1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
trapecia [35]
3 years ago
5

Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB=7, BC=4, and AC=9. Are points A,

B, and C collinear? Give a written explanation, supported by mathematical evidence, for your answer.
Mathematics
2 answers:
sergeinik [125]3 years ago
7 0
If the points are collinear, then that means they lie on the same line when connected to each other. In order to prove this, the distances between the points must sum up to the length of the line.

AB + BC = AC
7 + 4 ? 9
11 ≠ 9

Since they do not sum up, therefore, the points are not collinear.
garri49 [273]3 years ago
7 0
Collinear means they lie on the same line when connected to each other. In order for you to prove this, the distances between the points have to add up to the length of the line.

AB + BC = AC

7 + 4 ? 9

11 ≠ 9

<span>So since they don't add up, the points are not collinear.</span>
You might be interested in
When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one
Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that p = 0.75

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

P(X = 6) + P(X < 6) = 1

We want P(X < 6). So

P(X < 6) = 1 - P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.18

P(X < 6) = 1 - P(X = 6) = 1 - 0.18 = 0.82

0.82 = 82% probability that at least one party will not order drinks

5 0
3 years ago
Read 2 more answers
At a meeting with 25 businessmen, twelve businessmen drank coffee, and ten businessmen drank tea. Five businessmen drank both co
likoan [24]

Answer:

Step-by-step explanation:

25 total people

5 drank coffee and tea

tea drinkers only : 10 - 5 = 5

coffee drinkers only : 12 - 5 = 7

total people who drank anything : 7 + 5 + 5 = 17

number of people who drank neither : 25 - 17 = 8 <=====

4 0
3 years ago
5x-1/5=7/3 <br> Find The LCD That would eliminate the fractions
photoshop1234 [79]

Answer:

x=\frac{7}{15}

Step-by-step explanation:

5x-\frac{1}{5} =\frac{7}{3}

5x - \frac{3}{15}  = \frac{35}{15}

5x - \frac{3}{15}  + \frac{3}{15} = \frac{35}{15}  + \frac{3}{15}

5x=\frac{35}{15}

\frac{5x}{5} } =\frac{\frac{35}{15}}{5}

x=\frac{7}{15}

7 0
2 years ago
Slope intercepts <br> No links, Will mark BRAINLIEST
Sergeeva-Olga [200]

Answer:

<em><u>Lines are perpendicular to each other .</u></em>

Step-by-step explanation:

Standard equation  of line is : y = mx + c, Where m represents the slope

Given Equations :

y = -5x + 1\\\\Slope , m_1 = -5

y = \frac{1}{5}x +1\\\\Slope, m_2 = \frac{1}{5}

Two lines are parallel if the slope of the lines are same.

Two line are perpendicular if the product of the slope = - 1

Clearly slopes are not equal , therefore the lines are not parallel.

           product of the slope is - 1, therefore the lines are perpendicular.  

                                m_1 \times m_2 = -5 \times \frac{1}{5} = - 1

8 0
3 years ago
Marie and fe work in a flower shop 6 hours on weekend to add their daily allowance in school. They spends 2 1/3 hours for making
Shkiper50 [21]

Answer:

2 1/6 hours

Step-by-step explanation:

2 1/3 + 1 1/2 + x = 6

convert all mixed numbers to improper fractions

7/3 + 3/2 + x = 6/1

change all numbers to have a common denominator

14/6 + 9/6 + x = 36/6

combine like terms

23/6 + x = 36/6

subtract 23/6 from both sides

x = 13/6

convert improper fraction to mixed number

2 1/6

7 0
3 years ago
Other questions:
  • How do I write 28,500/100,000 as a decimal number?
    14·1 answer
  • Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sale-tax rate did Sam pay? 0.06
    11·1 answer
  • "twelve diminished by six times a number
    8·1 answer
  • Find the slope of the line passing through the points <br> , −8−3<br> and <br> , −34<br> .
    8·1 answer
  • WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
    10·1 answer
  • What is the missing numerator? four fifths minus blank over nine equals six forty fifths
    14·1 answer
  • Lots of points due today help
    12·2 answers
  • In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
    6·1 answer
  • Which of the following is the correct graph of the compound inequality 4p +1 &lt;-11 or 6p + 3 &gt; 39?
    7·1 answer
  • For what value of x must ABCD be a parallelogram? 14-7=12x+1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!