1) Find the length of point A(-3,1) and B(2,6). Leave your
answer in RADICAL FORM ONLY.

Answers

Answer 1

Answer: The length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .

Step-by-step explanation:

We know that the distance between the two points (a,b) and (c,d) is given by :-

[tex]d=\sqrt{(a-c)^2+(b-d)^2}[/tex]

Given points = A(-3,1) and B(2,6)

Therefore the distance between the points A(-3,1) and B(2,6) is given by :-

[tex]d=\sqrt{(-3-2)^2+(1-6)^2}\\\\\Rightarrow\ d=\sqrt{(-5)^2+(-5)^2}\\\\\Rightarrow\ d=\sqrt{25+25}\\\\\Rightarrow\ d=\sqrt{50}\\\\\Rightarrow\ d=\sqrt{25\times2}\\\\\Rightarrow\ d=\sqrt{5^2\times2}\\\\\Rightarrow\ d=5\sqrt{2}\text{ units}[/tex]

Hence, the length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .


Related Questions

Which of the following is true for the statement "7 is an odd number"? Question 5 options: A) It's both an open and closed statement. B) It's an open statement. C) It's a compound statement. D) It's a closed statement.

Answers

Answer:

Answer is C It's a compound statement

Step-by-step explanation:

Hope this helps!

Good luck!

Answer:

anser is C

Step-by-step explanation:

The radius of a circle is 9 ft. Find its area in terms of pi

Answers

Answer:

81pi square feet

Step-by-step explanation:

Area of circle is pi*r^2

= 81pi

Answer:81 pi ft^2

Solution,

Radius=9 ft

Area of circle= pi*(r)^2

=pi*(9)^2

=81 pi ft^2

Hope it helps

Good luck on your assignment

What is the area of the parallelogram? 144 in² 72 in² 50 in² 25 in²

Answers

Answer:

A = 144 in ^2

Step-by-step explanation:

To find the area

A = l*w

A= 9*16

A = 144 in ^2

Simply multiply the width (9) by the height (16) to get 144 inches squared.


At an ice cream shop, the profit, P(c), is modeled by the function P(c) = 0.87c, where c represents the number of ice cream cones sold. An appropriate domain for this function is
please help!!​

Answers

Answer:

2. an integer > 0

Step-by-step explanation:

At an ice cream shop, the profit, P(c), is modeled by the function ;

P(c) = 0.87c. An appropriate domain for this function is an integer [tex]\geq[/tex] 0.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

At an ice cream shop, the profit, P(c), is modeled by the function ;

P(c) = 0.87c,

where c represents the number of ice cream cones sold.

An appropriate domain for this function is an integer [tex]\geq[/tex] 0.

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Susanna is buying lunch for her friends at a restaurant the bill is $50 and she wants to leave an 18% tip P equal the total amount of Suzanne is P which equation can you use to find P

Answers

Hope I helped you

And also rate it if it helps

4x - 2y = -2 6x + 3y = 27

Answers

Answer:

Step-by-step explanation:

4x - 2y = -2   ------------------(I)

6x + 3y = 27 ------------------(II)

Multiply (I) by 3 & multiply (II) by 2

(I)*3           12x - 6y = -6

(II)*2          12x + 6y = 54  { Now add &  y will be eliminated}

               24x          = 48

 x = 48/24

x = 2

Plugin the value of x in equation (I)

4*2 - 2y = - 2

8 - 2y = -2          {subtract 8 from both side}

-2y = -2 - 8

-2y = -10   {Divide both sides by -2}

y = -10/-2

y = 5

 

PLEASE HELPPPP


A spherical mold is used to create chocolate candy. What is the volume of the mold?

Leave answer in terms of pi.

Answers

Answer:

1774.67π mm³

Step-by-step explanation:

Please find attached to this question, the required diagram.

From the question, we are told we have a spherical mold.

We would find the volume of a spherical mold using the formula for the volume of a sphere.

The volume of a sphere is calculated as : 4/3πr³

From the attached diagram, we are given the Diameter do the spherical mold as: 22mm

Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm

The volume of the spherical mold = 4/3 × π × 11³

= 1774.6666667π mm³

Approximately and leaving it in terms of pi (π)= 1774.67π mm³

brainlist and thanks if correct answer is screen shot

Answers

We can multiple the 2 to the other side making y = 8/10 which can be reduce to 4/5

Answer:

y = 8/5

Step-by-step explanation:

y /2 = 4/5

Multiply each side by 2

y/2 * 2 = 4/5 *2

y = 8/5

Suppose a telephone poll is conducted by contacting U.S. citizens via landlines about their view of gay marriage. Suppose over 50% of those called do not support gay marriage. Does that mean that you can say over 50% of all people in the U.S. do not support gay marriage? Explain.

Answers

Answer:

No

Step-by-step explanation:

The only people who were contacted were those with a landline, which is not the entire U.S. Because of the cell phone, there are many in the U.S. who do not own a landline, so this does not represent the entire U.S. population.

If over 50% said they do not support gay marriages then yes you can say that because it is factually correct. If the facts were less than 50% you could NOT say that because it is not factually correct. If EXACTLY 50% said they do not support then you would say neither more or less than 50% because it would not be factually correct.

PLEASEEE HURRY!!
Evaluate the expression 3c (−2) d (−4) for c = 3 and d = 4. the number in parenthesis are exponents.

Answers

Answer:

288

Step-by-step explanation:

In the given expression, we can replace the given values for c and d

Since c is 3 and d is 4,

3c(-2)d(-4)

After substituting we multiply:

= 3*3*-2*-4*4

= (9)(-2*-4)*4

Two minuses become positive

So it'll be,

9*8*4

= 288

Here's ur answer

Based on the formula that you developed in question 3, what is the area of the circle? How do you know your answer is correct? Explain.

Answers

The area of a circle is π(r^2)

Answer:

πr2

Step-by-step explanation:

The shape changed, but the amount of space inside the shape remained the same. The space inside the parallelogram is the same as the space, or area, inside the circle. The area of the circle is 0.5 × circumference × radius = πr2.

Solve for x in the diagram below.

Answers

Answer:

x = 34

Step-by-step explanation:

The 3 labeled angles create a straight line, so that means they will add up to 180°.

(x + 12) + 100 + x = 180

2x + 112 = 180

Subtract 112 from both sides.

2x = 68

Divide both sides by 2.

x = 34

The value of x in the figure is, 34.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We know that;

A straight line make an angle 180°.

Hence, By the figure we get;

⇒ (x + 12)° + 100° + x° = 180°

⇒ x + 12 + 100 + x = 180

⇒ 2x + 112 = 180

⇒ 2x = 180 - 112

⇒ 2x = 68

⇒ x = 34

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what is the missing justification ?

Answers

Answer:C



Explanation:Symmetric property

A fair spinner has four colors: red, blue, yellow, and green. What is the probability of spinning red,
then blue?
Leave your answer in fraction form lowest terms.

Answers

Answer:

1/4

the fair spinner has four colors.

1.red

2.blue

3.yellow

4.green.

and red is 1 . Total number of outcome is 4.

Answer:

the sum is 1

Step-by-step explanation:

right on edge

Rachelle is watching a bug crawl toward her on a sidewalk. As the bug gets closer to her, she stomps her foot to startle the bug, which becomes stationary for some time and then crawls away from her quickly. The graph shows the bug's distance from Rachelle.

What is the range of the graph?
please help this depends on my grade

Answers

Answer:

D) 100 ≤ y ≤ 400

Step-by-step explanation:  

Plato

Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right angles.


Can you conclude that triangle GHF is congruent to triangle GJK? Explain.



yes, by ASA


yes, by AAS


yes, by AAA


not enough information given



the answer is D

Answers

Answer:

D.) not enough information given

Step-by-step explanation:

It is 100% correct on Edgeunity June 2020

Option A.  yes by ASA is correct.

Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right angles.

What are Similar triangles?

Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.

Since we have one angle FHG and angle KJG and one side from both triangle HG = GJ equal
so the angle opposite to equal side must be equal. i.e.
Angle HFG = Angle JKG
hence , triangle is congruent by ASA

Thus, Option A.  yes by ASA is correct.

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у= 6x - b
—3х +1/2y= -3

Answers

Answer:

You have to use the subsitution method

Step-by-step explanation:

so it's telling you what the y value is an you have to subsitute 6x-b where the y is.

so the new eqaution would be -3x+1/2(6x-b)=-3

-3x+3x-b=-3

-b=-3

b=3

the b is the in y=x+b

PLEASEEEE ASAP I NEED HELP Drag the tiles to the correct boxes to complete the pairs.
Match the one-to-one functions with their inverse functions.
f(x)=3-17
f(x) = 1-10
fix)= 322
f(x) =
Inverse Function
Function
$-+()=56
s-lis) =
1-1(x)=1+10
311 +17)
(140) =

Answers

Answer:

in order to right to left

Step-by-step explanation:

4th

3rd

2nd

1st

The required functions are obtained as f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.

What is the inverse of a function?

The inverse of a function y = f(x) is defined as a function having range as the domain of the function f(x) and domain as the range. Mathematically it can be written as f⁻¹(y) = x which implies that f⁻¹(f(x)) = x.

The given problem can be solved as follows,

(a) f⁻¹(x) = 5x

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = 5f(x)

=> x = 5f(x)

=> f(x) = x/5

(b) f⁻¹(x) = x³/2

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = f(x)³/2

=> x = f(x)³/2

=> f(x) = ∛(2x)

(c) f⁻¹(x) = x + 10

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = f(x) + 10

=> x = f(x) + 10

=> f(x) = x - 10

(d)  f⁻¹(x) = 3( x + 17)/2

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = 3( f(x) + 17)/2

=> 2x = 3( f(x) + 17)

=> 2x/3 = f(x) + 17

=> f(x) = 2x/3 - 17

Hence, the functions for the given inverse functions are  f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.

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A triangle has side lengths 3.4 cm, 4 cm, and 5.2 cm. The angle measures are 40°, 50°, and 90°.

What type of triangle is this triangle?


acute scalene

right isosceles

acute isosceles

right scalene

Answers

Answer:

right isosceles I'm pretty sure

The solution is Option D.

The triangle is a right scalene triangle

What is a Scalene Triangle?

A scalene triangle is a type of triangle with three different length sides and three interior angles that add up to 180 degrees. Scalene triangles have no equal of parallel sides , hence there is no line of symmetry. The interior angles of a scalene triangle can be acute , right or obtuse angles.

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

The measures of the sides of the triangles are 3.4 cm , 4 cm and 5.2 cm

The measures of angles of triangle are 40°, 50°, and 90°

Since the triangle is having all its length and sides different , it is a scalene triangle

Now , For a right angle triangle

hypotenuse² = base² + height²

( 5.2 )² = ( 3.4 )² + ( 4 )²

( 5.2 )² = 11.56 + 16

( 5.2 )² = 27.56

Hence , the triangle is a right scalene triangle

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Find the value of x in each case. Give reasons to justify your solutions!

H∈ IG

Answers

Answer:

x = 24°

Step-by-step explanation:

Lines JH and EG are the parallel lines and HF is a transverse.

∠JHF ≅ ∠HFE [Interior alternate angles]

m∠JHF = 2x

Since, m∠JHF = m∠JHG + m∠FHG

2x = m∠JHG + x

m∠JHG = 2x - x = x

Since m∠JHI + m∠JHG = 180° [Supplementary angles]

156° + m∠JHG = 180°

m∠JHG = 180 - 156

m∠JHG = 24°

x = 24°

Therefore, x = 24° will be the answer.

If you were to measure a person once a year, every year, from the ages of ten to twenty-five, would your ordered pairs
of age and height represent a function?
Ono
yes

Answers

Answer:

yes :) most ordered pairs would be a function.

Answer:

yes

Step-by-step explanation:

Most functions are already ordered pairs.

Find the ratio that is equivalent to 10:5.
OA) 15:5
OB) 5:10
OC) 2:1
OD 5:1

Answers

Answer:

OB) 2:1

Step-by-step explanation:

5 can go into 10 twice and 5 can go into itself once

Answer:

2:1

Step-by-step explanation:

10:5= 2:1

If you divide both numbers by 5:

10/5:5/5  it equals to 2:1

Sally scored 750 points on a video game.
She wants to round the number to the nearest hundred.
Which statements are true? Choose all that apply.
A.
750 is closer to 800 than to 700.
B.
750 is closer to 700 than to 800.
C.
750 is halfway between 700 and 800.
750 rounds to 700.
E.
750 rounds to 800.​

Answers

Answer:

E. 750 rounds to 800

Step-by-step explanation: first thing is to look at the tens value, numbers 1-4 get rounded down and numbers 5-9 get rounded up.

Answer:

E.  750 rounds to 800.​

Step-by-step explanation:

750 is halfway between 700 and 800, but when rounded to the nearest hundred, 750 is 800.

the _______ is the process of adding interest to the capital during specific periods indicated​

Answers

The congressional Record is the process of adding interest to the capital during specific periods indicated.

A rectangular prism has a volume of 720 cubic units. How many unit cubes would fill the volume of the solid if they were packed without any gaps or overlaps?

Answers

Answer: 720 I think

Step-by-step explanation: Because if there are 720 cubic units, you can only fit 720.

There will be 720 cubes of side 1 unit that fill the prism if they were packed without any gaps or overlaps.

What is volumes?

Volume is defined as the space occupied within the boundaries of any three-dimensional solid.

Given that, a rectangular prism has a volume of 720 cubic units, we need to find that, how many unit cubes would fill the volume with the solid if they were packed without any gaps or overlaps,

So, to find the same, we will divide the volume of the prism by the cube.

Volume of the cube = side³ = 1³ = 1

Therefore, number of cubes to be fitted = 720 / 1 = 720

Hence, there will be 720 cubes of side 1 unit that fill the prism if they were packed without any gaps or overlaps.

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I REALLY NEED HELP YALL LIVES DEPEND ON IT!! plz help (ASAP )

Answers

Answer:

53%

49%

1 2

Step-by-step explanation:

540 / (540+470) = 0.5346

452 / (470+452) = 0.4902

Digital downloads of Album 1 :

470 / (540+470) = 0.4653

Digital downloads of Album 2 :

452 / (571+452) = 0.4418

(would really, reallly appreciate the brainliest)

A triangle with angles of 30, 60, and 90 degrees is drawn. Could all three side measures be the same length? Explain. PLEASE HELP!

Answers

Answer:

No they would not because they are all different angles but if they were all the same numbers than yes so this triangle is a scalene that has no angles that are the same

pls help asap!!!
Find the probability of being below 514 if the mean of a normal distribution is 474 and the standard
deviation is 32.

Answers

Answer:

Step-by-step explanation:

Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 474

σ = 32

x = 514

The probability of being below 514 is expressed as P(x < 514)

For x = 514,

z = (514 - 474)/32 = 1.25

Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89

Therefore,

P(x < 514) = 0.89

What is the domain?!

Answers

Answer:

x is equal to or greater then 3

Step-by-step explanation:

Answer:

X is equal to or greater than 3

Step-by-step explanation:

In the graph the curved arrow is pointed to the numbers below the line in the graph chart. Brainliest?

Micah is buying gravel for a tock garden that will be
edged by a circuar metal border. She will use 110 feet of
metal edging for the border. What is the area of the
garden? Use 3.14 for pi.​

Answers

Answer:

Area= 15,414.0127

Step-by-step explanation:

See picture attached

Other Questions
Select the correct answer.Which of these sentences has correct parallel structure?A.Erica likes swimming, baking, and to read.B.Erica likes to play tennis, hike, and to play guitar.C.Erica likes jogging, hiking, and reading.D.Erica likes to sing, to dance, and play the guitar. Zachary Manufacturing Company has an opportunity to purchase some technologically advanced equipment that will reduce the companys cash outflow for operating expenses by $1,287,000 per year. The cost of the equipment is $9,187,846.67. Zachary expects it to have a 11-year useful life and a zero salvage value. The company has established an investment opportunity hurdle rate of 15 percent and uses the straight-line method for depreciation. (PV of $1 and PVA of $1) (Use appropriate factor(s) from the tables provided.) Required:a. Calculate the internal rate of return of the investment opportunity. (Do not round intermediate calculations.)b. Indicate whether the investment opportunity should be accepted.1. 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A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let ? = 0.05What is the test statistic for this test? Which of the following situations represents a multiplicative relationship with a unit rate of 0.5?On her diet, Mrs. Jackson lost 5 pounds every month. Mila eats 12 cup of yogurt every day. Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home. Manuel has 5 pet turtles. He hopes to add a new turtle to his reptile habitat each month. Which statement best expresses the theme of the passage? It is important to recognize a dictatorship before it is too late. Maintaining physical strength is imperative in a dictatorship. Being a leader means making difficult decisions. There is nothing anyone can do to stop a dictator. Given: F(x) = x + 2 and G(x) = 3x + 5(F*G) (x) = Why do your legs appear shorter when standing in water How are all courts except the U.S Supreme Court established Unscramble the country:1.auprglot2.ocsacei3.isega4.rgeilrnrata Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form.Shown below are four studentresponses.Anne: 7x^7 + 6x^5 3x^3 + 8xBob: -3x^3 + 6x^5 + 7x^7 + 8xCarrie: 8x + 7x^7 + 6x^5 3x^3Dylan: 8x - 3x^3 + 6x^5 + 7x^7Which student is correct? giving brainlist please hurry Read the paragraph.The schoolwide food drive is an important program that helps the community and instills a sense of responsibility in students. Last year, students collected over 600 canned goods and gave them to the Neighborhood House food pantry, which serves some of the neediest families in our community. Furthermore, many students said that helping with the drive was the first volunteer program they had ever participated in. Finally, without the student councils support, the food drive will not be officially promoted within school and will likely languish. Therefore, it is imperative that the student council continue to encourage students to volunteer for this important program.What answer makes the best additional evidence to support the authors reason?A poll of one hundred students found that after participating in the food drive, seventy-three participants found the experience so rewarding that they sought out new volunteer opportunities.My friend Alvin participated in the food drive and said not only was it the best part of the school year, but he looks forward to helping out with the food drive next year.We can definitely beat our previous goal of six hundred cans by both encouraging additional students to join the program and offering prizes for students who collect the most cans.The student council needs to take a leadership role and promote the food drive so that all students, regardless of their previous volunteer experience, become active participants. 4.8310^5 as an ordinary number The Sleeping-Barber Problem:A barbershop consists of a waiting room with n > 0 chairs and the barber room containing the barber chair. If there are no customers to be served, then the barber sleeps. If a customer enters the barbershop and all chairs are occupied, then the customer leaves the shop. If the barber is busy but chairs are available, then the customer sits in one of the free chairs. If the barber is asleep, then the customer wakes up the barber and the shaving process begins. After they finish, the customer leaves and the barber start shaving another customer, if there are any in the waiting room. Otherwise he goes to sleep. If there is an 8.5% tax on a $30 sweater, what is the tax amount?