Mathematics High School

Use the distance formula to find the distance between cach pair of points. If necessary,
round to the nearest tenth.
C (-2,6), D (10,-8)

Answers

Answer 1

Answer:

[tex]d \approx 18.4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point C (-2, 6)

Point D (10, -8)

Step 2: Find distance d

Substitute:                    [tex]d = \sqrt{(10+2)^2+(-8-6)^2}[/tex]Add/Subtract:               [tex]d = \sqrt{(12)^2+(-14)^2}[/tex]Exponents:                   [tex]d = \sqrt{144+196}[/tex]Add:                              [tex]d = \sqrt{340}[/tex]Simplify:                        [tex]d =2 \sqrt{85}[/tex]Evaluate:                       [tex]d = 18.4391[/tex]Round:                          [tex]d \approx 18.4[/tex]

Related Questions

please help me! i will give brainlest!

Answers

Answer:

16.5 should be correct because OS is half the length.

Tyrone had $17,000 to invest. He invested part of that amount at 2.5% annual interest for one year and the other part at 6.5% annual interest for one year. The amount of interest earned for both investments was $550. Let x represent the amount of money invested in the first account and y represent the amount of money invested in the second account. Which system of equations best represents the situation?

Answers

Answer:

The system of equations best represents the situation

x + y = 17,000.... Equation 1

0.025x + 0.065y = 550... Equation 2

Step-by-step explanation:

Let

x represent the amount of money invested in the first account and

y represent the amount of money invested in the second account.

We are told that:

Tyrone had $17,000 to invest.

Hence,

x + y = $17,000

x + y = 17,000..... Equation 1

We also known that:

He invested part of that amount at 2.5% annual interest for one year and the other part at 6.5% annual interest for one year. The amount of interest earned for both investments was $550

The formula for Interest =

Principal(Amount invested) × Rate × Time.

Hence:

25% × x + 6.5% × y = 550

0.025x + 0.065y = 550... Equation 2

The system of equations best represents the situation

x + y = 17,000.... Equation 1

0.025x + 0.065y = 550... Equation 2

population screening of risky alcohol and drug use via internet and interactive voice response (ivr): a feasibility and psychometric study in a random sample

Answers

There were substantial differences in alcohol and drug usage by the manner of administration, however, problem drinking and drug use were present in 21.1% and 2.8% of the group, respectively.

What do you mean by population screening of risky alcohol and drug?

The topic of whether data from population surveys could be gathered more quickly and affordably than using paper questionnaires is brought up by the widespread accessibility of computer-based technologies like the Internet and Interactive Voice Response (IVR) systems. The issue extends to whether it is possible to assess the prevalence of such behaviors in the general population when dealing with potentially stigmatized behaviors like problematic alcohol and drug use without endangering the accuracy of the findings. This study evaluates the reliability, response rate, and problematic alcohol and drug use of the Internet and IVR versions of the AUDIT and DUDIT. Randomly chosen from the Swedish general population, 5000 people were contacted by mail and asked to respond to the AUDIT and DUDIT questionnaires online or over the phone.

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Two functions are shown below.
f(x) = 3x + 7
g(x) = 2x + 12
What is the value of x where the graphs of f(x) and g(x) intersect?

Answers

Answer:

x=5

Step-by-step explanation:

Ok so put them equal to each other

2x+12=3x+7

subtract 12 from both sides

2x=3x-5

subtract 3x from both sides

-x=-5

divide both sides by -1

x=5

Have a wonderful day/night

Brainliest please.

I think the Answer x=5

which algebraic equation represents the words: forty percent of mrs. garcia's score is 400 points. what is mrs. garcia's score?

Answers

The algebraic equation "0.40x = 400" represents the words: forty percent of Mrs. Garcia's score is 400 points. Mrs. Garcia's score is 1000.

Algebraic equation is an equation made up of variables and coefficients that can be used to solve mathematical problems or questions.

To formulate an algebraic equation, we designate a variable for unknown values.

Mrs. Garcia's score is unknown, and so

let x = Mrs. Garcia's score

Based on the information given on the problem, forty percent of Mrs. Garcia's score is 400 points. Forty percent can be written as 0.40.

40% of x is 400

0.40x = 400

Hence, the algebraic equation for that is 0.40x = 400.

Evaluating the value of x,

0.40x = 400

x = 400 / 0.40

x = 1000

Therefore, Mrs. Garcia's score is 1000.

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what is the simplest form of 1/3 divided by 1/9​

Answers

Answer:

3

Step-by-step explanation:

3 is the answer to the question

3 because if your using a calculator you do 1/3 divided by 1/9 and you’ll get 3. Then press 2nd PRB and you get 3 for the simplest form.


Write equations for the horizontal and vertical lines passing through the point (-2,-5).

Answers

Answer:

y = -5x = - 2

=============================

The horizontal line has same y- coordinate for each x- coordinate, and is parallel to the x-axis so it is:

y = - 5

The vertical line has same x- coordinate for each y- coordinate, and is parallel to the y-axis so it is:

x = - 2

Refer to graphs.

H E L P PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

138

Step-by-step explanation:

just plug in the numbers:

4*6^2 - 36/6

use pemdas

4*36 - 6 = 144-6 = 138

Answer: The answer is 138.

Step-by-step explanation: First, find 6 squared. That is 36. Multiply that by 4 to get 144. After that, find 36 divided by 6. That is 6. Finally, subtract 144 and 6.

**50 POINTS + BRAINLIEST ** Does society/government have any effect on the way scientific theories are shaped. Did that have any role in forming the basis for categorizing something as "living?" Does society/government have any influence in
science today? Please give lots of information as possible it’s supposed to be for a essay :) best answer will receive brainliest

Answers

Answer:

Society helps determine how its resources are deployed to fund scientific work, encouraging some sorts of research and discouraging others. Similarly, scientists are directly influenced by the interests and needs of society and often direct their research towards topics that will serve society.

JJill begins the summer with $500 in her savings account. Each week, she withdraws $20. Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week. At what week will both Jill and Sam have the same amount in their account.

Answers

Answer:

7th week

Step-by-step explanation:

Let us represent the number of weeks as x

Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.

$500 - $20× x

500 - 20x

Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.

$150 + $30 × x

150 + 30x

At what week will both Jill and Sam have the same amount in their account?

We solve this be Equating both Equations together

Jill = Sam

500 - 20x = 150 + 30x

Collect like terms

500 - 150 = 30x + 20x

350 = 50x

Divide both sides by 50

50x/50 = 350/50

x = 7 weeks

Therefore, at the 7 week, Jill and sam would have the same amount in their accounts

Wang Hao wants to spend at most \$15$15dollar sign, 15 on dairy products. Each liter of goat milk costs \$2.40$2.40dollar sign, 2, point, 40, and each liter of cow's milk costs \$1.20$1.20dollar sign, 1, point, 20.

Answers

Answer:

2.40G + 1.20C ≤15

Step-by-step explanation:

The inequality function is

Given that

The cost of goat milk for each liter is $2.40 = G

And, the cost of the cow milk for each liter is $1.20 = C

Now the equation would be

2.40g + 1.20c

Now this must be lower or equal than $15

So, the inequality function would be

2.40G + 1.20C ≤15

hence, the inequality function is 2.40G + 1.20C ≤15

Answer:

2.4G + 1.2C < or = to 15

Step-by-step explanation:

We are given that each liter of goat milk costs $2.40$2.40dollar sign, 2, point, 40, and each liter of cow's milk costs $1.20$1.20dollar sign, 1, point, 20.How can we express the total cost of liters of goat milk and cow's milk that Wang Hao can buy?Hint #22 / 3The cost of GGG liters of goat milk is 2.4G2.4G2, point, 4, G, and the cost of CCC liters of cow's milk is 1.2C1.2C1, point, 2, C. Therefore, the total cost of liters of goat milk and cow's milk that Wang Hao can buy is 2.4G+1.2C2.4G+1.2C2, point, 4, G, plus, 1, point, 2, C.We are also given that Wang Hao wants to spend at most $15$15dollar sign, 15 on dairy products. This means that it is possible for Wang Hao to spend $15$15dollar sign, 15 or any amount less than this. Let's use this condition to create the appropriate inequality.Hint #33 / 3The following inequality represents the number of liters of goat milk and cow's milk Wang Hao can buy on his budget: 2.4G+1.2C≤152.4G+1.2C≤15

The accompanying data are 45 commute times to work in minutes for workers of age 16 or older in chicago. Construct a frequency distribution. Use a class width of minutes and begin with a lower class limit of minutes. Do the data amounts appear to have a normal​ distribution? examine the data and identify anything appearing to be unique. Loading. Click the icon to view the commute times. Question content area bottom part 1 construct the frequency distribution. Commute time​ (minutes) frequency 15 10 16 31 18 32 47 11 48 63 5 64 79 0 80 95 1

Answers

The frequency distribution of the commute time in minutes is:

Commute time   Frequency

1 - 15                        10

16 - 30                      18

31 - 45                        11

46 - 60                        5

61 - 75                        0

76 - 90                        1

How to construct the frequency distribution?

The distribution of the commute time in minutes is given as

Commute time​ (minutes) frequency

60 15 35 30 15 45 10 15 15 30 30 30 45 30 20 20 15 45 60 15 30 30 60 30 45 30 12 45 20 10 45 45 35 60 20 20 30 4 80 45 30 60 45 25 30

From the question, we have:

Frequency = 45

Minimum lower class limit = 1

Class width = 15 minutes

This means that the class intervals are

1 - 15, 16 - 30, 31 - 45, 46 - 50.......

When the distribution of the commute time in minutes is sorted into the class intervals, we have:

1 - 15: 15 15 10 15 15 15 15 12 10 4

16 - 30: 30 30 30 30 30 20 20 30 30 30 30 20 20 20 30 30 25 30

31 - 45: 45 35 45 45 45 45 45 45 45 35  45

46 - 60: 60 60 60 60 60

61 - 75:

76 - 90: 80

Determine the frequencies

1 - 15:    10

16 - 30: 18

31 - 45: 11

46 - 60: 5

61 - 75: 0

76 - 90: 1

Hence, the frequency distribution of the commute time in minutes is:

Commute time   Frequency

1 - 15                        10

16 - 30                      18

31 - 45                        11

46 - 60                        5

61 - 75                        0

76 - 90                        1

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Write a linear function f with the values f(2)= 3 and f(4) = 3.

Answers

Answer:

y = 3

Step-by-step explanation:

Linear Function:

y = mx + b

When X = 2, Y should equal 3

(2, 3)

When X = 4, Y should also equal 3

(4, 3)

Another way to ask this question if you are curious:

"Write a linear equation that passes through the points (2, 3) and (4 , 3)

Using the points though, we can use the slope formula equation to get the slope:

y2 - y2

----------

x2 - x1

-plug in the numbers from the points-

3 - 3

------

4 - 2

=

0 / 2

So the slope is going to be 0.

y = 0x + 3

y = 3

EVERYONE WE ARE MAKING MATIAS GO VIRAL ON BRAINLY CAPY AND PAST AND SPREAD THE WORD #MATIASISCOOL #GOMATIAS

Answers

Answer:

why?

Step-by-step explanation:

Answer:

OTAY

Step-by-step explanation:

The perimeter of a rectangle is 56 inches. The length is 4 more than twice the width. Write and solve a system to determine the length of the rectangle

Answers

width: x
length: x + 4
Equation: 2(x + x + 4) = 56
2(2x + 4) = 56
4x + 8 = 56
4x = 48, x = 12
Width = 12, 12 + 4 = length
Solution: the length is 16 inch

Answer:

56×4=x

so x=224

Step-by-step explanation:

if i am  wrong sorry didnt fully understand what you wanted

What is the reciprocal of 7/18

Answers

The answer is 18/7 or 2.571428571 hope this helps

Answer:

18/7

Step-by-step explanation:

x=reciprocal of 7/18

7/18 * x = 1 ==> the product of the reciprocal of a number and the number itself is one since the product of the numerator and the product of the denominator would be the same.

7x/18=1

7x/18 * 18=1*18

7x=18

7x/7=18/7

x=18/7

I need you’re helpppppppppp

Answers

A. The table will fit because 2 5/8 < 2 3/4

A 48000 gallon water tank is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it take to fill this tank 3/5 full?

Answers

The minutes it will take for the tank to be 3/5 full is 720 minutes.

When the tank be 3/5 full?

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 3/5.

The first step is to determine how many gallons the tank would have when it is 3/5 full. To determine this value, multiply the volume of the tank by 3/5.

Gallons when the tank is 3/5 full = 3/5 x  48,000 = 28,800

Now, divide the speed of the water by the gallons in the tank when it is 3/5 full.

28,800 / 40 = 720 minutes

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Help I’m bad at math

Answers

Answer:

None of the answers are correct.

Step-by-step explanation:

Maria's answer is incorrect:

1. "-1" is the y-intercept. 3x/4 is your rise/run.

2. Start from -1 on the y-axis.

3. Go up 3 units above, then 4 units to the right.

4. This leads up to being not on the line.

Peter's answer is incorrect:

1. "-1" is the y-intercept. -4x/3 is your rise/run.

2. Start from -1 on the y-axis.

3. Go down 4 units below, then 3 units to the right.

4. This leads up to being not on the line.

S-2
2 3 4 5
A) y--x-2
C) y = 2x - 2
B) y=-2x - 2
D) y=-2x - 1

Answers

Answer:

gmj5

Step-by-step explanation:

t5y6

when the least common multiple of two positive integers is divided by their greatest common divisor, the result is 33. if one integer is 45, what is the smallest possible value of the other integer?

Answers

The smallest value of the other number will be 3 ×5× 11 =165

In the given statement is :

When the least common multiple of two positive integers is divided by their greatest common divisor, the result is 33. If one integer is 45.

To find what is the smallest possible value of the other integer

Now, According to the question

One of the numbers 3 ×3× 5 = 45

The lowest common multiple has to be a multiple of 45 i.e.,

3 ×3× 5 something when LCM is divided by the greatest common divisor

then the answer is 33 = 3 x 11 .

So the other number will have to be a multiple of 11

3 ×3× 5× 11 × ?/ some factor of 4 = 33

(3 ×5) ×3× 11 × 1 /3 × 5 = 33

So if the greatest common divisor is 3× 5 the given number is 3 ×3× 5

Hence, The smallest value of the other number will be 3 ×5× 11 =165  

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simplify 6(2x + 4) – 2x + 15 – y
Please help me on this one I'm tripping on it.

Answers

Answer:

10x + 39 - y

Step-by-step explanation:

Answer:

10x - y +39

Step-by-step explanation:

what is 35300 in the sceincetific notation​

Answers

35300 x 10⁰

3530 x 10¹

353 x 10²

35,3 x 10³

3,53 x 10⁴

0,353 x 10⁵

Answer:

3.53x10^4

Step-by-step explanation:

your welcome

~Ren

can someone please help me with this problem :)

Answers

Answer:

42

Step-by-step explanation:

f(x)= -x2-5x+36

f(-3)= -(-3)2-5(-3)+36

    = -(9)-5(-3)+36

     = -9+15+36

     =6+36

     =42

what is the slope of y-14=-8(x+2)?

Answers

Answer:

slope: -8

Explanation:

[tex]\sf slope\:intercept\:form:y = mx+ b[/tex]

where:

m = slopeb = y-intercept

Here equation:

⇒ y - 14 = -8(x + 2)

rewrite:

⇒ y = -8x - 16 + 14

simplify

⇒ y = -8x - 2

Here, the slope is -8 and y-intercept is -2.

Jose rented a bike from Maurice's Bikes for $18 plus $5 per hour. If Jose paid a total of $38, how many hours did he rent the bike?

Answers

Answer: 4 hours

Step-by-step explanation:

38- 18 = 20

20 / 5 = 4

Answer:

4 hours

Step-by-step explanation:

If he paid a total of $38 then you first would subtract the $18. You are left with 20. Divide that by the $5 then you get 4

The cost to rent a lodge for a family reunion is $975. If 65 people attend and pay the same price, how much does each person pay? Write an expression to represent the problem.

Answers

Answer: 15

Step-by-step explanation:

if 975 dollars paid for 65

975/65=15

In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=71°, and JH = 2 feet. Find the length of IJ to the nearest tenth of a foot.

Answers

Answer:

IJ is 5.8 ft

Step-by-step explanation:

Here, we want to calculate the length of IJ

to Find IJ, we need the appropriate trigonometric ratio

The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent

from the question, IJ is the opposite

This is the side facing the given angle

HI is the hypotenuse which is the side facing the right-angle

HJ is the third side which is the adjacent

Mathematically;

That is the Tan

Tan 71 = IJ/2

IJ = 2 Tan 71

IJ = 5.8

simplify 6 1 over 3 divide (4 5 over 6 - 3 1 over 5​

Answers

Answer:

3.5 maybe?

Step-by-step explanation:

have a nice morning or night

Can somebody answer this question please? With explanation.

Best answer gets 5/5 stars + Brainliest

Answers

Answer:

23

Step-by-step explanation:

i need brainliest. i promise it is correct.

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