2(t-3)² - 72 = 0. extracting square roots. with solution please​

Answers

Answer 1

Answer:

t = 9

Step-by-step explanation:

Here, we want to find the value of t

2(t-3)^2 -72 = 0

2(t-3)^2 = 72

divide both sides by 2

(t-3)^2 = 72/2

(t-3)^2 = 36

(t-3)^2 = 6^2

Since powers are equal, we equate base

t-3 = 6

t = 6 + 3

t = 9


Related Questions

Please help, I'm stuck and really need this.

Answers

Answer:

r = 8

Step-by-step explanation:

To find the radius with only the area you do r = [tex]\sqrt{A/\pi }[/tex]

Since your area 64[tex]\pi[/tex] = 201.0619298 then 201.0619298/[tex]\pi[/tex] = 64

[tex]\sqrt{64}[/tex] = 8

Hope this helps!!

sam bought 2 1/5 pounds of carrots for 6.60$. what is the unit rate in cost per pound ​

Answers

Answer:

The answer is 3.

Step-by-step explanation:

What is the value of n? help asap​

Answers

Answer:

26

Step-by-step explanation:

Write a positive or negative integer that represents the situation.

The temperature rises 17 degrees.

Answers

Answer:

+17

Step-by-step explanation:

Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills. Andrew A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 18, 24. Column 2 is labeled Distance in miles with entries 1.5, 2. Karleigh A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 30, 40. Column 2 is labeled Distance in miles with entries 3, 4. Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance? Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 10 EndFraction mile per minute. Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 10 EndFraction mile per minute.

Answers

Answer:

ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.

That is, S = D/t

Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have

S1 = D1/t

We can then say he ran a distance

D1 = t × S1

= 3600S1

Similarly, let's say Karleigh ran a distance

D2 = t × S2

= 3600S2

Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.

Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10

D1 = 3600 × 5

= 18000

D2 = 3600 × 10

= 36000

This makes D2 bigger than D1. this is an example i found on the internet.

Step-by-

hope this helps, good luck

The ratio of the change in distance to the corresponding change in time

gives the speed of a runner.

The statement that explains who ran a greater distance is; Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.

Reasons:

The tables are;

Andrew

[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right][/tex]

Karleigh

[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right][/tex]

The duration each on the treadmills is 1 hour = 60 minutes

[tex]\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}[/tex]

Therefore;

[tex]\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}[/tex]

[tex]\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}[/tex]

[tex]\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}[/tex]

[tex]\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}[/tex]

Therefore;

Karleigh ran a greater distance

The correct option is; Karleigh ran a greater distance. The slope of the line in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.

Learn more about formula for speed here

https://brainly.com/question/24455685

Find the number represented by the prime factorization. 2^2 x 3^2 x 5​

Answers

Step-by-step explanation:

4* 9* 5

= 180

I think that is the answer

Hope it helps :)

The number represented by 2² × 3² × 5  is 180.

What is prime factorisation ?

Prime factorisation is factoring a given composite number in terms of prime numbers multiplied with each other.

Prime numbers are those numbers which are only divisible by 1 and the number it self.There are 25 prime numbers from 1 to 100 and 47 prime numbers from 1 to 200.

According to the given question the number represented by prime factorisation 2² × 3² × 5 = 4 × 9 × 5 which is

= 36 × 5

= 180.

learn more about prime factorisation here :

https://brainly.com/question/24298927

#SPJ2

Please help it would be great

Answers

Answer:

120

Step-by-step explanation:

jUts bEcAusE

Help please! I’m confused

Answers

Answer:

28 degrees

Step-by-step explanation:

hi! since m<ABC is 175 degrees and m<YBC is 147 degrees, we can subtract these to find m<ABY.

175-147= 28 degrees

Write a paragraph, flowchart, or 2-column proof for the following conjecture:
Given: angle 1 = angle 4
Prove: angle 3 = angle 2

Answers

Answer:

How I would write my paragraph:

If angle 1 is congruent to angle 4, angle 1 must also be congruent to angle 3 by the transitive property. This is because is angle 3 and angle 4 are vertical angles, and they must be congruent. If angle 1 is congruent to angle 3, then the two lines in the middle must also be parallel due to the converse of the corresponding angles theorem. Because the two lines in the middle are parallel, angle 3 must be congruent to angle 2 by the alternate interior angles theorem.

Step-by-step explanation: your welcome

Solve the equation: 3(x−3) + 2x= −49

A.) x= - 8
B.) x = - 2
C.) x = - 40
D.) x= - 50/3

Answers

X = - 8 should be the answer

if two lines lie in the same plane and are perpendicular to the same line they are perpendicular true or false?

Answers

If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.

Parallel lines are those lines in which slopes are the same and the distance between them remains constant.

If a line is perpendicular to another then they will make 90 degrees at the intersection.

So if another line is also making 90 degrees it means both lines must be in the same direction so they will be parallel as given in the image below.

Hence "If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE".

To learn more about parallel lines;

https://brainly.com/question/16701300

#SPJ6

A right triangle is drawn on the coordinate plane.
Apply a dilation with a scale factor of 1 to this triangle and draw the new triangle on the coordinate plane.

Answers

Dilation factor of 1 will increase the size of the triangle by 1 unit in every direction

Simplify (2a+5)6a^2
Can someone help please

Answers

Answer:

12a^3+30a^2

Step-by-step explanation:

6a^2(2a+5)

12a^3+30a^2

how do you graph y= -1/4x + 6? ​

Answers

Answer:

First, you look at the y-intercept. It is positive 6 so you start at 6 on the y-axis. Then you look at the slope. It is negative 1/4. It is negative so the slope goes down and it goes down on the unit and 4 units right. That is how you graph y= -1/4x + 6

help me pls

1) Mrs.Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Graph this system to show the solutions. Label each axis appropriately

2) Mrs.Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+36.
The height of Antonio's rocket after t seconds can be represented by the linear function: p(t)=-2t+20.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.

Answers

Answer:

a) after 12.59 days the revenue will be equal

b) u just have to graph it

the second one is

a) the two solutions are x=4 and x=-4

b) x=-4 is not reasonable because time can’t be negative

c) after four seconds, the heights will be equal

Step-by-step explanation:

After 12.59 days the revenue for each game is the same. The two solutions of the system equation b(t) and p(t) are 4 and -4, and -4 is not a reasonable solution because time never be negative and after 4 seconds the rocket and the ball reach the same height.

1)

Given :

Math Game --   [tex]\rm M(d) = x^2-9x-10[/tex]

Reading Game --   R(d) = 2x + 10

It is given that after 'x' number of days the revenue for each game is the same, that is:

[tex]\rm x^2 -9x-10=2x+10[/tex]

[tex]\rm x^2 -11x-20=0[/tex]

Simplify the above quadratic equation.

[tex]\rm x = \dfrac{11\pm \sqrt{11^2-(4\times -20)} }{2}[/tex]

[tex]\rm x = \dfrac{11\pm \sqrt{201} }{2}[/tex]

x = 12.59 days

So, after 12.59 days the revenue for each game is the same.

The graph of both the revenue function is attached below.

2)

Given :

[tex]\rm b(t) =- t^2-2t+36[/tex]

p(t) = -2t + 20

The solution of this system can be determined by equating both the above function.

[tex]\rm -t^2 - 2t +36 = -2t +20[/tex]

Simplify the above equation.

[tex]\rm t^2 =16[/tex]

t = 4 and -4

a) The two solutions of the system are 4 and -4.

b) -4 is the solution is not a reasonable solution because time never be negative.

c) After 4 seconds the rocket and the ball reach the same height.

For more information, refer to the link given below:

https://brainly.com/question/2263981

need help with this ​

Answers

Answer:

[tex]-5x^2-26[/tex]

Step-by-step explanation:

[tex](f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26[/tex]

please helpp with this!!

Answers

Answer:

a) 83½

[tex]b)n = 4 \frac{1}{3} \: \: or \: \: n = - 4 \frac{1}{3} [/tex]

Step-by-step explanation:

Please see the attached pictures for full solution.

what is the distance from 8 to 0?

Answers

Answer:

8, because |8|=-8

Step-by-step explanation:

Absolute value is always positive, hence the answer.

A triangle has a 90° angle. What type of triangle is it?

Answers

Answer:

Its a right triangle

Step-by-step explanation:

Answer:

It is a right angle.

Step-by-step explanation:

Find the midpoint of (-5,12) and (3,-6)

Answers

Answer:

mid point: (4,5)

hope that helps :)

Step-by-step explanation:

For the first one it’s 3.5 and the second one is -1.5 hope it helps!

what is the anwser for the math problem below
what is 13÷236
PLEASE ANWSER ASAP.​

Answers

Answer: 0.05508474576

Step-by-step explanation:

The large rectangle below represents one whole. A large rectangle with 25 equal sections, 11 of which are shaded What percent is represented by the shaded area?

Answers

fourty four percent hope this helps !

HELP DO ALL IF U CAN SORRY MY CAP ARE ON

Answers

0.07 = 0.07

0.07 > 0.06 (or any number greater than 0.07)

0.07 < 0.08 (or any number less than 0.07)

Answer:

1) 0.07 can only equal 0.07

2) > means greater than, so the answer would be anything greater than 0.07.

3) < means less than, so the answer would be anything less than 0.07.

I hope this helped you out...have an amazing day!! C:

Can someone please help me with this?

Answers

An acute angle would be the correct answer. Explanation: the smaller angles below 90 degrees are acute. Hope this helps have a nice day

Answer:

Acute angle

Step-by-step explanation:

This would be an Acute since it's less the 90 degrees

It wouldn't be complementary since both angles don't add up to ninety

Please help with these two math problems

1. 7^x ÷ 7^y =
2. z^10x^y ÷ z^5 =

Answers

Answer:

  1.  7^(x-y)

  2. z^5x^y

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

1.

  [tex]\dfrac{7^x}{7^y}=\boxed{7^{x-y}}[/tex]

__

2.

  [tex]\dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}[/tex]

What is the greatest common factor of 72 and 2?

Answers

Answer:

the Greatest Common Factor (GCF) of 2 and 72 is 2

plz mark brainliest

Answer: the greatest Common Factor (GCF) is:   2

Step-by-step explanation:

To get the Greatest  Common Factor (GCF) of 2 and 72 we need to factor each value first and then we choose all the copies of factors and multiply them:

*NOTE CAN PLEASE MARK ME AS BRAINLISST PLEASSE

the length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. Find the length and width of the rectangle

Answers

Answer:

Length=9, Width=6

Step-by-step explanation:

First, you need to find out which two number have a difference of 3. Then, you will find the numbers that add up to 30. You know that, if you add 7+7+10+10, it’ll be 34, so if you try 6+6+9+9, the answer will be 30. So your final answer is length=9, and width=6.

Find f(2) if f(x) = (x + 1)2. 9 6 5



I'll give brainiest if right

Answers

Answer:

x=2

Step-by-step explanation:

William must have at least $250 this month. He has already earned $100, how much more
should he earn this month? Use m to represent the amount of money he still needs to eam.

Answers

Subtract the amount he has from the amount he needs:

M = 250 -100

M = 150

He needs to earn$150 more

Answer:250-100=150

Step-by-step explanation:

Can someone help me??

Answers

Answer:

the answer is 100% d I'm sure

Answer:

$1.17

Step-by-step explanation:

change = 20 - (3.99(3) + 2.99(1) + 3.09(1) + 0.78)

            = 20 - (11.97 + 2.99 + 3.09 + 0.78)

            = 20 - 18.83

            = 1.17

Other Questions
For Sara's birthday trip, she and her friends are renting a beach condo. The cost perperson for the condo and gas can be found using the function c=56+9p. What is areasonable range for this situation if there are at least 5 people but no more than 10that can attend?{101, 110, 119, 128, 137,146}5 101 = y = 146{5, 6, 7, 8, 9, 10} The triangles below are similar. Find DE. If necessary, round 2 decimal places. How cab yout knowledge about solutions help improve health or the quality of life? In what practical way can you use your knowledge about it? Jared has trouble remembering when his assignments are due, and he wants to keep reminders on his computer. Which online note-taking tool would be the best one to use? web clipping tools electronic flash cards electronic sticky notes online data storage sites The Second Continental Congress established a post office with BenjaminFranklin in charge Menciona dos palabras relacionadas con el banco y dos palabras relacionas con el correo relacionadas con un verbo. find the product. -x^3yz^27xy^3 MatchAnita Newcomb McGeeDr. Hermann M. BiggsAfter convincing her husband to create the U.S. Office of Civil1. Defense, she supported the efforts of the American RedCross to create a civilian nursing corps.Hired the first public health nurses in New York City to work2. with the residents of crowded tenements, directing them tomedical care, and providing basic health education,Started the first nursing program that was built on a3. curriculum of evidence-based instruction and clinicalpractice.Worked on developing the criteria for the first army nurses to4. be hired by the government to treat injured soldiers duringthe Spanish-American War,Eleanor RooseveltFlorence Nightingale Westview High School administrators are looking to find the number of teens at their school that have used a vaping product during the previous school year. The school contain 2,256 students. Out of those students a random sample of 89 students are interviewed of which 24 had used a vaping product at least once. The who in this study is Solve the following system of equations.(15 Points)x + 3y = -5 & 5y - 10 = -20x What statement is correct about the polarity of a water molecule? Convergent or divergent? When the world has two super powers, the world is? Whats the difference in concentration of hydronium Ions between pH1 and pH4? a) x 2.6 b) x 1000c) x 4d) x 10 please i need some answers idk any of this and i need to turn it in soon lol Mis hermanos y yo _(9)_ simpticos y muy buenos amigos. Todos nosotros _(10)_el pelo (hair) moreno y (11) altos. Mi hermano Pedro y mi hermana Catalina(12) estudiantes y asisten a clases en la universidad estatal de Arizona. Ellos(13) muy nerviosos porque sus exmenes finales _(14)_ la semana que viene(next week). Luego, ellos _(15) a casa a pasar su descanso de Navidades. Pedroestudia medicina porque _(16)_ muchas ganas de _(17) mdico como nuestropap. Catalina estudia informtica porque ella quiere _(18) programadora; ella(19)_ mucho inters en todo lo tecnolgico. Yo (20) estudiante del institutopero pienso estudiar biologa en la universidad en dos aos. Tambin pienso_(21) mdico como mi pap.Yo _(22) una familia estupenda. Quieres _(23)_ a Arizona un da a conocerlos(to meet them)?i need help filling in the blanks What is the equation of the line that passes through the point (-2,7) and is perpendicular to the line 2 - 4y = 24? 2. Which of the following did not play a part in the fight for the rights of African American men?The Fifteenth AmendmentThe Civil Warthe civil rights struggleThe Nineteenth Amendment At the beginning of July, Kim had a mass of 63 kg.At the end of July, his mass was 61 kg.Calculate the percentage loss in Kim's mass. Sand is made of different types of rocks. The shapes and sizes are not all the same. Sand is a ----?