Solve 0=x^2 +6x+13 by completing the square

Answers

Answer 1

Answer:

No real solutions

Step-by-step explanation:

0=x^2+6x+13

Step 1: Subtract x^2 from both sides.

0−x^2=x^2+6x+13−x^2

−x^2=6x+13

Step 2: Subtract 6x from both sides.

−x^2−6x=6x+13−6x

−x^2−6x=13

Step 3: Since the coefficient of -x^2 is -1, divide both sides by -1.

−x^2−6x/−1 = 13/−1

x^2+6x=−13

Step 4: The coefficient of 6x is 6. Let b=6.

Then we need to add (b/2)^2=9 to both sides to complete the square.

Add 9 to both sides.

x^2+6x+9=−13+9

x^2+6x+9=−4

Step 5: Factor left side.

(x+3^)2=−4

Step 6: Take square root.

x+3=±√−4

Step 7: Add -3 to both sides.

x+3+−3=−3±√−4

x=−3±√−4

Answer 2
Your answer is no real solutions hope this helps

Related Questions

Cailen has 2 hours to drive to her friend’s house and work on some assignments. Each assignment takes an average of 18 minutes, and it takes Cailen 10 minutes to drive to the house. What inequality describes this? How many assignments can Cailen complete?

Answers

Answer:

Cailen can complete at least 6 assignments.

Step-by-step explanation:

Given that:

Time Cailen have = 2 hours = 2*60 = 120 minutes

Time taken to drive to house = 10 minutes

Time left for assignments = 120 - 10 = 110 minutes

Time taken on one assignment = 18 minutes

Let,

x be the number of assignments.

18x + 10 ≤ 120

18x ≤ 120-10

18x ≤ 110

Dividing both sides by 18

[tex]\frac{18x}{18}\leq \frac{110}{18}\\x\leq 6.11[/tex]

Hence,

Cailen can complete at least 6 assignments.

20. An aircraft will travel a total distance of 6000 miles. The first part of the trip takes two hours, and the aircraft's average speed is 700 miles per
hour. If the entire trip takes 12 hours, what is the aircraft's average speed, in miles per hour, during the second part of the trip?
O 383
O 442
O 530
O 460

Answers

The answer is 442 I think

The area of a circular plate is 625pi sqaure in. If the radius of the plate is tripled what is the new area

Answers

Answer:

5625in²

Step-by-step explanation:

Area of the plate = πr²

625π = πr²

625 = r²

r = √625

r = 25in

If the radius of the plate is tripled, then the new radius will be 3(25) = 75in

New Area = π(75)²

New Area = 5625π in²

If the radius is tripled, the new area of the plate is 5625in²

Jordan and Dajia are both completing homework on Deltamath. Jordan started yesterday and completed three problems and is solving the problems at a rate of 2 questions per minute. Dajia waited until today to get started and is solving the problems at a rate of 3 questions per minute. After how many minutes will they have solved the same number of questions?

Answers

233hsjsxisnwwnsjsjnwkkskxnxnd

what is 9656789x98765 u will get 29 points from this

Answers

Answer:

953752765585

Step-by-step explanation:

Hope this helps.

Answer:

953752765585

Step-by-step explanation:

JUST MULTIPLY

PLZ HELP!!!!

Raj buys a terrarium that is in the shape of a triangular prism. The dimensions of the terrarium are shown below.
Raj knows that every triangular prism is made up of two triangular sides and three rectangular sides. Which equation represents the total surface area, in square inches, of the terrarium?

A. 1/2(6)(4)+3(6x10)=192
B. 2 (1/2 (6)(4)) +3(5x10)=174
C. 2(1/2(6)(4))+(6x10)+2(5x10)=184
D. 1/2 (6)(4)+ (5X10)+2(6X10)=122

Answers

Answer:

Step-by-step explanation:

48 :D

4x6=24

24/.5=48

The equation that represents the total surface area, in square inches, of the terrarium is D. 1/2 (6)(4)+ (5X10)+2(6X10)=122

What is a triangular prism?

Suppose we got a triangle. Now, strech it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

Given that the parameters are;

Height = 4 in

Base = 6 in

Length = 10 in

Raj buys a terrarium that is in the shape of a triangular prism. he knows that every triangular prism is made up of two triangular sides and three rectangular sides.

Area of the triangular prism;

1/2 (6)(4)+ (5X10)+2(6X10)=122

Learn more about volumes of triangular prisms here:

https://brainly.com/question/16909441

#SPJ3

Find the unknown factor.
(30x +40) = 5(?)
The unknown factor is
(Simplify your answer.)
HELP!!!! 35 POINTS+ BRANLIEST TO FIRST CORRECT ANSWER

Answers

The answers is -7/6x

im so confused I need help​

Answers

Answer: X=4

Step-by-step explanation:

simplify (a + b)2

Answer Options:
a+b
ab
a2 + b2

Answers

Answer:

2a+2b

Step-by-step explanation:

a times by 2 is 2a

b times by 2 is 2b

Brainliest for correct answer!!!
Identify the Restricted values, X and y intercepts​

Answers

Answer:

x cant be 1 or 4 or you will divide by zero

Step-by-step explanation:

Switch x and y and solve for y to get restricted values of y

Find JM JM=12 JM=10 JM =24 JM=5

Answers

Answer:

12

Step-by-step explanation:

How does the graph of f (x) = |x| compare with the graph of g (x) = -1/2 |x|?

Answers

Answer:

The graph of f(x) = |x| is a v-shape and doesn't cross over the x-axis.

The graph of g(x) = -1/2|x| is still a v-shape, but it's upside-down and a bit wider. This is because of the coefficient in front of the |x|.  The negative sign flips the graph of |x| and the 1/2 makes the slope smaller, therefore the graph is less steep.

I've attached a picture of the two lines below!

marking brainliest

Mr. Miller's farm and Mr. Newton's farm together cover 525 acres. Mr. Miller's
farm is 65 acres larger than Mr. Newton's. Find the size of each farm.

Answers

Answer:

Mr. Miller's farm is 295 acres, and Mr. Newton's farm is 230 acres.

Step-by-step explanation:

From the problem we can make the following equations.....

Let "N" be the area of Mr. Newton's farm and let "M" be the area of Miller's farm. Then.....

N + M = 525

N + 65 = M

Now substitute and get....

N + M = 525

N + N + 65 = 525

2N = 460

N = 230⇒

⇒N + 65 = M

230 + 65 = 295

Write the point-slope form of the equation of the line through the given points.
through: (4,3) and (-2,-4)

Answers

Answer:

y-3=7/6(x-4)

Step-by-step explanation:

the equation for point-slope form is y-y1=m(x-x1)

first let's find the slope (m)

the formula for slope is (y2-y1)/(x2-x1)

the given points: (4,3) and (-2,-4)

label the points:

x1=4

y1=3

x2=-2

y2=-4

now substitute into the equation

m=(-4-3)/(-2-4)

m=-7/-6

m=7/6

the slope is 7/6

now substitute the numbers into the equation for point-slope form

y-3=7/6(x-4)

Hope this helps :)!

How do I find the answer to 5x+20Y-6=32

Answers

Answer:

Combine like terms if possible

Then solve

5x+20y-6=32

No liek terms available

5x+20y=38

Add 6 becuase its an equation

We can’t simplify anymore

So The answer is 5x+20y=38

If you want it in a form of x or y just letme know in the comments

PLZZZ HELP ME ASAP! TAKING A TEST
Which expressions are equivalent to x+4/3 / 6/x when x ≠ 0? Select three options.

Answers

Answer:

Thx for free points. remember me? actually answer questions.

The driving distance between Manchester and London is 195 miles. Faris intends to travel from Manchester to London by coach. The coach will leave manchester at 3:30.

Answers

Question:

The driving distance between Manchester and London is 195 miles. Faris intends to travel from Manchester to London by coach. The coach will leave Manchester at 3:30 pm. Faris assumes that the coach will travel at an average speed of 50 mph; using his assumption workout Faris’s arrival time in London

Answer:

[tex]Arrival = 7:24pm[/tex]

Step-by-step explanation:

Given

[tex]Distance = 195\ miles[/tex]

[tex]Speed = 50mi/hr[/tex]

[tex]Take\ off = 3:30\ pm[/tex]

Required

Determine the time of arrival

First, we need to calculate the time to complete the journey.

[tex]Speed = \frac{Distance}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{Distance}{Speed }[/tex]

Substitute values for Distance and Speed

[tex]Time= \frac{195mi}{50mi/hr}[/tex]

[tex]Time= 3.9hr[/tex]

The arrival time is:

[tex]Arrival = Take\ off + Time\ Taken[/tex]

[tex]Arrival = 3:30pm + 3.9\ hours[/tex]

Split

[tex]Arrival = 3:30pm + 3\ hours + 0.9\ hours[/tex]

[tex]Arrival = 6:30pm + 0.9\ hours[/tex]

Convert 0.9 hours to minutes

[tex]Arrival = 6:30pm + 0.9 * 60\ mins[/tex]

[tex]Arrival = 6:30pm + 54\ mins[/tex]

[tex]Arrival = 7:24pm[/tex]

Simplify the expression -6w + (-8) + 1 + (-7w)

Answers

Answer:

The expression in simplified form is -13w - 7

Step-by-step explanation:

Given expression is;

-6w + (-8) + 1 + (-7w)

Rearranging the expression and combining alike terms;

-6w + (-7w) + (-8) + 1

-6w - 7w -8 + 1

-13w - 7

The expression in simplified form is -13w - 7

Hence,

The expression in simplified form is -13w - 7

In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V , the volume of the cylinder in cubic feet?

Answers

Answer:

v=π×(12÷2)^2×h=36πh ft^3

Step-by-step explanation:

v=π(d÷2)^2×h(formula)

Sally's dog boarding service currently has 4 Great Danes, 6 golden retrievers, 24 mastiffs, and 12 Doberman pinschers. What is the ratio of Great Danes to the total number of dogs at Sally's boarding service? A. 2:23 B. 6:23 C. 23:2 D. 23:6

Answers

Answer:

1:24

Step-by-step explanation:

add all the dogs then divide it by 2

and get 1:24

Find the value of x.
3x
X + 10
Х
2x
x = [?]°
Hint: Sum = (n-2)180
Enter

Answers

Answer: i’m confused

Step-by-step explanation:

Anyone know the answer to this?

Answers

Answer:

Use the product property. Answer below.

Step-by-step explanation:

Help please? thank u I will mark brainliest when I can!!

Answers

Answer:

22.    $11.00

23.    9 feet/1 minute

Step-by-step explanation:

22.   22/2 = 11

23.   1 yard = 3 feet so 3 yards = 9 feet

Eon runs a music store. He sells CD's for 1.6 times what he pays for them. If Eon sells a CD for $15.20, how much did he pay for it​

Answers

Answer:

$9.50

Step-by-step explanation:

Answer:

$9.50

Step-by-step explanation:

divide $15.20 by 1.6

2 = f/8 Solve the equation.

Answers

Answer:

f = 16

Step-by-step explanation:

Isolate the variable, f. Note the equal sign, what you do to one side, you do to the other. Multiply 8 to both sides of the equations:

2 = (f/8)

2(8) = (f/8)(8)

f = 2 * 8 = 16

f = 16 is your answer.

~

Answer:

f= 16

Step-by-step explanation:

multiply by 8 on both sides

16=f

When Pico writes articles for an adventure magazine, he gets paid by the word. For a 1,300-word article, he earned $780. How much would Pico earn for a 1,950-word article?

Answers

Answer:

Earning for 1950- word article = $1170

Step-by-step explanation:

Given that:

Amount paid for 1300 word article = $780

Ratio of words to money = 1300 : 780

Let,

x be the amount for 1950 words.

Ratio of words to money = 1950 : x

As the relationship is proportional

1300 : 780 :: 1950 : x

Product of mean = Product of extreme

780 * 1950 = 1300x

1300x = 1521000

Dividing both sides by 1300

[tex]\frac{1300x}[1300}=\frac{1521000}{1300}\\x=1170[/tex]

Hence,

Earning for 1950- word article = $1170

The distance between Maritza's house and her school is 12.5 kilometers. The bus stop is 11.75 kilometers from school. How many meters must she walk to the bus stop?

Answers

Answer: She must walk 750 meters to bus stop.

Step-by-step explanation:

Given: Distance between Maritza's house and her school (A)= 12.5 kilometers.  (Total distance)

Distnance between Bustop and school (B)=  11.75 kilometers

Distance she need to walk to reach bus stop = A - B

=  12.5 - 11.75  kilometers

= 0.75 kilometers

= 0.75 x 1000 meters   [ 1 kilometer = 1000 meters]

= 750 meters

Hence, She must walk 750 meters to bus stop.

What is the direct variation equation if f(x) varies directly with x and f(x)=−18 when x = 3?

A) f(x)=−15x
B) f(x)=−3x
C) f(x)=−16x
D) f(x)=−6x

Answers

Answer:

your answer is B becausewe can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = - 3.

Answer:

The answer is C, I just took the quiz in CAVA :))

FYI: C is f(x)=−1/6x not f(x)=−16x

Julain has 200ml of 35% hand sanatizer. Sarah has 150ml of 85% hand sanatizer. They mix the sanatizers together in an effort to acheive 60% concentration. 1) How many milliliters of pure alchol are in the new mixture? 2) How many mililliters of water are in the new mixture? 3)What is the concentration of alchol in the new mixture?(Round your answer to one decimal place)

Answers

Answer:210ml, 140 ml, 60%

Step-by-step explanation:

Given

Juli has 200 ml of 35% hand sanitizer

Sarah has 150 ml of 85% hand sanitizer

The mixture has 60% con. i.e. 60 % is Alcohol and 40 % water

The final volume of the mixture =200+150=350 ml

Now, 60% of 350 ml= [tex]350\times 0.6=210\ ml[/tex]

So, pure Alcohol is 210 ml

Water in the final mixture= [tex]350\times 0.4=140\ ml[/tex]

The concentration of Alcohol is 60%

does anyone remember that one math game that had origami animals as characters. If so tell me!

Answers

Yeah I remember

Omg I loved it so much but it’s okay now

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