complete the square, please show work x^2+12x=13

Answers

Answer 1

Answer:

[tex]x = 1 \: or \: x = - 13[/tex]

Step-by-step explanation:

[tex]x^2+12x=13 \\ x^2+12x - 13=0 \\ x^2+13x - x - 13=0 \\ x(x + 13) - 1(x + 13) = 0 \\ (x - 1)(x + 13) = 0 \\ x = 1 \: or \: x = - 13[/tex]


Related Questions

Complete this sentence: The shortest side of a triangle is always opposite the _____
A. second-longest side
B. longest side
C. angle with the smallest measure
D. angle with the greatest measure

Answers

By answering the above question, we may state that  angle with the smallest measure, the smallest-measured angle

what are angles?

An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.

angle with the smallest measure

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

Which of the following represents the expression (-3) (-3) (-3) (-3). 7.7.7.7.7. 7 using exponents

Answers

I’m not sure sorry but try another app

Group Tens as Hundreds
Write how many tens. Circle groups of 10 tens.
Write how many hundreds. Write the number.

Answers

Answer:

Write how many groups of tens there are

Circle groups where there are ten groups of tens

Write how many hundreds there are

Write the total number of tens and hundreds there are

A fuel company supplies fuel in two different-sized tankers. The first tanker can supply x cubic feet of fuel in one trip and the second tanker can
cubic feet of fuel in one trip. The first tanker makes M trips daily and the second taker makes n trips daily. What does
Mx +Ny represent in expression
Mx +NY,
M+N
total fuel, in cubic feet, supplied by the two tankers in one trip
total fuel, in cubic feet, supplied by the two tankers in one day
o
total fuel, in cubic feet, supplied by the two tankers in one week
total fuel, in cubic feet, supplied by the two tankers in one month

Answers

Answer:

A. Total fuel, in cubic feet, supplied by the two tankers in one trip.

Step-by-step explanation:

First option: A. Total fuel, in cubic feet, supplied by the two tankers in one trip.

Select each transformation that carries a square onto itself.

A
A rotation of 180 degrees clockwise about one of the square's vertices.

B
A rotation of 90 degrees clockwise about the square's center.

C
A reflection over one of the square's sides.

D
A rotation of 180 degrees clockwise about the square's center.

E
A reflection over one of the square's diagonals.

Answers

Answer: E B D

Step-by-step explanation: I did a test

Transformation involves moving a shape from one position to another. The transformation that carries the square onto itself is:

A rotation of 90 degrees clockwise about the square's center. A rotation of 180 degrees clockwise about the square's center. A reflection over one of the square's diagonals.

For the square to carry itself onto itself, it must either be rotated or reflected.

For reflection:

It must be reflected across any of its diagonal

For rotations:

It must be rotated through its center, around multiples of 90 degrees (i.e. 90, 180, 270, 360.....)

Hence, the correct options are: B, D and E

Read more about transformations at:

https://brainly.com/question/11709244

Please help!

Let triangle ABC be an isosceles triangle where angle ABC is congruent to angle BCA. Prove that the sides (AB and AC) opposite the congruent base angles of a triangle are congruent.

Answers

I constructed line AD as a perpendicular bisector of line BC. Angles BDA and CDA are both 90 degrees because of the construction of a perpendicular bisector. Angles BDA and CDA are congruent because of the transitive property of equality.  Line BD is also equal to CD according to the definition of a perpendicular bisector. Triangles ABD and ACD are congruent by the angle side angle postulate. Since the parts of the congruent triangles are congruent, lines AB and AC are congruent.

The sides AB and AC opposite the congruent base angles of a triangle are congruent.

What is an isosceles triangle?

An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.

For the given situation,

Triangle ABC be an isosceles triangle.

∠ABC ≅ ∠BCA.

The diagram below shows an isosceles triangle ABC with AD is the perpendicular bisector of BC.

The perpendicular bisector AD divides the line BC as BD and DC.

Then, BD = DC.

We get triangles ΔADB and ΔADC,

AD = AD [∵ common side]

⇒ [tex]\angle ADB = \angle ADC=90[/tex]

Thus by ASA theorem,

The two triangles ΔADB and ΔADC are similar.

Then by CPCT theorem,

Side AB ≅ AC.

Therefore the sides AB and AC opposite the congruent base angles of a triangle are congruent.

Hence we can conclude that the sides AB and AC opposite the congruent base angles of a triangle are congruent.

Learn more about an isosceles triangle here

https://brainly.com/question/12951731

#SPJ2

7t - 4 = 10t + 14 HURRY PLEASE

Answers

Answer:

7t-4=10t+14

7t-10t=14+4

-3t=18

-3t/3=18/-3

t=-6

Answer:

Pretty sure it's t = -6

Step-by-step explanation:

7t - 4 = 10t + 14

7t -10t = 14 + 4

-3t = 18

t = -6

The point C is 3/4 of the way from point A (-4,1) to point B (6,5). What are the coordinates of point C?

Answers

Answer:

(-1,5)

Step-by-step explanation:

The coordinates of point C are (7/2, 4).

What is midpoint of a line segment?

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

C is a point between AB.

Point C is 3/4 of the way from point A (-4,1) to point B (6,5).

This means,

AC : CB = 3 : 1 = m : n

Now,

m = 3

n = 1

(-4, 1) = (a, b)

(6, 5) = (c, d)

C = (x, y)

x = (mc + na)/(m + n)

x = (3 x 6 - 4)/4

x = (18 - 4)/4 = 14/4 = 7/2

y = (md + nb)/(m + n)

y = (15 + 1)/4 = 16/4 = 4

Now,

The coordinates of C is (7/2, 4).

Thus,

C is at the point (7/2, 4).

Learn more about midpoints of a line segments here:

https://brainly.com/question/13792156

#SPJ2

If a family uses 3 gallons of milk every week, how much milk will this family use in four days?

Answers

Answer:

Step-by-step explanation:

3 gallons of milk in 1 week means they use 3 gallons of milk in 7 days.

To find out how much milk they use in 1 day, simply divide 3 gallons by 7.

1 day = 3/7 gallons

Then to find how much they use in 4 days, multiply the amount in 1 day by 4.

4 days = 3/7 x 4 = ? Gallons

Answer:

1. 71428571429

Step-by-step explanation:

You divide 3 by 7 then multiply the answer by 4 is what I did not saying it’s completely 100% right though

Please help me with this question? ​

Answers

Answer:

Step-by-step explanation:

The answer is A

If it's not then i'm sorry

Answer:

None of the above

Step-by-step explanation:

A. b ≠ 0

B. Solve for b:

-7/(2 b) = (2 b)/7

Cross multiply:

-49 = 4 b^2

-49 = 4 b^2 is equivalent to 4 b^2 = -49:

4 b^2 = -49

Divide both sides by 4:

b^2 = -49/4

Take the square root of both sides:

Answer: b = (7 i)/2 or b = -(7 i)/2

How to round 141.999 to the nearest one

Answers

Answer:

It's 142

(✿◠‿◠)

If you have a 5 or more on the tenths place, then you make one go up to the next number.

Answer:

142

Step-by-step explanation:

To round 141.999 to the nearest hundredth consider the thousandths’ value of 141.999, which is 9 and equal or more than 5. Therefore, the hundredths value of 141.999 increases by 1 to 0.

The temperature went from -6°F to -11°F. What was the change in temperature?
-5 F
5F
-17°F
17 F

Answers

I think that is -17 hope that helps

Answer:-5 F

Step-by-step explanation -6 + -5 = -11

A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled. What is the
probability of getting a multiple of 3?
Your answer

Answers

Answer:

2/6

Step-by-step explanation:

There are only 2 multiples of 3, and there are only 6 possible outcomes.

chen can ride his bike 3 miles in 15 minutes. How long will it take chen to ride 18 miles

Answers

Answer:

15*6 = 90 minutes (1 hour and 30 minutes)

Step-by-step explanation:

439.1, 439.09 ,439.6 ,439.001 least to greatesr find sum

Answers

Answer:

439.001  439.09  439.1  439.6

Step-by-step explanation:

Write the equation for the line that goes through (3.18) and has a slope of 2.

Answers

Answer:

y=2x+12 or 18=2(3)+12

12=b

hope this helps =3

sorry if im wrong

HELP! A line goes through the points (8,10) and .

What is the slope of the line? Show your work

Write the equation of the line in point-slope form. Show your work

Write the equation of the line in slope-intercept form. Show your work.


I will give y'all 50 points please answer and show your work! Please keep in mind I am not afraid to report someone.

Answers

Answer:

slope is [tex]\frac{3}{5}[/tex] ; slope-intercept form is y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{13}{20}[/tex] ; point-slope form is 4 - 10 = [tex]\frac{3}{5}[/tex] (-2 - 8)

Step-by-step explanation:

first, we find the slope by using our points (8,10) and (-2,4)

to do so, you use the expression [tex]\frac{y1 - y2}{x1 - x2\\}[/tex] where (8,10) is point 1 and (-2,4) is point 2

this results in [tex]\frac{10-4}{8--2}[/tex]

10-4 is 6 and 8--2 is 10

which results in the slope of [tex]\frac{3}{5}[/tex]

now that we have the slope, we can solve for the y-intercept using the slope-intercept formula [y = mx +b]

we choose a point [im using (8,10)] and but the values in for x and y in the equation, which gives us 10 = 3/5 (8) + b , and solve for b

to solve for b, we start by dividing both sides by 8, resulting in 5/4 = 3/5 +b

then, subtract 3/5 from 5/4, resulting in 13/20 = b

To check the work, we use slope-intercept formula again [yeyyy]

y = 3/5x + 13/20 ; 4 = 3/5 (-2) + 13/20

i used my calculator to check, it's correct

SO: the slope-intercept form of the equation is y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{13}{20}[/tex]

now we get to do the point-slope formula [yeyyyyyyyyyyy!!!]

point-slope formula is y - y1 = m (x - x1)

the slope [m] is [tex]\frac{3}{5}[/tex]

and we use any given point [im using (8,10) again, but any point should technically be correct] for y1 and x1

inputting our values, we get y - 10 = 3/5 (x - 8)

now, you use any other point for x and y to check the work

4 - 10 = 3/5 (-2 - 8)

-2 - 8 is -10, and 3/5 times -10 is -6, which is equal to 4 - 10

Answer:

3/5

Step-by-step explanation:

did the test

what's -7 / 8 × 6 / 9 ​

Answers

Answer:

-7/12

Step-by-step explanation:

2. Tand Rare vertical angles. m measure of an angle that is supplementary to

Answers

Answer:

Could you please give more information? If and when you do, I'll gladly update my answer. I check my daily notifications!

Step-by-step explanation:

Suppose f(x) = 12x – 1,400 and g(x) = 12x – 1,535. Describe the transformation of the graph of f to the graph of g. Group of answer choices The graph is translated left 135 units. The graph is translated right 135 units. The graph is translated down 135 units. The graph is translated up 135 units.

Answers

The graph is translates down 135 units, because you can see how the y-intercept decreased by 135 units from f(x) to g(x).

The transformation of the graph of f to the graph of g is that the graph is translated down 135 units.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given two functions are

f(x) = 12x – 1,400 and

g(x) = 12x – 1,535

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

We need to find the transformation of the graph of f to the graph of g.

The graph is translates down 135 units, because the y-intercept decreased by 135 units from f(x) to g(x).

Hence,  the transformation of the graph of f to the graph of g is that the graph is translated down 135 units.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Problem number 26 of the Rhind Papyrus says:

Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15.



The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15..

What is the solution to the equation?

x = 10
x = 12
x = 15
x = 30

Answers

Answer:

X=12 on edg

Step-by-step explanation:

Answer:

I can confirm, the answer is 12.

2(4x − 3) = 5x − 3(x − 4)

Answers

Answer:  x=3

Step-by-step explanation:

x=3 if you isolate the variable (x) by dividing each side by factors that don’t contain the variable.

Will give brainiest answer and please give an explanation why?

Answers

Answer:

its rotation

because it just rotate one time

The Empire State Building is 1,250 feet tall. Maria wants to make a model that has a scale of 1/4 foot = 50 feet. How to tall will her model be?​

Answers

Answer: 25 Feet.

Step-by-step explanation: 1,250 % 50.

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010.

Answers

Complete question :

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

Answer:

$265,720

Step-by-step explanation:

Given that:

State gasoline tax = $0.26 per gallon

Average number of gasoline sold per day = 1,022,000 gallons

. From the availabke information given :

Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold

= $0.26 * 1,022,000

= $265,720

The average revenue from gasoline tax in 2010 is $265,720.

Calculation of the average revenue:

Since the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day

So, here the average revenue should be

= 0.26 of 1,022,000

= $265,720

hence, The average revenue from gasoline tax in 2010 is $265,720.

This is an incomplete question. Please find the complete details below.

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

Learn more about revenue here: https://brainly.com/question/16834673

In your own words explain to someone how to find the intersection of two sets.

Answers

Answer:

in simple terms find the common elements present in both sets

eg sets

A=[1,2,3,4,5]

B=[4,5,7]

AnB=[4,5]

Mrs. Moeser weights her grades. Tests are worth 60%, quizzes are worth 20%, homework is worth 10% and notebooks are worth 10%. Mike has a quiz average of 87, a homework average of 65, and a notebook average of 70. What does Mike's test average have to be for him to receive a 90 or higher?

Answers

Answer:

It has to at least be a 90

Step-by-step explanation:

13 = 11 - 4x
Two step equation please help?

Answers

Exact form: X= -1/2
Decimal form: X= -0.5

I need to find the value of y

Answers

ok check this out

its a simple equation from my analysis

given the equation of the vector line 3y-4=28

just an algebraic simplification might help

3y=28+4

3y=32

y=1Answer: y=10.6667

Step-by-step explanation:

y=10.6667

Alison’s age is 16 more than half of Sam’s age. Using S to represent Sam’s age, write an expression that represents Alison’s age

Answers

Answer:

(s/2)+16=Alison's age

Step-by-step explanation:

Answer:

1/2S + 16.

Step-by-step explanation:

Other Questions
Only if you've read the novel1. What is the plot of How I Nicky Flynn Finally Get a Life (and a dog) by Art Corriveau?2. Who are the main characters of How I Nicky Flynn Finally Get a Life (and a dog) by Art Corriveau?3. What is the exposition, rising action, climax, falling action and resolution?4. How many parts are there?a. Oneb. Twoc. Threed. Four Jesse's mother gave him 55 pieces of candy to give to his friends at his birthday party. He gave 4 pieces to each of his friends and still had 3 pieces left. The equation 4x + 3 = 55 can be used to find the number of friends (x) at the party.How many friends were at Jesse's party?A) 13 B) 14 C) 15 D) 16 Which statement best supports the second account?Read these two passages, which provide differentperspectives on the Boston Massacre.In passing to this station the soldiers pushed severalpersons with their bayonets, ... This occasioned somesnowballs to be thrown at them which seems to havebeen the only provocation that was given... thesoldiers of his detachment had attacked the people withther bayonets and... there was not the leastprovocation ....Captain Preston is said to have ordered them to fire, andto have repested that order,Witnesses to the massacreOn my asking the soldiers why they fired without orders,they said they heard the word "fire" and supposed itcame from me. This might be the case as many of the,mob called out, "Fire, fire," but I assured the men that IO "heard the word 'fire' and took it and am certain thatit came from behind the Soldiers... the word 'fire'took to be a word of Command." Benjamin Burdick" turned about and looked and heard the officer whostood on the right in a line with the Soldiers give theword "fire' twice." Daniel CalefO "I heard the word "fire several times but know notwhether it came from the Captain, the Soldiers orPeople." -Theodore BlissO "Capt. Preston was out and commanded 'em. Theydrew up and charged their Bajonets." EbenezerHinkley Which of the following is the best description of the relationship between communication and health? People who talk a lot tend to be healthier. Good communication is the basis of relationships. which are essential for healthy living. Communication helps us understand ourselves. Good communication skills promote success in the work place. Encontraste el diario de tu abuelita, en el que contaba sus experiencias sobreun viaje a Puerto Escondido con tu abuelito. Compltalo con los verbosindicados. ASAP What is it plsss?? PLS HELP ME Which sentence demonstrates the best use of technical language? I was so happy that I could have jumped over the moon. Every Sunday the church gathered to make meals for the needy. The mob rushed to the stage as the band finished its set. The forest growth in the understory was thick and dense; it was difficult to find the trail. Dechen said to dorji,"go away." in indirect speech Can somebody helpp ??? A bowl contains 6 apples, 3 oranges and 5 pears. If five pieces of fruit are drawn without replacement, what is the probability of picking:a) exactly 4 pearsb) at least 2 applesc) how many apples would you expect to pick out of the 5 pieces of fruit? 2Complete Subjects and Complete Predicatescomplete completesubject predicateThe frog | is an amphibian.A. Underline the complete subject of each sentence.1. An amphibian lives part of its life in water.2. It spends the other part of its life on land,3. This class of animals includes frogs, toads, and salamanders.4. Most of these creatures hatch from eggs.5. The eggs do not have hard shells,6. A jellylike substance protects the eggs.7. Some amphibians have smooth, moist skin.8. No hair grows on the outer layer,9. Every one these animals is cold blooded.10. Their surroundings cause changes in their body temperatures. HELPPPPPPPPPPPPPPPPPPPPPPPPP Cuento 2:Keisha es fuerte y atltica. Keisha es olvidadiza a veces. Keisha juega al rugby.Keisha tiene pelo morado y corto y ojos verdes. (Ella tiene pelo corto para protegerlodurante rugby.) Ella es una estudiante de North Side High School. Ella siempre camina ala escuelaUn dia Keisha camina a la escuela y ve a una persona especial. Es Kobe Bryant!Kobe no camina a North side, Kobe corre a una prctica de rugby porque su hijajuega al rugby.Kobe ve a Keisha. Keisha tiene una pelota de rugby. Kobe camina con Keisha. Kobedice - Buenos das. Cmo te llamas?--Me llamo Keisha, --responde Keisha.--Dnde est la prctica de rugby? -pregunta Kobe.Keisha est confundida. Ella se olvid que haba una prctica. -No hay unaprctica esta maana morning).--Tengo un mensaje de texto y muestra a Keisha su mvil.Keisha ve el mensaje. Keisha se siente pnico y corre a la prctica. Kobe no corre.Kobe est confundido.o How does a rain gauge measure rainfall? A. by collecting rain in a measuring container B. by counting raindrops C. by measuring the sound of rainfall D. by measuring the darkness of clouds what table shows the relationship between the gallons of cleaning solution made of cups bleach used whu is it important to mave regular supervision of weights and measurements in the market How would you write the phrase ( 10 more than a number)? What are the x- and y-intercepts of the graph of. PLEASE HELP! Which debates do you think are more valuable to voters?A. Presidential debatesB. Vice-presidential debatesC. Both presidential and vice-presidential debatesD. I'm not sureSelect an answer If 125% of x is 225, what is the value of x?