Help, The distance between point (2, 2) and point (8, 2) is 6 units on a coordinate plane. Which other pairs of points are also 6 units apart? Select all that apply.

Answers

Answer 1

Step-by-step explanation:

Given - The distance between point (2, 2) and point (8, 2) is 6 units on

             a coordinate plane.

To find - Which other pairs of points are also 6 units apart?

Proof -

The distance between two points (x₁, y₁), (x₂, y₂) are 6 if and only if either

( x₂ - x₁ = 6 and y₂ = y₁ )or ( x₂ = x₁ and y₂ - y₁ = 6 ).

If either of the conditions is satisfied , then only we can say that the two points has ha distance of 6 units between them.

Now, As given

Let (x₁, y₁) = ( 2, 2) , (x₂, y₂) = (8, 2)

Check whether the conditions are satisfied or not .

Here x₁ = 2 , x₂ = 8, y₁ = 2, y₂ = 2

Now,

x₂ - x₁ = 8 - 2 = 6 , y₂ - y₁ = 2 - 2 = 0

∴ we get

1st condition is satisfied, So the points have a distance of 6 units between them.

Now,

Let us suppose another point (x₁, y₁) = ( 4, 3) , (x₂, y₂) = (3, 3)

Here x₁ = 4 , x₂ = 3, y₁ = 3, y₂ = 3

Now,

x₂ - x₁ = 4 - 3 = 1 , y₂ - y₁ = 3 - 3 = 0

Here neither of the conditions are satisfied.

So the points are not at a distance of 6 units from each other.


Related Questions

PLEASE HELP!!!! ANSWER FAST

Answers

Step-by-step explanation:

[tex] {d}^{2} = {5}^{2} + {5}^{2} \\ {d}^{2} = 50 \\ d = 5 \sqrt{2} \\ [/tex]

[tex] \tan(60) = \frac{4}{c} \\ c = \frac{4}{ \tan(60) } = 2.3[/tex]

Find the area of the sector of the circle given the diameter of the circle is 16 cm, and the central angle of the sector is 45 degrees. Round to the nearest tenth. Use 3.14 for pi.

Answers

Answer: 25.1 cm^2

Step-by-step explanation:

(45/360) x 3.14 x 8^2

Answer

47

Step-by-step explanation:

Please Help!!! I'll give brainliest

Answers

Please see photo hope it helps

GIVING BRAINLIEST Find the total surface area of the following
cone. Leave your answer in terms of .
12 cm
5 cm
SA = [ ? ]7 cm?
Hint: Surface Area of a Cone = tre + B
Where e = slant height, and B = area of the base

Answers

Answer:

282.74

Step-by-step explanation:

A=πrl+πr2

l=r2+h2

Solving forA

A=πr(r+h2+r2)=π·5·(5+122+52)≈282.74334

Answer:

90

Step-by-step explanation:

In a flower garden, there are 6 tulips for every 7 daisies. If there are 54 tulips, how many daisies are there? A. 69
B. 65
C. 61
D. 63

Answers

Answer:

D

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

54+ 7 = 61 yuhhhhh

Mark needs to buy 42 stamps to send out invitations tor his birthday party. Will 3 sheets of stamps be enough? How do you know?

Answers

I think it can be 45

The graph H shows the height, in meters, of a
rocket 1 seconds after it was launched.
a. Find H0). What does this value
represent?
b. Describe the domain of this function.
c. Describe the range of this function.

Answers

Answer:

a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.

b) [tex]D=[0,5][/tex]

c) [tex]R=[0,35][/tex]    

Step-by-step explanation:

a) H0 is the initial height. It means the height of the rocket at time 0 s.

This value is 15 m.

b) The domain is all values of t between 0 and 5 seconds.

[tex]D=[0,5][/tex]

c) The range is all values of height from 0 to 35 meters.

[tex]R=[0,35][/tex]      

I hope it helps you!

mark pays a $2 enterance fee and $0.75 every time he plays his favorite video game. If he has $17 , how many video games can he play?

Answers

Answer:

6 video games

Step-by-step explanation:

divide 17 by 2.75

what is another way to represent the expression- f + (0.50 x f)?
A) 1.5f
B) 150f
C) f + 1.5
D) f + 150

Answers

-f + (0.50 x f)= -0.5f



Which table shows a linear relationship?
OA
OB
1
X
0
2
0
С
1
2
A
Ос
5
7
10
у
7
y
12
18
CD
Hint:
Is the change in x constant and is the change in y
constant.
0
1
B
x
2
1
2
0
D
16
30
У
8
16
24

Answers

Answer:

Its C

Step-by-step explanation:

Because its c

what is the volume PLEASE HELP

Answers

Answer:

270 m

Step-by-step explanation:

You would do 10 times 9 which is 90 then you would do half of 6 which is 3 then you do 90 times 3 which is  and thats your answer.

Which function is the inverse of f(x)=9x-3

Answers

Answer:

The screenshot of my test is below

Step-by-step explanation:

The inverse function is [tex]f^{-1} (x)[/tex]=(x+3)/9.

The given function is f(x)=9x-3.

How to find the inverse of a function?

Steps for finding the inverse of a function f(x).

Replace f(x) with y in the equation describing the function.Interchange x and y. In other words, replace every x with a y and vice versa.Solve for y.Replace y with [tex]f^{-1} (x)[/tex].

Now, y=9x-3

Interchange x and y. That is x=9y-3.

Solve for y.

That is, 9y=x+3

⇒y=(x+3)/9

⇒[tex]f^{-1} (x)[/tex]=(x+3)/9

Therefore, the inverse function is [tex]f^{-1} (x)[/tex]=(x+3)/9.

To learn more about the inverse function visit:

https://brainly.com/question/19755382.

#SPJ2

Simplify the expression:
8(-4 + 3c)

Answers

Answer:

-32 +24c

Step-by-step explanation:

8(-4 +3c)

Multiply 8 and -4

Multiply 8 and 3c

-32 + 24c

Hope this helps!

Answer:

The answer is: -32+24c

which of the following could not be a value of probability

HELP​

Answers

Step-by-step explanation:

s it will be just know the right

When Deion was born, his grandfather gave him a 7.5-gram gold coin as a present. Today, Deion read in the newspaper that a gram of gold is worth $50.04. How much money is the gold coin worth?

20 POINTSSSSSSSSSSSSSS
FAST HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

1 garm = $50.04

7.5 gram = 50.04 × 7.5 = $375.3

help!!! I will give brainiest to whoever gets both​

Answers

Answer:

She has to buy 48 inches of ribbon

Step-by-step explanation:

We know that the pillow is a square with an area of 144. This means that all the side lengths must be the same. If we take the square root of 144 we get 12 which is the length of one side of the square. Because there are four sides to a square, we multiply this by 4. So 12 x 4 = 48 inches of ribbon.

Determine the values of x and y.

Answers

Answer:

answer is d please follow me I hope it will help you

Answer the questions about the following
polynomial.
10x4 + 1 - 73
The expression represents a
polynomial with
terms. The constant term is
the leading term is
and the
leading coefficient is

Answers

Answer:

10×4+1-73

40+1-73

41-73

-32

Answer:

there is a step called bodmas

Step-by-step explanation:

B:bracket

o:off

d:division

Someone help me pls :(

Answers

Answer: (3,3)

Step-by-step explanation:

Does this equation have one solution, many solution or no solutions? and why? I need to show my work

Answers

Answer: I worked it out on a piece of paper then attached it. It is a No Solution

Step-by-step explanation:

Answer:

−12x−4=−(x+1)

−12x−4=−x−1

−11x−4=−1

−11x=3

and this is your answer x=−3/11

AYO HELP ME COME ON!!!!!

Answers

Answer and Step-by-step explanation:

The answer would be:

C = 10h, where C is the total cost of hats, and h is the number of hats bought.

10 represents the amount of money for each hat.

#teamtrees #PAW (Plant And Water)

Name the component that changes its resistance as the temperature changes.​

Answers

Answer:

Thermistor

Step-by-step explanation:

Answer:

thermistor

Step-by-step explanation:

it is a special typeof variable resistive element that changes its physical resistance when exposed to changes in temperature.

Find each Quotient answer quick 2mins left don't troll

Answers

Answer:

18/125   92/105

Step-by-step explanation:

Answer:

1) 9/50

2) 92/105

Step-by-step explanation:

1)[tex]\frac{3}{5} /4\frac{1}{6} =\frac{3}{4} /\frac{25}{6} \\\\\frac{3}{4} *\frac{6}{25} =\frac{9}{50}[/tex]

2) [tex]\frac{23}{7} /\frac{15}{4} =\frac{23}{7} *\frac{4}{15} \\\\=\frac{92}{105}[/tex]

Richard rolls a fair dice 420 times.
How many times would Richard expect to roll a four?

Answers

70 times, because there is one four, giving him the change of 1/6

Which of the following could be classified as a census?

A.) a survey of a percentage of each state’s population about voting choices
B.) a survey of each student in a school about school lunch options
C.) a survey of all the children in a supermarket to determine the favorite cereal brands of the general population
D.) a survey of all the women on Main Street to determine the current movie preferences of all people over age 20

Answers

Answer:

the answer should be c..

Find the class mark of the class 160- 165​

Answers

Answer:

the classmark of the class is 162.5

Step-by-step explanation:

The computation of the class mark is shown below:

Given that

160 - 165

So, the class mark of the class is

= (Upper limit + lower limit) ÷ 2

= (160 + 165) ÷ 2

= 162.5

Hence, the classmark of the class is 162.5

Find the theoretical probability of rolling a number cube labeled 1-12 and
it landing on 7.

Answers

Answer:

1/12

Step-by-step explanation:

There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.

The function f (x) = 4(3) can be used to determine the number of
bacteria in a petri dish after x weeks. How much bacteria will there be in 4
weeks?

Answers

Your answer is: f(x)= 12

Two squares were used to form a figure. The side lengths of each square is shown.
What is the area of the part of the figure that is NOT shaded?

Answers

Answer:

48

Step-by-step explanation:

8*8 = 64 (big square)

4*4 = 16 (shaded square)

64 - 16 = 48

someone help me please!

Answers

Answer:

1) 44 toilet rolls

2) 15 packs

3) 72 yogurts

4) 4 packs

Step-by-step explanation:

1) 4 x 11 = 44 in 11 packs

2) 60÷4= 15 packs

3) 12 ×6= 72

4)42÷12=3.5=4

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