How do I complete a square

Eg solve the equation x(squared) + 4x - 7 = 0
By completing the square

Answers

Answer 1

Step-by-step explanation:

[tex]{x}^{2} + 4x - 7 = 0[/tex]

Take -7 to the other side making it +7

Half the coefficient of x and square it

[tex] \frac{1}{2} \times 4 = 2[/tex]

Square the answer

[tex]{2}^{2} = 4[/tex]

Join your answers

[

[tex](x + 2) - 4 = 7[/tex]

Take -4 to the other side making it +4

[tex](x + 2) = 7 + 4 \\

(x + 2) = 11

[/tex]

Square root both sides

[tex] \sqrt{x + 2}= \sqrt{11} [/tex]

[tex]x + 2 = \sqrt{11} [/tex]

Take +2 to the other side

[tex]x = - 2 \ + or - \sqrt{11} [/tex]

[tex]x = - 2 + \sqrt{11} [/tex]

or

[tex]x = - 2 - \sqrt{11} [/tex]

This can be your answering surd form if required or in decimals


Related Questions

Bella pushes a box to her right. In which direction does the box need to move for Bella to have done work n on it

Answers

Answer:

left

Step-by-step explanation:

if she pushes it right then she would have to push it left back to her to work on it

It needs to move to the left

What are the coefficients of -4x - 7y + 21z?

Answers

Answer:

-4

-7

21

Step-by-step explanation:

a coefficient is the number before the variable

Answer:

-4, -7, 21

Step-by-step explanation:

Coefficients are a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x)

So in this problem -4, -7 and 21 are the coefficients

This is a triangle which has one 90-degree angle.

Answers

Answer:

the third one

Step-by-step explanation:

Answer:

icoseles

Step-by-step explanation:

WILL MARK BRAINLIEST:
A pool has a platform in the middle that is "a" units from the pool in all directions. If the area of the pool is 6a²+16a+10, find the area of the platform.

Answers

a = -5/2 = -2.500

a = 2/3 = 0.667

Theres 2 solutions. but hope i helped:)

Answer:52a+10 or 62aor62

Step-by-step explanation:

A​ 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability of rolling a number greater than 1.

Answers

Answer:

11/12

Step-by-step explanation:

Greater than 1: 2,3.... 12

P(greater than 1) = 11/12

Answer:

11/12 or 0.91666 or 91.6%

Step-by-step explanation:

Any number above one makes up 11 out of the 12 options.

Elsa went to a baseball game. The game started at 9:42 AM, and it was 3 hours 37 minutes long. When did the game end?

Answers

Answer:

1 : 19 PM

Step-by-step explanation:

9 + 3 = 12

42 + 37 + 79

12:00 + 1 hour and 19 minutes

1 : 19 pm

HELP ILL GIVE MOST BRAINLY AND 20 POINTS

Answers

Answer:

Your answer is correct. (x-4)^2 = 3

Step-by-step explanation:

x^2 - 8x + 13 (is not a perfect square so you need to move the 13 to the right by subtraction)

x^2 - 8x + ____ = -13 (In order to get A, divide the second coefficient by 2. That would be -4 in this case. Now we need to square A to find the constant. That would be 16)

(x^2 - 8x + 16) = -13 + 16 (Whatever we do on the left we add on the right, -13+16 = 3)

(x-4)^2 = 3

Which would be the best sample for
determining the favorite sport of students
at Harrison Middle School?
A. ten students at a movie theater
B. every tenth student entering the
school in the morning
C. five students from each of the
school’s sports teams
D. the first ten students in the cafeteria
at lunchtime

Answers

B because it’s a random sample and it’s not biased

Answer:

It would either be B or C. More than likely it would be B.

Step-by-step explanation:

Please help solve this

Answers

first u have to get the denominators to equal each other so multiple each fraction so the denometer is 40. the. subtract left to right and the denometer doesn’t change

What is the difference between "Probability" and "Statitistics"?​

Answers

Answer: Probability deals with predicting future events but statistics involves an analysis of the frequency of past events

Step-by-step explanation:

Which expressions are equivalent to t = 2( -h - 3)
A t = - 6 - 2h
B t = 4h -6h - 6
C t = - 2h - (-6)
D t = - (6 + 4h)

Answers

B t = 4h -6h - 6 should be it

In the triangle below, what is the length of the side opposite the 60° angle?
A. 3 sq root of 3
B. 3
C. Square root of 3
D. 6

Answers

Answer: B

Step-by-step explanation:

(opp/hyp)=sin60

opp=2sqr(3)x(sqr(3)/2)

opp=3

Find the square root(s) (I need a step by step answer)

Answers

Answer:

[tex]\frac{1}{\\3}[/tex]

Step-by-step explanation:

±[tex]\sqrt{ \frac{1}{9}[/tex]  = ± [tex]\frac{\sqrt{1}}{\sqrt{9}}[/tex]  = ± [tex]\frac{1}{3}[/tex]

there is a ± sign as both positive and negative numbers squared are positive, so the answer could be either

What is the value of n in the equation below?

StartFraction 12 Superscript n Over 12 Superscript 5 EndFraction = 12 Superscript 4
Negative 20
Negative 9
9
20

Answers

Answer: I am pretty sure that the correct answer is 9.

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

got it right on edge 2021

The equation 3 – 1∕2x = –1∕2x + 3 has what type of solution set?

Question 5 options:

A)
No solutions

B)
One solution

C)
Infinitely many solutions

D)
Two solutions

Answers

Answer:

A

Step-by-step explanation:

this is because the Values are the same and x is not a known value

Answer: one solution

Step-by-step explanation:  {y,x} = {-4,-2}

Just trying to help because he put the wrong answer lol

Please answer correctly, will mark brainliest answer !!!

Answers

Final answer:

The student's request doesn't provide a specific academic question to be answered but seeks assistance on how to cater and format a potential answer.

Explanation:

No actual question has been provided; the student request outlines the type of assistance they need rather than posing a specific question related to a particular subject area.

Learn more about Tutoring Guidelines here:

https://brainly.com/question/28233194

#SPJ1

Quadratic fort
Solve.
-6 + 3x – 9x2 = -16
Choose 1 answer:

Answers

2/3 there you go I Calculated it

Martin's class needs to raise $1,250 for a river rafting trip. To find how much money each of class members must raise, Martin divides 1,250 by 25. His steps are shown 1.250 25 Step 1: (1,000 + 200 +50) = 25 Step 2: (1,000 - 25) + (200 - 25) + (50 25) Step 3: 400 + 8 + 2 Step 4: 482 In which step did Martin make his first mistake! F Step 1 G Step 2 H Step 3 J Step 4

Answers

Answer:

F) Step 1

Step-by-step explanation:

1,000+200+50=1,250, not 25

Final answer:

Martin made his first mistake in Step 2.

Explanation:

Martin made his first mistake in Step 2.

In Step 2, Martin subtracted 25 from both 1,000 and 200, correctly. However, for the third number, 50 / 25 is actually 2, not 25. Therefore, the correct calculation should be (50 / 25) instead of (50 - 25).

So, the correct calculation in Step 2 should be (1,000 - 25) + (200 - 25) + (50 / 25) = 975 + 175 + 2 = 1,152.

Learn more about Division here:

https://brainly.com/question/33969335

#SPJ2

Lucy has the spinner pictured and
spins it twice in a row. What is the
probability that she lands on blue
first and then on yellow or green?

Answers

Answer:

d

Step-by-step explanation:

Final answer:

To find the probability of landing on blue first and then on yellow or green, one must multiply the probability of landing on blue by the combined probability of landing on yellow or green. However, exact probabilities cannot be provided without more information about the spinner.

Explanation:

The student is asking about the probability of a sequence of events occurring with a spinner. To calculate the probability of landing on blue first and then on yellow or green on the second spin, we must first know the individual probabilities of landing on each color. Assuming the spinner is fair and has equal sections for each color, the probability of landing on blue on the first spin (P(B)) and the probability of landing on yellow (P(Y)) or green (P(G)) on the second spin need to be calculated separately.

The probability of two independent events occurring in sequence is the product of their individual probabilities. Therefore, if the probability of landing on blue first is P(B), and the combined probability of landing on either yellow or green on the second spin is P(Y or G), then the total probability of the sequence is P(B) multiplied by P(Y or G). However, without the exact probabilities or a clear description of the spinner, we cannot provide a numerical answer.

6. A cone has a diameter of 6 inches and a height of 8 inches. Find the
volume using 3.14 for Tr. *

Answers

Final answer:

To calculate the volume of a cone with a diameter of 6 inches and a height of 8 inches, use the radius which is 3 inches and apply the formula V = 1/3πr²h, resulting in a volume of 226.08 cubic inches.

Explanation:

The subject's question is about finding the volume of a cone with a given diameter and height. The formula to calculate the volume of a cone is V = ⅓πr²h. Given that the diameter is 6 inches, the radius (r) is half of that, which is 3 inches. Using 3.14 for π (pi), and the given height (h) of 8 inches, we can substitute these values into the formula to find the volume.

So, the calculation is:

Find the radius (r) by dividing the diameter by 2, r = 3 inches.

Substitute r and h into the volume formula: V = ⅓πr²h = ⅓(3.14)(3 inches)²(8 inches).

Calculate the square of the radius (3 inches)² = 9 inches².

Multiply the area with height and π: V = ⅓(3.14)(9 inches²)(8 inches) = 226.08 cubic inches.

Therefore, the volume of the cone is 226.08 cubic inches.

A zookeeper created the following stem-and-leaf plot showing the number of tigers at each major zoo in the country:

Answers

Answer:

So the smallest number of tigers at any zoos is 7

Step-by-step explanation:

As we can see:

the data represented in the 0's is given by 7 the data represented in the 10's is given by 11 14 18 the data represented in the 20's is given by 25 25 25 26 27 27 29the data represented in the 30's is none the data represented in the 40's is none

So the smallest number of tigers at any zoos is 7

Final answer:

A stem-and-leaf plot is a tool used in mathematics to organize and interpret data. In this case, it's used to understand the distribution of tigers in major zoos across the country and can help find modes, medians, ranges for the dataset.

Explanation:

The question refers to a stem-and-leaf plot, a graphical tool widely used in mathematics for organizing and interpreting data. It's often used in middle school to introduce students to basics of statistics. In the context of this specific problem, the 'stems' would represent the tens place of the number of tigers and the 'leaves' would represent the ones place.

For example, a stem of 2 and a leaf of 3 would represent 23 tigers. When compiled, this plot provides an overview of the distribution of tigers in major zoos across the country. This type of graph is extensively useful for finding modes, medians, and ranges for data sets.

Learn more about Stem-and-Leaf Plot here:

https://brainly.com/question/31866107

#SPJ3

During his career, Walter Payton rushed for 16,726 yards. How many feet is that? I WILL GIVE BRAINLIEST!!!!!!!!

Answers

Step-by-step explanation:

1 yard = 3 feet so we will multiply 16726 yards with 3 so answer = 16726 × 3 = 50178

Final answer:

To convert yards to feet, multiply the number of yards by 3. Walter Payton rushed for 16,726 yards, which equals 50,178 feet when converted.

Explanation:

The question asks to convert the number of yards rushed by Walter Payton during his career into feet. To find the conversion, you can use the fact that there are 3 feet in 1 yard. Therefore, to convert yards to feet, you should multiply the number of yards by 3.

Walter Payton rushed for 16,726 yards during his career. Using the conversion factor:

Feet = Yards × 3

So,

Feet = 16,726 yards × 3

Feet = 50,178 feet

Thus, Walter Payton rushed for 50,178 feet during his career.

What is happening from ABCDE to A’B’C’D’E’?
2. Find 2 different ways
to get from the
pre image to the image

Answers

Answer: 1. it is being rotated by -180 degrees.

2. two different ways to get from a pre image to a image is to dilate and rotate it.

Step-by-step explanation:

The sequence of transformations is

A reflection across the x-axis followed by the y-axis and vice versaA 180 degrees rotation

How to determine the sequence of transformations

From the question, we have the following parameters that can be used in our computation:

ABCDE and A'B'C'D'E

Also, we can see that

The point in different directions, share the same center and are in adjacent quadrants

So, a possible transformation is

A reflection across the x-axis followed by the y-axis and vice versa

Another possible transformation is

A 180 degrees rotation

Read more about transformation at

brainly.com/question/27224272

#SPJ3

What is the mood of the expert of the monkey paw? A.) fearful B.) Irritated C.) playful D.) Energetic

Answers

Answer:

I believe its A. Fearful.

Step-by-step explanation:

Because his story is dark and malicious because of the mood its is dark and foreboding

A rectangle has a height of 5 and a width of 4x2 – 2x – 6.

Express the area of the entire rectangle

Expression should be expanded.

Answers

Answer:

The area of the rectangle is given by the expression "20x² - 10x - 30".

Step-by-step explanation:

The area of a rectangle is given by the product of it's dimensions. This is shown in the formula bellow:

area = width*height

In this case the width is an expression, so we need to multiply the numeric part of each mnemonic

area = 5*(4x² - 2x - 6)

area = 20x² - 10x - 30

The area of the rectangle is given by the expression "20x² - 10x - 30".

give an example of proportional reasoning

Answers

Answer:

An example of something proportional is a woman's tiny feet to her short stature. An example of something proportional is the amount of pay a worker gets for the hours that they put in.

Step-by-step explanation:

Hope this helped

:)

Mr. Matthews is conducting job interviews. He has 5 candidates for a teaching job and must choose 3 of them to go on to the second round of interviews. How many possible combinations of individuals exist?
A) 5
B) 8
C) 10
D) 12

Answers

Answer: 10

Step-by-step explanation:

Question in photo pls help

Answers

Answer:

Im pretty sure its C 1.5

Step-by-step explanation:

Answer is b and c

Explination

Circle P is below
What is the arc measure of the minor arc BC in degrees?

Answers

Answer:

131

Step-by-step explanation:

Please mark the other person Brainliest.

What is the slope of y = -4?

Answers

the equation describes a horizontal line with a y-intercept of -4. as the line is horizontal, the slope is 0.
Slope=0
Y-intercept=-4
Other Questions
A newly proposed device for generating electricity from the sun is a heat engine in which the hot reservoir is created by focusing sunlight on a small spot on one side of the engine. The cold reservoir is ambient air at 20C. The designer claims that the efficiency will be 50%.What minimum hot-reservoir temperature, in degrees C, would be required to produce this efficiency? Cars from an online service were examined to see how fuel efficiency (highway mpg) relates to cost (in dollars). According to the regression equation, a used car that costs $13,000 is predicted to get about 30.24 miles per gallon. According to the data, the car got 35 miles per gallon. What is the value of the residual for this car? You roll a 6-sided die.What is P(less than 6)? Vous __________ des bonnes notes si vous tudiiez. (avoir) In Scotts backyard, he has a windmill that makes 5 of a turn every hour. How many turns does it make for 1 hours? A county accounts for its debt service payments in the General Fund. The amount of unmatured, unpaid interest on general long-term liabilities at the beginning of the year was $122,000 (listed on the LTL Schedule). The ending balance was $165,000. The General Fund also made principal payments of $600,000 and interest payments of $150,000 during the year. The General Fund should report expenditures for debt service for the year of:$150,000 $722,000 $750,000 $793,000 29 is what percent of 80? When are factors are considered including environmental impact win turbines are considered to be the most efficient way to produce electricity true or false "A firefighter stood on the middle rung of a ladder. When the smoke became less thick, the firefighter moved up 4 rungs. Then it got too hot, and the firefighter moved down 6 rungs. Later, the firefighter went up 7 rungs and stayed there till the fire was out. After the fire was out, the firefighter climbed the remaining 4 rungs and entered the building. How many rungs does the ladder have?" In large cities such as New York City, a majority of citizensoften take public transportation and leave their cars athome.What is wrong with this text and visual aid?OA. The image of the car doesn't directly relate to the topic of publictransportation.OB. The car isn't popular in the United States, and most peoplewouldn't be able to identify it.OC. The image doesn't provide the make and model of the car.OD. The text doesn't explain what kind of public transportation is mostpopular in New York City. PLEASE HURRY!!! Dwight has 3 baseball cards, and Ellis has 9 baseball cards. If Dwight and Ellis put their baseball cards together and then divide them up equally, how many will each one of them have? 3 6 9 12 In how many ways can a quality-control engineer select a sampleof 3 transistors for testing from abatch of 100 transistors? What action did julius caesar take in 49 bce to become ruler? Which statement best distinguishes carbon dioxide from carbon monoxide? The story of how we came to learn the structure of the Milky Way is an excellent example of how science progresses. Part A Select the orrect statements. Check all that apply. Check all that apply. The Milky Way is much wider than it's thickness. So it is a narrow band with many stars in it, while the sky outside the band has much fewer stars. Shapley's 20th-century observations of globular cluster orbits, which center on a point about 30,000 light years from our Sun, showed we werent in the center of the galaxy. The Milky Way is not wider than it's thickness. We see stars distributed more or less evenly across the sky. Shapley's 20th-century observations of globular cluster orbits, which center on a point about 30,000 light years from our Sun, showed we were in the center of the galaxy. need help will give brainist Image: ( A regular hexagon has an apothem of 4 and a side length of 83 /3 Its area is:_____)AnswerA) 163 sq units B) 483 sq units C) 64sq units D) 323 sq units Which statements about the passage support the idea thatthis passage is an allegory for the famine in the SovietUnion? Select three options.The food rations have been cut and animals are starvingThe windmill has collapsed and people are talking aboutRead the passage from Animal Farmin January food fell short. The com ration was drasticallyreduced, and it was announced that an extra potato rationwould be issued to make up for it. Then it was discoveredthat the greater part of the potato crop had been frosted inthe clamps, which had not been covered thickly enoughThe potatoes had become soft and discoloured, and only afew were edible. For days at a time the animals hadnothing to eat but chaff and mangels, Starvation seemed tostare them in the face.it was vitally necessary to conceal this fact from the outsideworld. Emboldened by the collapse of the windmill, theof the windmill thehuman beings were inventing fresh lies about Animal Farm.Once again it was being put about that all the animals weredying of famine and disease, and that they were continuallyFighting among themselves and had resorted tocannibalism and infanticide Napoleon was well aware ofhe bad results that might follow if the real facts of the foodThe animals have never had contact with Mr. Whymper.The reality of the food shortage is hidden from the publicNapoleon resorts to propaganda to spread lies. A pendulum string with the length of 105 cm has the 325 g bob attached to it. At the lowest point of the swing the pendulum bob moves with the speed of 2.15 m/s. Determine: a) the centripetal acceleration of the pendulum bob at this point; b) the force of tension in the string at this point; c) the kinetic energy of the pendulum bob at this point; find a coterminal angle to 20 degrees answer choices r 320 760 690 and 740