What is the maximum number of distinct lines that can be drawn through 10 distinct points if no 3 of the points are collinear?

Answers

Answer 1
10 objects chosen 2 at a time can be chosen
.. 10*9/(2*1) = 45 ways

45 distinct lines can be drawn

Related Questions

a wheel has a radius of 12 cm approximately how far does it travel in 2 revolutions

Answers

I’m pretty sure that you find the circumference and multiply it by the number of revolutions.

Hello!

S=R*THETA

so s= is what you are looking for.

givens;

radius=12cm=.12m

theta(RADIANS ONLY)=2pi*2revs=4pi

s=.12*4pi=for an approximate answer of 1.50796m travelled


hope this helps. any questions please ask. thank you

.hey can you help me I will crown you brainliest

Answers

The last one CL because of the order

What is the solution to 2h+8>3h-6

Answers

2h+8>3h-6
2h-3h>-6-8
-h>-14
h<14
Answer h∈(-∞;14)

While training for a marathon, Sean runs at least 28 miles a week. He has already ran 6 miles this week. The inequality shown can be used to find m, the number of miles Sean still needs to run this week. m + 6 ≥ 28 Which inequality represents the solution set for this situation? A) m ≥ 22 B) m ≤ 22 C) m ≤ 34 D) m ≥ 34

Answers

That would be B ) m >= 22

Explanation : Just l like a normal equation , we need to isolate the variable to get its value. We can do that by simply substracting 6 from both sides of the equation :
m + 6 >= 28
m + 6 - 6 >= 28 - 6
6 - 6 cancel out so we end up with
m >= 22

I hope you understood my brief explanation. And please consider marking this awnser as Branliest if you think it deserves it. Thank you so :)

Answer: A) m ≥ 22

Step-by-step explanation:

Hi, to answer this question we simply have to solve the inequality given for m (miles ran per week).

m + 6 ≥ 28  

Subtracting 6 from both sides:

m+6-6 ≥ 28 -6

m ≥ 22

Sean still needs to run 22 miles this week.

So, the correct option is A) m ≥ 22

Feel free to ask for more if needed or if you did not understand something.

IMAGE ATTACHED

At an amusement park, the probability that a child eats a hot dog and drinks a soda pop is 0.38. The probability that a child eats a hot dog is 0.61, and the probability that a child drinks soda pop is 0.89. What is the probability (rounded to the nearest hundredth) that a child drinks soda pop given that the child has already eaten a hot dog? Hint: cap p left parenthesis cap a vertical line cap b right parenthesis equals start fraction cap p left parenthesis cap a intersection cap b right parenthesis over cap p left parenthesis cap b right parenthesis end fraction

A| 0.34
B| 0.43
C| 0.62
D| 0.69

Answers

now if i'm correct it would be the last option hope this is right :)

If a company is considering the purchase of a parcel of land that was acquired by the seller for $93,000 is offered for sale at $166,000, is assessed for tax purposes at $103,000, is recognized by the purchaser as easily being worth $156,000, and is purchased for $153,000, the land should be recorded in the purchaser's books at:

Answers

I may be wrong but I think it is still 153,000 dollars because that is what was purchased.

Answer:

The land should be recorded in the purchaser's books at : $153,000.

Step-by-step explanation:

Since the parcel of land is purchased by the company for $153,000, hence the land should be recorded in the purchaser's books at : $153,000.

HOW ARE RESTRICTIONS AND DISCONTINUITIES CREATED IN RATIONAL EXPRESSIONS? HOW CAN THEY BE ACCOUNTED FOR GRAPHICALLY?

Answers

I'm not sure what is meant by 'how are zeros created in rational expressions?' I suppose that would just be when the numerator of the rational expression equals zero. Nothing special goes on with the graph in that case; there are simply x-intercepts at those values of x. 
Graphically, this is usually represented by a dashed vertical line indicating a vertical asymptote. 
Final answer:

In mathematics, discontinuities and restrictions in rational expressions are caused by values that make the denominator zero, as division by zero is undefined. Graphically, these are represented as vertical asymptotes or holes. They can be accounted for by noting the x-values where the denominator equals zero.

Explanation:

In mathematics, discontinuities and restrictions in rational expressions are caused by values that make the denominator of the expression equal to zero, as division by zero is undefined. A rational expression is a ratio of two polynomials, typically written in the form P(x)/Q(x), where P(x) and Q(x) are polynomial expressions and x is a variable.

For example, in the rational expression (x+2)/(x-3), x-3 is the denominator. The restriction is determined by setting the denominator equal to zero. If x-3 equals zero, then the value of x that makes this true is 3. Therefore, x cannot be 3 as this would make the denominator zero, creating a discontinuity in the rational expression.

Graphically, discontinuities in rational expressions are represented as vertical asymptotes or holes. A vertical asymptote occurs when the denominator of the fraction is zero but the numerator is not. A hole occurs when both the numerator and the denominator are zero at the same point. These can be accounted for by noting the x-values where the denominator equals zero.

Learn more about Discontinuities in Rational Expressions here:

https://brainly.com/question/32823959

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What is the solution to the system of equations below? Y=-4/5x-6 & y=-30

Answers

So when you are trying to find the solution to the system of equations make sure that you have it where y= -4/5x-6 and y= -30 are written like this:

-30=-4/5x-6

And then solve for x:

Add 6 on both sides. 

-24=-4/5x

Then multiply by the reciprocal of -4/5.

-5/4*-24=-5/4*-4/5x

x=30 

But then you are gonna want to plug 30 in for x in y=-4/5x-6 to make sure that it is the same as y=-30.

The solution of the system is y = -30 and x = 30.

How to solve the system of equations?

Here we have two equations:

y = -(4/5)*x - 6

y = -30

The second equation can be replaced in the first one, so we get:

-30 = -(4/5)*x - 6

Now we can solve that for x.

-30 + 6 = -(4/5)*x

24*(5/4) = x = 30

So the solution of the system is y = -30 and x = 30.

If you want to learn more about system of equations:

https://brainly.com/question/13729904

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The simplest form of square root of eighty can be written as a times square root of b, where a = and b = .

Answers

The correct answer is:

A=4

B=5

hopes this helps you and future people!

Answer:

a = 4 and b = 5

Step-by-step explanation:

The simplest form of square root of eighty can be written as:

[tex]\sqrt{80}=\sqrt{2\times2\times2\times2\times5}[/tex]

Now as it is a square root function, we will pair up the four 2's in two pairs.

And will take out [tex]2\times2[/tex] outside the square root.

Making the answer = [tex]2\times2\sqrt{5}[/tex]

or [tex]4\sqrt{5}[/tex]

So, a = 4

and b = 5

There's a 40% chance of rain on Tuesday and a 50% chance of rain Friday. What percent will it rain both Tuesday and Friday?

p.s. this is a probability question I think

Answers

40% or 40/100 which is in decimal format 0.4.

50% or 50/100 which is in decimal format 0.5.

P( tueday AND friday)    <----- AND is a keyword, means product

P(tuesday)  AND  P(friday)

  0.4            *         0.5

0.2 or 0.2 * 100 or 20% chance that it will rain on both days.

Please help me !! Thank you!!

Answers

1. no. The cost per visit is inversely proportional to the number of visits.

2. yes. The cost is proportional to the number of tickets, hence a linear function of the number of tickets.

3. no. The population is modeled by an exponential function.

4. yes. Distance is proportional to time at a constant speed.

5. yes. (maybe) In the context of this question, "at a constant rate" is presumed to mean "by a constant amount". In that case, growth is linear.

If the rate expressed as a constant percentage (say, 3%) per year, then growth is exponential, not linear.

Every morning, a deli offers a “commuter special” in which customers can select a pastry, beverage, and a copy of one of the local papers and pay $1.00. Their options are listed in the table.

Last Tuesday, the deli did not have any muffins. How did that affect the number of possible combinations?
A. It decreased the number of combinations by 1.
B. It decreased the number of combinations by 4.
C. It decreased the number of combinations by 8.
D. It decreased the number of combinations by 10.

Answers

To find the number of possible combinations, you multiple the possible number of outcomes for each category together. For example, there are 5 choices of pastries, 4 choices of drinks, and 2 newspaper choices, so normally there are 5 x 4 x 2=40 possible combinations. Without a muffin, these numbers would change to 4 x 4 x 2=32. The difference would be 8 possible options, so choice C.

Answer: C

c. It decreased the number of combinations by 8.

It's been estimated that if you consume an extra 3,500 calories, you will gain 1 pound of fat. one can of soda contains 40 grams of sugar. sugar has 4 calories per gram. if a person drinks a six-pack of soda every day, how many pounds will he or she gain in 1 year?

Answers

we know that
1 can of soda---------------> 40 grams of sugar
if 1 gram sugar------------------------------------>has 4 calories
40 grams (1 can of soda)-----------------------> X
X=40*4=160 calories
then 
1 can of soda--------------> has 160 calories
six-pack of soda every day--------------> 6*160=960 calories every day

in one year------------> 960*365=350400 calories in one year

if 3500 calories----------------> 1 pound of fat
350400 calories----------------X
X=350400/3500=100.11 pound
In one year she or he will gains 100.11 pound of fat

the answer is 100.11 pound

Which unit should be studied to review symbols from set theory? Unit 1 Unit 3 Unit 5 Unit 7

Answers

unit 1 is the answer

The correct answer is "Unit 1" I just had this question and I got it right.

What is the circumference of the circle in terms of pi? The radius is 2.2 and I got 13.82 but the choices are 1.1, 1.21, 2.2 and 4.4 im so confused so could someone please explain what i did wrong?

Answers

C = 2 π r
C = 2 π (2.2)
C = 4.4 π (in term of pi)

answer
4.4π 
The question pretty much explains it. Remember that pi is the ratio of the circumference to diameter and has the approximate value of 3.14159.... And you've been given a radius of 2.2. Since the diameter is twice the radius, that means that the diameter is 2.2*2 = 4.4, so the total circumference is 4.4 times pi. The value of 13.82 is the actual circumference, but remember the question "... in terms of pi" So the answer is 4.4

Fuel prices have increased by 9% this year. The smiths family’s fuel bill for this year is now £1956. How much was the bill likely to have been last year

Answers

1779.96
1956 times .09 equals 176.04, subtract 176.04 fro 1956 and you get 1779.96.

A rectangle has a length of 12 millimeters and a width of 17 millimeters.

What is the effect on the perimeter when the dimensions are multiplied by 12?


a. The perimeter is increased by a factor of 12.

b. The perimeter is increased by a factor of 48.

c. The perimeter is increased by a factor of 144.

d. The perimeter is increased by a factor of 576.

Answers

ok so original perimeter = 12 +12 + 17 +17 = 58 mm


if dimensions are multiplied by 12:

12*12 = 144 and 17*12 = 204

 new perimeter = 144 +144 +204 +204 = 696 mm


696 / 58 = 12


so the perimeter increased by a factor of 12, answer is A

Answer:

The perimeter is increased by a factor of 12.

Option (a) is correct .

Step-by-step explanation:

Formula

Perimeter of a rectangle = 2 (Length + Breadth)

As given

A rectangle has a length of 12 millimeters and a width of 17 millimeters.

Perimeter of a rectangle = 2 × (12 + 17)

                                         = 2 × 29

                                         = 58 millimeters ²

As given

when the dimensions are multiplied by 12 .

New Length = 12 × 12

                    = 144 millimeter

New Breadth = 17 × 12

                      = 204 millimeter

Thus

New Perimeter of a rectangle = 2 × (144 + 204)

                                         =  2 × 348

                                         = 696 millimeter²

[tex]\frac{New\ perimeter\ of\ a\ rectangle}{Perimeter\ of\ a\ rectangle} = \frac{696}{58}[/tex]

[tex]\frac{New\ perimeter\ of\ a\ rectangle}{Perimeter\ of\ a\ rectangle} = 12[/tex]

Therefore the perimeter is increased by a factor of 12.

Option (a) is correct .

One reading list had a total of 12 fiction and nonfiction books. Compared to the first list, there are twice as many fiction books and 3 times as many nonfiction books making a total of 28 books on the second reading list. Write a system of linear equations and find the number of fiction and nonfiction books on the first list.

Answers

First we define the variables:
 x = fiction books
 y = nonfiction books
 We write the system of equations that best suits the problem.
 We have then:
 x + y = 12
 2x + 3y = 28
 Solving the system:
 x = 8
 y = 4
 Answer: 
 x + y = 12 
 2x + 3y = 28
 the number of fiction and nonfiction books on the first list are: 
 8 fiction books 
 4 nonfiction books

Answer:

(8,4)

Step-by-step explanation:

yes

find the nonpermissible replacement for y in this expression Y+7/Y-3

Answers

Final answer:

The nonpermissible value for y in the expression (Y+7)/(Y-3) is 3, because it would make the denominator zero, resulting in an undefined expression.

Explanation:

The question is asking to find the nonpermissible value for y in the expression (Y+7)/(Y-3). In algebra, nonpermissible values are values for the variable that would make the denominator of a fraction equal to zero. We set the denominator of our expression equal to zero and solve for y.

Steps to find the nonpermissible value:

Identify the denominator of the expression, which is (Y-3).

Set the denominator equal to zero: Y - 3 = 0.

Solve for y: Y = 3.

Therefore, the nonpermissible replacement for y is 3, as substituting this value into the denominator would create a division by zero, which is undefined in mathematics.

please help thank you

Answers

The answer would be 3.25 * 5 * 5 = 81.25

When doing ratios, if you know the proportion of the length and width you just multiply that ratio to the origingal value

Write a polynomial function of f of least degree with rational coefficients a leading coefficient of 1 and the given zeros -5 2i

Answers

If I'm reading this correctly, it is 
y = (x + 5)(x + 2i)(x - 2i) = (x - 5)(x^2 + 4)
which expands to
y = x^3 + 5x^2 + 4x + 20

Suppose we set θ0=−2,θ1=0.5 in the linear regression hypothesis from q1. what is hθ(6)?

Answers

hθ(x) = θ_0 + θ_1x
hθ(x) = -2 + 0.5x
hθ(6) = -2 + 0.5 * 6
hθ(6) = 1

The distance between 2 points is found by ________ the x terms and squaring the result, _________ the y terms and squaring the result, taking the sum of the results and then finding the square root of the sum.

subtracting; subtracting

adding; adding

adding; subtracting

subtracting; adding

Answers

Answer: Choice A) subtracting; subtracting

The goal is to find the legs of the right triangle, so you can find the hypotenuse. The hypotenuse is the distance between the two points. See the attached image. 

Answer:

A)

subtracting; subtracting

Step-by-step explanation:

Write an equation that is perpendicular to y = -7x + 2 and passes through (7 , 5)

Answers

Perpendicular lines intersect to form a 90° angle. They form a sort of X-shape.

The slope of a line perpendicular to another line is the negative reciprocal, that is, [tex]m_{perp} = \frac{-1}{m} [/tex].

For your equation, the slope is –7. That means the slope of its perpendicular line must be [tex]- \frac{-1}{7} = \frac{1}{7} [/tex]. 

Now, we must also find such a line that passes through (7, 5). It is easiest to write this in point-slope form, [tex]y-y_1=m(x-x_1)[/tex].

We get [tex]y-5= \frac{1}{7} (x-7)[/tex]. Technically, we are done, but it is customary to convert this into slope-intercept form, [tex]y=mx+b[/tex].

[tex]y-5= \frac{1}{7} (x-7)\\\\y= \frac{1}{7}x-1+5\\\\y= \frac{1}{7}x+4[/tex].

And that's our final answer. We can verify the solution graphically. See attached. 


In general, our steps are:

1) Find the slope of the given line if it is not given directly.
2) Find the slope of the perpendicular line (the negative reciprocal).
3) Identify the point it must pass through.
4) Substitute the values into the point-slope form.
5) Write the equation in slope-intercept form.

helpppppppppppppppppppppp

Answers

Answer: second option y = 2(x + 7/2)^2 + 1/2

Explanation:

1) given:

y = (x + 3)^2 + (x + 4)^2

2) expand the binomials:

y = x^2 + 6x + 9 + x^2 + 8x + 16

3) add like terms:

y = 2x^2 + 14x + 25

4) take common factor 2 of the first two terms:

y = 2 (x^2 + 7x) + 25

5) complete squares for x^2 + 7x

x^2 + 7x = [x +(7/2)x ]^2 - 49/4

6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:

y = 2 [ (x + 7/2)^2  - 49/4] + 25

7) take -49/4 out of the square brackets.

y = 2 (x + 7/2)^2 - 49/2 + 25

8) add like terms:

y = 2(x + 7/2)^2 + 1/2

And that is the vertex for of the given expression.

an internet company charges a one time setup fee of 44.99 and a monthly fee of 29.99 for internet service the company is offering a 25 percent discount on the monthly fee for the first year

Answers

90$ off $135 total




yark



Jason is buying a home theater system on layaway for $349. If he makes a down payment of $25 and pays $54 each week will it take Jason to pay for the home theater system?

Answers

Hey! 
First, you would take 349 and subtract 25 from it.(349-25=324) This gets rid of the down payment. 
Next, you would divide 324 by 54. (324÷54=6)
It would take him 6 weeks! 
Hope this helped! And make sure to check my calculations! 
Godspeed
-Song

Jason will take 6 weeks to pay off the home theater system on layaway after making an initial down payment of $25 and weekly payments of $54.

The student's question is about how long it will take Jason to pay for a home theater system using a layaway plan. Jason has made an initial down payment of $25 and will make weekly payments of $54.

To calculate the time it will take to pay off the remaining balance, we subtract the down payment from the total cost: $349 - $25 = $324. Then, we divide the remaining balance by the weekly payment amount: $324 / $54 = 6. This means it will take Jason 6 weeks to pay off the home theater system on layaway.

He perimeter of this pentagon is 280 cm. find the lengths of the sides.

Answers

IF the pentagon has 5 equal sides then each side is
280 / 5 which equals 56 cm


Choose the option that correctly completes the statement.

The measure of an exterior angle of a triangle is _____ the sum of the measures of the remote interior angles.
less than
greater than
equal to

Answers

Final answer:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

Explanation:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

For any triangle, the sum of the measures of the three interior angles is always 180 degrees. An exterior angle is formed by extending one side of the triangle. The sum of the measures of the exterior angle and its corresponding remote interior angles is always 180 degrees. Therefore, the measure of an exterior angle is equal to the sum of the measures of the remote interior angles.

Final answer:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

Explanation:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

For example, if one of the remote interior angles of a triangle measures 40 degrees, then the corresponding exterior angle measures 40 degrees as well. The sum of the measures of the other two interior angles would be 140 degrees, making the exterior angle equal to 40 degrees.

Therefore, the correct option that completes the statement is equal to.

Given the geometric sequence 100, 50, 25, ..., find the 7th term.

Answers

a=100 r=1/2
T(7)=100(1/2)^6=1.5625
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She is merely a "figurehead"a symbol of authority with no real power. The country is run by an elected parliament and a prime minister.The progression described above reflects which of the following ideas from the Enlightenment?A.different cultures, beliefs, ideas, and value systems have equal meritB.separation of church and statedenial of church authorityC.beliefs of any sort should be accepted only on the basis of reasonD.rejection of the Divine Right of Kings and hereditary authority Place the following list of events in the correct order. (The piece of String)A police officer states that Maitre Hauchecorne is accused of taking the wallet by Maitre Malandain. The wallet is returned. Maitre Hauchecorne tries to persuade anyone who will listen that he did not take the wallet. A missing wallet and reward for its return is announced to the residents of Goderville. The townspeople believe that Maitre Hauchecorne had someone else turn in the wallet for him. 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