What is the distance between these points

What Is The Distance Between These Points

Answers

Answer 1
DISTANCE

The formula in finding the distance between two points is given below:

[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]

Now, you know the distance formula. So, let us try solving the given problem using the distance formula.

Problem: What is the distance between (-5, -5) and (-9, -2)?

From inspection on the given problem:

[tex]\sf (x_1, y_1) = (-5, -5)[/tex][tex]\sf (x_2, y_2) = (-9, -2)[/tex]

Substitute the given values into the distance formula and solve for d:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]\sf d = \sqrt{[-9 - (-5)]^2 + [-2 - (-5)]^2}[/tex]

[tex]\sf d = \sqrt{(-4)^2 + (3)^2}[/tex]

[tex]\sf d = \sqrt{16 + 9}[/tex]

[tex]\sf d = \sqrt{25}[/tex]

[tex]\bold{d = 5 \: units}[/tex]

Therefore, the distance between two points is 5 units.

[tex]\\[/tex]

Now, wasn't that easy? Try this sample problem:

Find the distance between P(1, 3) and Q(7, 11).

From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.

For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437


Related Questions

I NEED HELP NOOOOOWWWW!!!!!!!!

Answers

Answer: [tex]1590cm^3[/tex]

Step-by-step explanation:

[tex]V=\frac{3\sqrt{3} }{2}a^2h[/tex]

a = base

h = height

[tex]V=\frac{3\sqrt{3} }{2}(6cm)^2(17cm)[/tex]

Solve the parentheses squared first.

[tex]V=\frac{3\sqrt{3} }{2}(36cm^2)(17cm)[/tex]

2 and 36 can be simplied

2/2=1

36/2=18

[tex]V=3\sqrt{3}(18cm^2)(17cm)[/tex]

[tex]V=3\sqrt{3}(306cm^3)\\ V=1590.02cm^3[/tex]

Rounded to the nearest whole number... [tex]1590cm^3[/tex]

Real World Problems with Rational Numbers
26
Directions: Drag each point to the correct location on the number line.
Jean climbed 3 of the distance to the top of the cliff as shown on the number line. Terry climbed 3 of the distance less than Jean.
Steve climbed 5 of the distance more than Jean. Drag the points to the correct locations on the number line.
Terry
Steve
1

Answers

Answer:

aiaavaobsoavvdiabajiaveoaveugwviaoqjavdjoagw

Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own
little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?

Answers

Answer:

  512

Step-by-step explanation:

You can figure this a couple of ways.

1) Figure the number of muffin boxes that goes into each dimension of the larger box:

  (2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.

Then the total number of muffin boxes that will fit in a larger box is ...

  8×8×8 = 512

512 muffin boxes can fit into the larger box.

__

2) The volume of a muffin box in cubic feet is ...

  ((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3

The volume of a larger box in cubic feet is ...

  (2 ft)^3 = 8 ft^3

Then the number of smaller boxes that will fit in the larger box is ...

  (8 ft^3)/(1/64 ft^3) = 8×64 = 512

512 muffin boxes can fit into the larger box.

One side of a rectangle is 7 inches long. Another side of the rectangle is 19 inches long. What are the lengths of the other 2 sides of the rectangle?

Answers

Answer:

7 and 19 its a rectangle so it has 2 congruent sides

Step-by-step explanation:

Which of the following describe the growth rate of the exponential function in the graph below?

Answers

Answer:

B)

Step-by-step explanation:

Let's check each answer:

A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead

B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)

C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.

D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.

Therefore, the correct answer is B.

Answer:

Its B :)

Step-by-step explanation:

I j took the unit quiz lol

What would be the value of x in x+5=-3x-9

Answers

-3 because it shows the value right there

Answer  -3

Step-by-step explanation:

Round off 9852 to 1 significant figure

Answers

Answer:

10000

Step-by-step explanation:

9852

Means we are rounding to the thousands place

We look at the hundreds place

8 is greater than or equal to 5 so we round the thousands place up

9 becomes 10

9852 becomes 10,000

Answer:

Step-by-step explanation:

10000

A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 7pi/12. The graph of the function does not show a phase shift. What is the equation of the cosine function described?

Fill in the blanks using values from this list: -20, -11, -9, -2, 2, 9, 11, 20, 7pi/12,12pi/7,7/24,24/7

f(x)=___cos(_____x)______

Answers

We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,

A = Amplitude,

[tex]\frac{2\pi}{b}[/tex] = Period,

c = Horizontal shift,

d = Vertical shift.    

The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].

Let us find the value of b.

[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]

[tex]7\pi\cdot b=24\pi[/tex]

[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]

[tex]b=\frac{24}{7}[/tex]

Upon substituting our given values in general cosine function, we will get:

[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]

Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].

Please answer.....................................

Answers

Answer:

1.25 + r = 4

1.25 - 1.25 + r = 4 - 1.25

r = 2.75

first option is the answer

Step-by-step explanation:

1. subtract 1.25 from both sides

How do you remove all perfect squares from inside the square root - 108

Answers

Answer:

6dquare 2

Step-by-step explanation:

The square root of 108 in radical form is 6√(3). In general, to find √(a) in radical form, when a is not a perfect square, we use the.

Solve the following quadratic equation: (x-16)^2= 256

Answers

Simplifying
(x + -16) * 2 = 256

Reorder the terms:
(-16 + x) * 2 = 256

Reorder the terms for easier multiplication:
2(-16 + x) = 256
(-16 * 2 + x * 2) = 256
(-32 + 2x) = 256

Solving
-32 + 2x = 256

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + 2x = 256 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = 256 + 32
2x = 256 + 32

Combine like terms: 256 + 32 = 288
2x = 288

Divide each side by '2'.
x = 144

Simplifying
x = 144

Answer:

x = 32 or x = 0

Step-by-step explanation:

(x - 16)² = 256

Expand and simplify the equation.

x² − 32x + 256 = 256

Subtract 256 from either side of the equation.

x² − 32x + 256 − 256 = 256 − 256

Simplify the equation.

x² - 32x = 0

Factor and set the factors to 0.

x = 0 or x = 32

The answer is x = 0 or x = 32.

I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.

Good luck ^^

does anyone know the answer to this ?please

Answers

Answer:B

Step-by-step explanation:

A rectangular playground is 10m longer than it is wide.The area of the playground is 1400m² Calculate the width and length of the playground. solve using quadratic formula please?

Answers

Answer:

[tex] 1400 = x(x+10)= x^2 +10x[/tex]

We can rewrite this expression like this:

[tex] x^2 +10 x -1400 =0[/tex]

And we can use the quadratic formula given by:

[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Where [tex] a =1 , b=10 , c= -1400[/tex]

And replacing we got:

[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]

And solving we got:

[tex] x_1 =32.75 , x_2 = -42.75[/tex]

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

Step-by-step explanation:

For this case we know that we have a rectangular playground and the area can be founded with this formula:

[tex] A = xy[/tex]

Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:

[tex] y = 10 +x [/tex]

And replacing this formula into the area we got:

[tex] 1400 = x(x+10)= x^2 +10x[/tex]

We can rewrite this expression like this:

[tex] x^2 +10 x -1400 =0[/tex]

And we can use the quadratic formula given by:

[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Where [tex] a =1 , b=10 , c= -1400[/tex]

And replacing we got:

[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]

And solving we got:

[tex] x_1 =32.75 , x_2 = -42.75[/tex]

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

Answer:

Step-by-step explanation:

Given Data:

Area = 1400m²

L = 4+w

W= w

Area = L * W

1400 = ( 4+W) W ²

1400 = 4w + w ²

w ² + 4w - 1400 = 0

- b ± √ b ² - 4ac / 2a

Where;

a = 1

b = 4

c = -1400

- 4 ± √4² - 4(1)(-1400) / 2(1)

= - 4 ± 74.94 /2

= - 4 + 74.94 / 2 or - 4 - 74.94 / 2

= 35.47 or - 39.47

Idk what it is plz help me

Answers

Answer:

1) Starting height is 6.25

2) after 20 years it would be 30

1.25(20)=25+5=30

3) 76 years

Answer:

a) 5 feet

b) 30 feet

c) 76 years

Step-by-step explanation:

a) 5 feet. If t is 0, it'll still be 5 feet

b) 30 feet

1.25*20+5=

25+5=

30

c) 76 years

100 = 1.25t+5

1.25t=95

t=76

Rhonda used unit cubes to make a rectangular prism. What is the volume of the prism? Prism with length as 7 unit cubes, height as 3 unit cubes and width as 2 unit cubes. A. 14 cubic units B. 21 cubic units C. 42 cubic units D. 63 cubic units

Answers

Answer:

42 cubic units

Step-by-step explanation:

A rectangle prism formula is V = l x h x w.

The length is 7

The height is 3

The width is 2

Then multiply 7, 3, and 2 together (7 x 3 x 2) = 42

The volume of the Rhonda rectangular prism will be 42 cubic units thus option (C) is correct.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the rectangular prism is given as,

V = length × height × width

Put length as 7 unit cubes, height as 3 unit cubes, and width as 2 unit cubes.

V = 7 x 3 x 2 = 42 units³.

Hence "The Rhonda rectangular prism will have a volume of 42 cubic units".

To learn more about volume,

https://brainly.com/question/1578538

#SPJ5

Which of the following values is a solution to the inequality? 12 – 5x > -8

Answers

Answer:

x < 4

Step-by-step explanation:

12 – 5x > -8

Subtract 12 from each side

12-12 – 5x > -8-12

-5x> -20

Divide each side by -5, remembering to flip the inequality

-5x/-5 < -20/-5

x < 4

There are 197 oak trees in the park. There are 27 more pine trees than oak trees in the park how many trees are there in all

Answers

just add.................

197 + 27 = 224

hope this helps

Yeah.. the answer is 224

The combustion of 0.25 mol of an unknown
organic compound results in the release of 320 kJ
of energy. Which of the compounds in the table
could be the unknown compound?

Answers

Answer:

ethanol

Step-by-step explanation:

The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.

The enthalpy of combustion of the unknown compound is

ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol

To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,

e% =  ( | ΔHx - ΔH | / ΔHx ) x 100%

where ΔHx is the enthalpy of combustion of the probable compound.

The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol

Compound Enthalpy of combustion (kJ/mol)   Deviation

Methane                        - 890.7                                 43.8%

Ehylene                         -1411.2                                   9.3%

Ethanol                        -1368.6                                    6.5%

According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.

Read more on Brainly.com - https://brainly.com/question/12081414#readmore

Answer: ethanol

Step-by-step explanation:

Got it right on edge

Find the volume *
5 in
12 in
7 in

Answers

Answer:

420

Step-by-step explanation:

multiply them by each other

Answer:

420 square inches

Step-by-step explanation:

(5x12)x7=?

12x5=60

60x7=420

(5x12)x7=420

Hope this helped!

Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.

Answers

Answer:

A B E

Step-by-step explanation:

A- w less-than-or-equal-to 3.6

B- The arrow points left.

E- There is a closed circle at 3.6.

Answer:

A B E

Step-by-step explanation:

A soda manufacturer knows that sales of soda increase during the summer. To make sure that they get a large portion of the sales, they decide to offer a contest throughout the spring. The contest is pretty simple: when you open your bottle of soda, if it says, “You win!” under the cap, you get another bottle of their soda for free. The chance of winning a free soda is 1 in 12. Lucky Lucy bought five sodas and won a free one with four of the caps. What’s the probability of that happening? Theoretically, how many sodas would you have to buy before having a greater than 50% chance of winning a free soda?

Answers

Answer:

a.) Probability = 1/5

b.) 10 soda

Step-by-step explanation:

Probability is a game of chance.

The initial chance = 1/12

If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5

Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,

Probability > 1/2

You would have to buy (12 - 2) soda. Which is equal to 10.

what is a measure of an angle between the perpendicular
bisectors of two adjacent sides of a regular polygon 3
Sides ?​

Answers

Answer:

2/5*180=72

360/72=5

as simple as that you just need to read on polygons

Step-by-step explanation:

pls give me brainlyist

Solve the long division

Answers

Answer:

1. 158

2. 120.125

3. 148.6

4. 158.6

Step-by-step explanation:

You divide the number inside by the number outside

pls help asappp you will get brainliest

Answers

Answer:

32 units.

Step-by-step explanation:

look up a picture of a 306090 triangle, it will make sense :)

Answer:

32

Step-by-step explanation:

cos 30 = [tex]\frac{\sqrt{3} }{2}[/tex]

[tex]\frac{\sqrt{3} }{2}[/tex] = 16[tex]\sqrt{3}[/tex] / n

n = 16[tex]\sqrt{3}[/tex] * [tex]\frac{2}\sqrt{3} }[/tex]

n = 32 units

Use a proportion to convert 32 fluid ounces to cups. [Hint: Use the conversion factor 8 fl oz = 1 c.]

Answers

Answer:

4 cups

Step-by-step explanation:

in order to convert 32 ounces into cups, you must divide 32 by 8. this will give you 4, your answer.

If this helps, please mark me brainliest. :)

Answer:

4 cups

Step-by-step explanation:

32/x = 8/1

8x = 32

x = 4

DESPERATE GEOMETRY HELP!!!

Answers

Answer:

b. 3

Step-by-step explanation:

pi * r^2 * h = 162 pi

plug in 18 ft for h

pi * r^2 * (18) = 162 pi

simplifies to r^2 = 9

r=3

y−5/3 = 4/5

HELP ME!!

Answers

Answer:

Y=37/15

Step-by-step explanation:

Y=5/3+4/5

Y=(25+12)/15

Y=37/15

Hope you understand

Which table represents a linear function?

Answers

Answer:  C

Step-by-step explanation:

when x increases by 1 y increases by 2 and is consistent

hope this helps :3

Anyone understand how to do this?

Answers

Answer:

f ( x ) = - 2x^2 + 3x + 1

Step-by-step explanation:

If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;

− ∞  < x < ∞, while y > − ∞

Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;

If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;

Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2

Mariam bought 8 gallon of gas for $31.12. How much would she pay for 11
gallons of gas at this same rate?

Answers

Answer:

$42.79

Step-by-step explanation:

Divide $31.12 by 8 to get how much money you pay for 1 gallon and multiply it by 11 to get how much to pay for 11 gallons.

Other Questions
Find the following trigonometric values.Express your answers exactly.cos(315) =sin(315)= WHY is this football player wearing an oxygen mask? what is the importance of oxygen here? What is he trying to avoid by wearing the oxygen mask? The fact that Mrs. Patrick now resides in a life-saving station is an example ofA)allusion.B)hyperbole.C)irony.D)paradox. ?why would japan be threatened by North Korea being under U.S. control? Which statements about mutations are true? Check all that apply.A. Mutations cannot be passed from generation to generation.B. Mutations are rare.C. Mutations are always harmful.D. Germline mutations occur in body cells.E. Most forms of cancer are caused by somatic mutations. PLEASE HELP!! Would you expect to find many fluorescent organisms in the very deep ocean? Why or why not? What are the land issues and access of Taiwan? x-1/2*1/8=1/8 Find the value of x. James rented a car for 4 days plus $0.25 per mile. He took the collision waiver for $19.95 per day. He drove the car 352 miles. Gasoline cost $41.38. What was the total cost of renting the car?1 point$61.58$149.33$413.33$209.18 Statement A Julie makes cookies in her kitchen. A lot of people tell her they taste really good so she decides to sell them on her street corner for $2.00 each. Statement B Jack runs a restaurant where he only serves tacos for $2,000.00 The city decides they cost too much and shuts his restaurant down. Which statement above accurately reflects the free enterprise system? a Statement A b Statement B HELP ME PLEASE SHOULD I POST ALL OF THEM? Label the points on the graph to illustrate implementation of the minimum wage.quantity of laborminimum wage price of labor supply of labordemand for laborthis was the answer: Solve for x. = 18x = -2x = 2x = 14 Work out x most dedicated not rushed gets brainiest The function f(x) and g(x) are graphed below. If g(x)=f(x+k) what is the value of k? 14. Given the lengths of the sides of a triangle, which of the following is a righttriangleTriangle A: 10, 12, 15Triangle B: 3,4,5Triangle C: 7.8.9Triangle D: 5. 12. 16 Answer these questions right i'll give brainliest and 20 pts *there's more than one question*Q 1. Which is not a way in which US boundaries changed between 1800 and 1821?New England states lost territory as people moved west.The nation doubled in size with the Louisiana Purchase.The nation added new states in the Midwest and South.John Quincy Adams arranged to purchase Florida from SpainQ 2. What primary role did technology and new inventions play during the industrial revolution?They generally had little effect on life and proved to be unnecessary.They were responsible for the overthrow of Spain and Portugal in South AmericaA means to save time and labor as well as a new products to be manufactured and sold for a profit.They were only used as a way to speed up travelQ 3. Which was NOT one of the main reasons for western expansion that led to conflict between white Americans and Native Americans?control of the Mississippi Riverdesire to create new markets for US businesseslandgoldQ 4. Which are examples of education reforms in the mid-1800s?public schools, womens colleges, and new reading bookscolleges for wealthy men, shorter school days, and more comfortable desks and chairsa national university, computers, and required field trips to Washington, D.C.abolition, private schools for men, and British textbooksQ 5. What does states' rights refer to?the belief that the country was founded by and for statesthe use of state militias to keep law and order within the statesthe attempt to overthrow the federal government by the statesthe idea that each state has the right to allow or not allow slaveryQ 6. Which describes what the Missouri Compromise (Compromise of 1820) and the Compromise of 1850 had in common?They both tried to end slavery in southern states.They both attempted to preserve the Union.They both found permanent solutions to the slavery issue.They both supported states rights over federal power. In the diagram of circle A, what is the measure of ZXYZ?357075140 Select the correct answer.Henry is an economist and wants to understand the relationship between inflation and consumer spending habits. For his research, he needsthe Consumer Price Index for 2014 and the inflation rate. Based on the prices of goods given, what will he find to be the CPI and inflation rate for2014? Assume that a consumer's basket for three consecutive years consists of the following-Number of ApplesNumber of OrangesYearPrice of an ApplePrice of an OrangeConsumedConsumed20122332201332412014552.Consider 2012 to be the base year.A 100 CPI, 49.56 percent inflationB. 165 CPI, 45.40 percent inflationOC 185 CPI, 55.35 percent inflationOD 175 CPI, 60.56 percent inflationOE 125 CPI, 50.60 percent inflationResetNet consider the following three equations: linear: y=20x+300Quadratic: y=5x^2Exponential: y=10(1.4)^xuse the equations to answer the following questions. Support your answers with work.1. At an x-value of 11, which equation has the largest y-value?2. what is the smallest integer value of x for which the value of the exponential equation is greater than the values of both the linear and quadratic functions?