Given 4 points A, B, C, D where no 3 points are collinear, any 2 points have a distance greater than 10. Prove that there exist two points out of 4 given points with greater distance 14.

Answers

Answer 1

Answer:

idea how to tell your loved one how you feel? How about a love song?


Related Questions

What is the slope of the line containing (-3, 5) and (6, -1)?
O A. -1
O B.-2/3
O C. 1
OD. 2/3

Answers

Answer:

-2/3

Step-by-step explanation:

The slope of a line can be represented as [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:

[tex]\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}[/tex]

We can find the slope by using the formula y2-y1/x2-x1. y2 and x2 are our second y and x coordinates, meanwhile y1 and x1 are our first y and x coordinates. If we plug in our numbers, we get -1-5/6-(-3). This gives us -1-5/6+3. -1-5/6+3 is -6/9. -6/9 is equal to -2/3. The answer is B.

Will give brainliest plz answer quick

Answers

Answer:

65

Step-by-step explanation:

Exterior angle = Sum of 2 interior angles

x + 31 = x + x - 34

x + 31 = 2x - 34

x - 2x = - 34 - 31

- x = - 65

x = 65

Step-by-step explanation:

A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.

[tex]x+x-34+180-x-31=180[/tex]

[tex]x=180-115[/tex]

[tex]x=65[/tex]

Determine the sum of the first 33 terms of the following series:

−52+(−46)+(−40)+...

Answers

Answer:

1320

Step-by-step explanation:

Use the formula for sum of series, s(a) = n/2(2a + (n-1)d)

The terms increase by 6, so d is 6

a is the first term, -56

n is the terms you want to find, 33

Plug in the numbers, 33/2 (2(-56)+(32)6)

Simplify into 33(80)/2 and you get 1320

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Answers

Answer:

y = 3x ..... 1:3

y=9x  ...... 1:9

Step-by-step explanation:

What is the interquartile range of this data set? 1,5,12,14,29,45,48,61,72,84,96

Answers

Answer:

60

Step-by-step explanation:

Q1 = 12

Q3 = 72

the interquartile range = Q3-Q1 = 72-12 =60

Joanna bakes a cake in the shape of a

cylinder. The cake is 10 inches in

diameter and 4.5 inches tall. She

wants to put frosting on the entire

cake that is not resting on the tray.

How many square inches of frosting

will she need? im confused on how to do the work. please answer quickly

Answers

Answer:

total surface area  = 298.45105 m2

lateral surface area = 141.37155 m2

top surface area = 78.53975 m2

bottom surface area = 78.53975 m2

Step-by-step explanation:

Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.

To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.

The formula for the surface area of a cylinder is given by:

Surface Area = 2πr² + 2πrh

Where r is the radius of the base and h is the height of the cylinder.

Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.

Plugging in the values, we have:

Surface Area = 2π(5)² + 2π(5)(4.5)

Simplifying the equation:

Surface Area = 2π(25) + 2π(22.5)

Surface Area = 50π + 45π

Surface Area = 95π

To find the actual numerical value, we can approximate π as 3.14:

Surface Area ≈ 95 * 3.14

Surface Area ≈ 298.3 square inches

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Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

Answers

Answer:

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4

Step-by-step explanation:

The given function is presented as follows;

[tex]f(x) = \dfrac{2}{x - 1} + 4[/tex]

From the given function, we have;

When x = 1, the denominator of the fraction, [tex]\dfrac{2}{x - 1}[/tex], which is (x - 1) = 0, and the function becomes, [tex]\dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty[/tex] therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote

Also we have that in the given function, as x increases, the fraction [tex]\dfrac{2}{x - 1}[/tex] tends to 0, therefore as x increases, we have;

[tex]\lim_ {x \to \infty} \dfrac{2}{(x - 1)} \to 0, and \ \dfrac{2}{(x - 1)} + 4 \to 4[/tex]

Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1

When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, [tex]\dfrac{2}{0 - 1} + 4 = 2[/tex]. When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left

Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

Answer:

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4

Step-by-step explanation:

The given function is presented as follows;

From the given function, we have;

When x = 1, the denominator of the fraction, , which is (x - 1) = 0, and the function becomes,  therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote

Also we have that in the given function, as x increases, the fraction  tends to 0, therefore as x increases, we have;

Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1

When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, . When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left

Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

which of the following equations is an example of direct variation?

Answers

Answer:

C

Step-by-step explanation:

[tex] \frac{x}{3} [/tex]

Find the volume of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer:

437.9

Step-by-step explanation:

Volume is pi*r^2*h=pi*(49)*9=437.9

A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green.
It is spun twice.
What is the probability of getting 2 different colours?

Answers

Answer:

11/30

Step-by-step explanation:

7 is subtracted from the product of 6 ​

Answers

Answer:

product =7×6=42

subtract 42-7=35

Answer:

7 - 2 x 3

Step-by-step explanation:

7 is subtracted from the product of 6

7 - 2 x 3

A box of crayons has one each of red, orange, yellow, green, blue, purple, black, and brown. What is the probability of randomly selecting the black crayon and then randomly selecting the purple crayon if you do replace the first crayon before selecting the second crayon?

Answers

P( selecting black crayon)= 1/8
P ( selecting purple crayon) 1/8
P ( B,P)= 1/8 x 1/8 = 1/64
The probability is 1/64 and you can draw a tree diagram to visualise the two events.

Solve for . Round to the nearest tenth of a degree, if necessary.
3.9
2.2
Answer: 2 =
Submit Answer
attempt 1 out of 2
PLSSS HELp

Answers

Answer:

x = 60.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan x = 3.9/ 2.2

Taking the inverse tan of each side

tan ^-1 (tan x )=  tan ^-1(3.9/ 2.2)

x=60.57254

To the nearest tenth

x = 60.6

If AC = 4x-60 and BD = 30-x, find BD (GIVING BRAINLIEST)

The figure given is a rectangle

Answers

Answer:

12

Step-by-step explanation:

AC = BD (as the diagonal of the rectangle)

4x-60=30-x

4x+x = 30+60

5x = 90

x = 90/5

x = 18

=> BD = 30-18 = 12

If the length of rectangle is x + 4 and the width is 3x - 5 what is the perimeter?

Answers

Answer:

8x-2

Step-by-step explanation:

l = x+4

w = 3x-5

The perimeter is

P =2(l+w)

   = 2(x+4+3x-5)

Combine like terms

   = 2(4x-1)

Distribute

   = 8x-2

Answer:

[tex]8x-2[/tex]

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W, where L represents the length and W represents the width. In this scenario, L is equal to x + 4 and W is equal to 3x - 5. We can setup an equation:

[tex]2(x+4)+2(3x-5)[/tex]

We can then multiply x - 4 by 2 to get [tex]2x+8[/tex]

We can then multiply 3x - 5 by 2 to get [tex]6x-10[/tex]

Adding them together, we get the answer as [tex]8x-2[/tex]

insert 3 rational no. between 4/13 and 1/13​

Answers

Answer:

2/13,3/13,4/13....

hope it helps

Answer:

Step-by-step explanation:

4/13=40/130

1/13=10/130

numbers between 10/130 and 40/130 are 11/130,12/130,13,130 ,...,39/130.

we can select  any three out of these.

highest common factor of 28,40,12 and 24​

Answers

Answer:

4

Step-by-step explanation:

We want to find the highest common factor

Breaking them into factors

28 = 4*7 = 2*2*7

40 = 4*10 = 2*2*2*5

12 = 4*3 = 2*2*3

24 = 3*8 = 3*2*2*2

The factor that appears in all is 2*2

2*2 =4

Answer:

4

Step-by-step explanation:

28÷4=7

40÷4=10

12÷4=3

24÷4=6

7, 10, 3 and 6 cannot be divided by any same number.

4.

The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.


A. quadratic; y = 0.62x2 + 89

B. exponential; y = 89 • 0.62x

C. linear; y = 0.62x + 89

D. quadratic; y = 89x2 + 0.62

Answers

Answer:

B. exponential; y = 89 • 0.62x

Step-by-step explanation:

Answer:

exponential; y = 89 • 0.62^x

...............................................................................................................................................

Answer:

Option B exponential y = 89 · 0.62x

Step-by-step explanation:

The table shows the estimated number of deer living in a forest over a five year period.

Year            Number of deers

0                     89

1                      55

2                     34

3                     21

4                     13

Now we have to find the model representing this situation. Difference in number of deer, in the forest.

We can see there is a common ratio between each successive term r =  = 0.618

r =  = 0.618

so it can be represented by an exponential model.

Option B is the answer.

...............................................................................................................................................

Terri is buying some candy at the corner store. There, small candies cost 10 1 point cents each and large ones cost 25 cents each. Terri bought 52 candies and spent $8.05. A system of equations describing this situation could be written in the form below where S represents the number of small candies and L represents the number of large candies. What is the sum of A, B, C and D? *​

Answers

hi my name how are you home work sind

Classify this triangle



A) Acute scalene triangle
B) Obtuse isosceles triangle
C) Right isosceles triangle
D) Right scalene triangle

Answers

Answer C Right Isosceles Triangle

Step-by-step explanation:

Do it

Answer: C

Step-by-step explanation:

It has a 90 degree angle, right triangle, and both legs in the triangle seem to be the same size, so it's also isosceles.

29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75

Answers

The average cost of one exercise book is N60
He was given N5 change which means he spent a total of N420
Therefore,he used N420 to buy 7 books,the average cost of one book= 420/7=60.Thanks

A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 140
contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75
one-headed Jolos.
One-headed Two-headed Total
Green 30
Purple
45
Total
75
140
How many green Jolos are there in Balan's colony?

Answers

Answer:

30 green jolos

Step-by-step explanation:

in the problem itself it states this "Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jolos.".

There are green Jolos are there in Balan's colony are 30 green jolos.

We have given that,

A faraway planet is populated by creatures called Jolos. All Jolos are either green or purple and either one-headed or two-headed.

Balan, who lives on this planet, does a survey and finds that her colony of 140.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75 one-headed Jolos.One-headed Two-headed Total

            Green      Purple    

               30              45        

Total          75             140          

In the problem itself, states this Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jools.

Therefore there are green Jolos are there in Balan's colony are 30 green jolos.

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A group of random people were polled about whether they prefer to communicate using text messages or by phone calls. The results are shown in the conditional relative frequency table by row.


A 4-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled text with entries 0.57, 0.46, 0.50. The third column is labeled call with entries 0.43, 0.54, 0.50. The fourth column is labeled total with entries 1.00, 1.00, 1.00.


What is the probability of someone preferring phone calls, given the person is a female?


43%

46%

54%

57%

Answers

Answer:

C. 54%

Step-by-step explanation:

Answer:

C. 54%

Step-by-step explanation:

Find the slope (-2,5),(2,9)

Answers

Answer:

1

Step-by-step explanation:

Let,

x1 = - 2

y1 = 5

x2 = 2

y2 = 9

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 9 - 5 ) ) / ( 2 - ( - 2 )

= 4 / 4

= 1

Answer:

slope is 1

Step-by-step explanation:

from (-2, 5) to (2,9)

slope m= (y2-y1) / (x2-x1) = (9-5) / (2- -2) = 4 / 4 =1

*

you can think of how do you get from one point to the other

first point  (-2, 5) go to second point  (2,9)

-first on the  y-axis (vertical) you start at 5 and go four up to get to 9  

-second on the x-axis (horizontal) you start at -2 and go four right to get to 2

slope = change in y / change in x = four up /four right = 4/4 = 1

-moving down or to the left will make the numbers negative

math class 10
the compound amount of rupees 4000 for 3 years is 5500 rupees find the compound interest ​

Answers

Answer:

11%

Step-by-step explanation:

Compound Interest Formula: initial ( 1 + interest rate )^time = final amount

Let compound interest be x

4000(1+x)^3 = 5500

Divide both sides by 4000

4000(1+x)^3 / 4000 = 5500/4000

Cube root both sides

[tex]\sqrt[3]{(1+x)^3} =\sqrt[3]{11/8}[/tex]

1 + x = 2.22398 / 2

1 + x = 1.11199

Minus both sides by 1

1 + x = 1.11199

-1        -1

x = .11199 = 11%

John walked from town A to Town B at a uniform speed of 4km/hr.When he reached town B ,he was turned back immediately and he walked back to town A along the same road at a uniform speed of 6km/hr.What is his average speed for the whole trip?​

Answers

Answer:

His average speed for the whole trip is 5km/hr

Step-by-step explanation:

Answer:

4.8 km/hr

Step-by-step explanation:

Assume that the distance is 24 km (evenly divisible by 4 & 6)

then the A-B time would be 24/4 or 6 hrs.

on the return the time would be 24/6  or 4 hrs.

total time 10 hrs total distance 48 km....

48/10 = 4.8 km/hr

77 yd
36 yd
What is the length of the hypotenuse?
C =
yards

Answers

Answer:

c = 85 yd

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )

c = [tex]\sqrt{7225}[/tex] = 85

Answer:

[tex]85yd[/tex]

Step-by-step explanation:

According to PYTHAGORAS Theorem,

[tex] {c}^{2} = {77}^{2} + {36}^{2} \\ {c}^{2} = 5929 + 1296 \\ {c}^{2} = 7225 \\ c = \sqrt{7225} \\ c= 85yd[/tex]

kx - c = 9 solve for x

Answers

Answer:

x = [tex]\frac{9+c}{k}[/tex]

Step-by-step explanation:

Given

kx - c = 9 ( add c to both sides )

kx = 9 + c ( isolate x by dividing both sides by k )

x = [tex]\frac{9+c}{k}[/tex]

you start by isolating the variable by dividing each side by factors that don’t contain the variables
therefore your answer would be x = 9/k + c/k

For there is always light, if only we’re brave enough to see it.

If only we’re brave enough to be it.

Answers

Answer:

sun is the answer to absolutely

what is the solution to Y=-2x²+4x+8
Y=-4x+16

Answers

Hi there!

[tex]\large\boxed{(2, 8)}[/tex]

Solve by setting the two equations equal to each other:

-2x² + 4x + 8 = -4x + 16

Move all terms to one side:

-2x² + 4x + 4x + 8 - 16 = 0

Simplify:

-2x² + 8x - 8 = 0

Factor out a negative 2 from each term:

-2(x² - 4x + 4) = 0

Factor:

-2(x - 2)² = 0

Set the factor equal to 0 to solve:

(x - 2)² = 0

x - 2 = 0

x = 2

Substitute this value of x into an equation to find the shared y value:

y = -4(2) + 16 = 8

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