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
timurjin [86]
1 year ago
10

On a coordinates plane, a line passes through ( - 2 , 3 ) and ( 2 , 6 ). Which of the followings lies on the same line.

Mathematics
1 answer:
Dahasolnce [82]1 year ago
4 0

By direct comparison and definition of <em>line</em> segment  we notice that the point (x, y) = (- 6, 0) lies on the <em>line</em> segment <u>AB</u> as each <u>AP</u> is a multiple of former. (Correct choice: C)

<h3>What point lies on a line segment?</h3>

According to linear algebra, a point lies in a <em>line</em> segment if its vector is a multiple of the vector that generates the <em>line</em> segment itself, that is:

<u>AB</u> = k · <u>AP</u>        (1)

The vector that generates the <em>line</em> segment is:

<u>AB</u> = (2, 6) - (- 2, 3)

<u>AB</u> = (4, 3)

And the vectors related to each point are:

Case A

<u>AP</u> = (- 2, 12) - (- 2, 3)

<u>AP</u> = (0, 9)

Case B

<u>AP</u> = (6, 12) - (- 2, 3)

<u>AP</u> = (8, 9)

Case C

<u>AP</u> = (- 6, 0) - (- 2, 3)

<u>AP</u> = (- 4, - 3)

Case D

<u>AP</u> = (- 6, 6) - (- 2, 3)

<u>AP</u> = (- 4, 3)

By direct comparison and definition of <em>line</em> segment  we notice that the point (x, y) = (- 6, 0) lies on the <em>line</em> segment <u>AB</u> as each <u>AP</u> is a multiple of former. (Correct choice: C)

To learn more more on line segments: brainly.com/question/25727583

#SPJ1

You might be interested in
What is the surface area of the triangular pyramid?
KonstantinChe [14]

Answer:

126 Sq unite

Step-by-step explanation:

I took the assignment

8 0
3 years ago
Read 2 more answers
Solve x+8y/4=9y for x
nikklg [1K]

Answer:

x = 7y

Step-by-step explanation:

x+8y/4=9y

Multiply each side by 4 to get rid of the fractions

4(x+8y/4)=9y*4

Distribute

4x +8y = 36y

Subtract 8y from each side

4x +8y-8y = 36y-8y

4x = 28y

Divide each side by 4

4x/4 = 28y/4

x = 7y

6 0
3 years ago
Read 2 more answers
The number of people arriving at a ballpark is random, with a Poisson distributed arrival. If the mean number of arrivals is 10,
Stella [2.4K]

Answer:

a) 3.47% probability that there will be exactly 15 arrivals.

b) 58.31% probability that there are no more than 10 arrivals.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

If the mean number of arrivals is 10

This means that \mu = 10

(a) that there will be exactly 15 arrivals?

This is P(X = 15). So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 15) = \frac{e^{-10}*(10)^{15}}{(15)!} = 0.0347

3.47% probability that there will be exactly 15 arrivals.

(b) no more than 10 arrivals?

This is P(X \leq 10)

P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-10}*(10)^{0}}{(0)!} = 0.000045

P(X = 1) = \frac{e^{-10}*(10)^{1}}{(1)!} = 0.00045

P(X = 2) = \frac{e^{-10}*(10)^{2}}{(2)!} = 0.0023

P(X = 3) = \frac{e^{-10}*(10)^{3}}{(3)!} = 0.0076

P(X = 4) = \frac{e^{-10}*(10)^{4}}{(4)!} = 0.0189

P(X = 5) = \frac{e^{-10}*(10)^{5}}{(5)!} = 0.0378

P(X = 6) = \frac{e^{-10}*(10)^{6}}{(6)!} = 0.0631

P(X = 7) = \frac{e^{-10}*(10)^{7}}{(7)!} = 0.0901

P(X = 8) = \frac{e^{-10}*(10)^{8}}{(8)!} = 0.1126

P(X = 9) = \frac{e^{-10}*(10)^{9}}{(9)!} = 0.1251

P(X = 10) = \frac{e^{-10}*(10)^{10}}{(10)!} = 0.1251

P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.000045 + 0.00045 + 0.0023 + 0.0076 + 0.0189 + 0.0378 + 0.0631 + 0.0901 + 0.1126 + 0.1251 + 0.1251 = 0.5831

58.31% probability that there are no more than 10 arrivals.

8 0
3 years ago
Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2
xxTIMURxx [149]

Answer:

Her usual rate is 0.8333 miles per hour.

Step-by-step explanation:

The velocity formula is given by:

v = \frac{d}{t}

In which d is the distance and t is the time.

She completed the first half of the walk 1 mi/h faster than usual

Her usual rate is v. 1mph faster is v + 1.

The second half of the walk 2 mi/h slower than the first half.

The first half is v + 1.

2mph slower is v + 1 - 2 = v - 1. Then

Total rate:

7.2 hours, and 6 miles. So

One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.

0.5(v + 1) + 0.5(v - 1) = \frac{6}{7.2}

0.5v + 0.5 + 0.5v - 0.5 = 0.8333

v = 0.8333

Her usual rate is 0.8333 miles per hour.

8 0
3 years ago
Match each table with the equation that represents the same proportional relationship. Match each table with the equation that r
Alisiya [41]
29 tables of relationships is the answer to your equation above … THANK ME LATER
7 0
2 years ago
Other questions:
  • Find out n of these equations:<br><br> 4n + 10 = 18<br><br> 4n - 13 = 23<br><br> 10n + 8 = 78
    9·2 answers
  • Given the point (5, 6) and the slope of 5, find y when x = 21.
    5·1 answer
  • Please answer 2 3 4 and explain how you got your answer I will give brainliest must explain for all 3
    7·1 answer
  • Simplify. Y/3 + 1/y^2/9 - 1
    9·2 answers
  • Which statement from the article would be most important to include in a summary of the article
    8·1 answer
  • Can someone help me with this?
    13·1 answer
  • Answer please I’m like really bad in math hahaha
    12·2 answers
  • Can you please help me????
    12·1 answer
  • The ratio of the height of a skateboard ramp to the length of the skateboard ramp is 1 to 3.The height of the ramp is 15 feet.Wh
    10·1 answer
  • Hey I need some help ASAP ill give 20 points
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!