechanical pencils for all the students = 18m

number of regular pencils for each student = 2m

total number of regular pencils for all the students = 18(2m)

The total number of pencils given to all the 18 students by  Mr Moretti is given by;

T = Total mechanical pencils + total regular pencil

T = 18m + 18(2m)

T = 18(m + 2m)

T = 18(3m)

T = 54m

Therefore, based on the expressions above, the correct options include;

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Answer:

18(m+2m)

 18m+18(2m)

54m

Step-by-step explanation:

I took the quiz.

What is the domain for a continuous function

Answers

Answer: the third one

Step-by-step explanation: C

C. All real Values of x except x=_3
Hope this helps :)

A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 more people. How does the number of people on the bus after the second stop compare to the numbers of the people on the bus before the 2:30 stop ?

Answers

Answer:

The actual number of passengers on the bus falling by 8 after the second stop

Step-by-step explanation:

Assume that the total passengers on the bus before 2:30 was x

At 2:30:

11 passengers got off and 8 got on.

So, the number of passengers

= x - 11 + 8

= x - 3

10 minutes later:

5 passengers got off the bus

So, the number of passengers

number of passengers = (x - 3) - 5

number of passengers = x - 8

now by comparing,

The actual number of passengers on the bus falling by 8 after the second stop

Перечислите все целые числа, расположенные между числами –6,6 и –1,2.


Answers

Answer:

-6, -5, -4,-3,-2

Step-by-step explanation:

Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:

-6,-5,-4,-3,-2

What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8​

Answers

Answer:

It is NOT c

Step-by-step explanation:

I clicked c and it was wrong lol.

Answer:

its D

Hope this helps ⊂◉‿◉つ


Please can anyone help me

Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5

Answers

Answer:

17 (I think)

Step-by-step explanation:

substitue -3 in for x so 4(-3) + y = 5

-12+ y =5

+12        +12

y=17

A model of a rectangular patio and is a landscaping business will be enlarged by a scale factor of 2 when is installed in the customers backyard. The area of the new and larger I know they want to see square feet which is the area of the landscapers model

Answers

Answer:

The answer is "40 square feet".

Step-by-step explanation:

The formula of the area:

[tex]\bold{A = (2L \times 2W)}\\\\[/tex]

    [tex]= 4LW \\\\[/tex]

if:

[tex]\to 4A = 160 \\\\[/tex]

         [tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]

Help plz if someone could answer this problems soon as possible that would be great. It is a geometrical proof Given: angle 1 and angle 2 are complementary angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4 prove: angle 2 and 3 are complementary

Answers

Answer:

<2 + <3 = [tex]90^{o}[/tex]

Thus, angles 2 and 3 are complementary.

Step-by-step explanation:

Complementary angles are two or more angles that their sum equals [tex]90^{o}[/tex]. Given that: i.  <1 and <2 are complementary

                  ii. <1 ≅ <3

                  iii. <2 ≅ <4

Prove that: <2 and <3 are complementary

Proof:

<1 + <2 = [tex]90^{o}[/tex] (complementary angles)

<1 ≅ <3 (congruent property)

<2 ≅ <4 (congruent property)

⇒ <3 + <4 = [tex]90^{o}[/tex] (complementary angles by congruent property)

Since <1 ≅ <3,

∴ <2 + <3 = [tex]90^{o}[/tex]

Thus, angles 2 and 3 are complementary

Find the unit rate. 13.00 for 2 books?

Answers

Answer:

= 6.5 dollars per book

Step-by-step explanation:

This is a fraction equal to

13 dollars ÷ 2 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.

Answer:

6.5 per book

divide 13 by 2

Step-by-step explanation:

For an avian research study, scientists wanted to estimate the local robin population. The scientists captured, tagged, and released 55 robins. A week later, they noted 30 tagged robins out of the 300 robins they counted. To the nearest whole number, what is the best estimate for the robin population?

Answers

Answer: The estimated number of robins in the population is 550

Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:

1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;

2) After a period of time, catch another group and count the ones who have the mark;

3) Estimate the population using:

[tex]N=\frac{M*C}{R}[/tex]

where

N is the estimate of individuals in the population

M number of individuals marked

C is the total number of individuals captured the second time

R is the number of individuals with the mark recaptured

For the population of robins:

[tex]N=\frac{55*300}{30}[/tex]

[tex]N=\frac{16500}{30}[/tex]

N = 550

The best estimate for the robin population is 550.

*Eight is added to three times a number 'x' gives 15".​

Answers

Answer:

x+8 =15

x=15-8

x=7 .

this is the answer

Answer:

3x + 8 = 15

(If you wanted to solve it then:) x = 7/3

Step-by-step explanation:

Let's convert that into an equation.

Let "x" be the number.

3x + 8 = 15

If the question was to answer it, look below:

3x + 8 = 15

3x = 7

x = 7/3

Hope this helped! If not, please let me know! <3

can someone please answer these 2

Answers

Answer:

the second one is C

Step-by-step explanation:

What operation is happening in an additive pattern??

Multiplication
Subtraction
Addition
Division ​

Answers

Addition



Reason: because

if the weight of an object is 900 newton what is its mass. plz tell answer fast I will mark you as the brainlest.​

Answers

Answer:

≈ 92 kg

Step-by-step explanation:

Hi there !

w = m×g => m = w/g

g = 9.8m/s² = 9.8m·s⁻²

w = 900N = 900kg⋅m⋅s⁻²

m = 900kg⋅m⋅s⁻²/9.8m·

= 91.83 kg

≈ 92 kg

Good luck !

who ever answers i will give brainliest :>​

Answers

Answer: a) 4 b) -3 c) 2

Step-by-step explanation:

a) m = (6 - 2)/(1 - 0) = 4

b) (0, 3), (1, 0)

m = (0 - 3)/(1 - 0) = -3

c) (1, 3), (2, 5)

m = (5 - 3)/(2 - 1) = 2

please help me!! :)​

Answers

Answer:

1/2

Step-by-step explanation:

hope this helps :o

Roses are sold for 1.50 each or 4 for $6.00 on a graph of roses vs the total price of the roses what would be the slope

Answers

Answer:

no

Step-by-step explanation:

unu

Step-by-step explanation:

do you have the answer now I need it please

Help me solve this problem please

Answers

Answer:

-8

Step-by-step explanation:

[tex] \frac{8 - 2x}{12} = 2[/tex]

[tex]8 - 2x = 24[/tex]

[tex] - 2x = 16[/tex]

[tex]x = - 8[/tex]

8- 2x/12 = 2

Multiply both sides by 12:

8 - 2x = 24

Subtract 8 from both sides:

-2x = 16

Divide both sides by -2:

X = -8

Other Questions
if 1 bag of popcorn would fill 2 paper bags, and i have 24 bags of popcorn, how many paper bags do i have? ( please help!! urgent aahhh ) Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method. justin walk 5 kilometer and he turn right and he swim 35 meters why the apple is red? Which event comes about as a result of this declaration What does muscles do for the body Under the caste system,all people in India:A:were equal under the law B:had a chance becoming rich C:had served in the mi military D:were stuck in certain social classes 7. Robert poys for his family to go bowling. He pays an initial feeto rent shoes for everyone and then pays a certain amountper game that his family plays as shown in the graphHow much did Robert pay to rent shoes foreveryoneTotal CostWhat was the cost per game at thebowling alley?c. Write an equation to represent the situationNumber of Gomes You want a seat on the board of directors of Red Cow, Inc. The company has 260,000 shares of stock outstanding and the stock sells for $51 per share. There are currently 5 seats up for election. The company uses straight voting. How much will it cost you to guarantee that you will be elected to the board How did Sir Robert Borden "rig" the election of 1918? Which advanced technology did Europeans not use to travel west to get across the oceans Do you think American society has properly balanced its pursuit ofkey economic goals-efficiency, freedom, security, equity,growth? Explain. Which colony was the first to fall to the british? Write a summary of what takesplace in this excerpt of text. Comment if you dressing up for Halloween Which maintains the tone established in these three sentences?Few people or animals were awake at this hour. It was Peter's favorite time of day. He moved quietly down a path, noticing the sunpeeking through the branches overhead and the soft, moist ground underfoot.es )A)Peter shook his head in disgust when he discovered piles of trash on thetrailB)Peter tried to remain calm when he heard a frightening shriek behind somebushes.Peter yawned with boredom and wondered how anyone could like beingoutside so much.D)He and his thoughts continued to wander as he smiled and breathed in thefragrant morning air. Select the correct answer.Which food should a person who is lactose intolerant avold?O A.milkOB.eggsO C.peanutsOD.soy y= -2x - 45. solve for x if y = -10 Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money? informational facts about airplanes 55 > 5x + 5 > -25pls help