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3 years ago

If three points lie on the same line, they are collinear.

Mathematics

2 answers:

Debora [2.8K]3 years ago

6 0

It would be the fourth choice because the law of syllogism means that if a = b and b = c then a = c.

FrozenT [24]3 years ago

5 0

Answer:

Option D is correct. The three points lie in the same plane.

Step-by-step explanation:

Three or more points are said to be collinear if they lie on a single straight line.

The law of syllogism, is an argument which is valid and based on deductive reasoning that follows a set pattern. This law possess transitive property of equality, that states that - if a = b and b = c then, a = c.

If three points lie on the same line, they are collinear. If three points are collinear, they lie in the same plane. So, the conclusion that can be drawn is - The three points lie in the same plane. (option D)

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3 years ago

Is {(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)} a function

NISA [10]

Answer:

Step-by-step explanation:

The set contains 2 different ranges for 1 domain. In this case, X = 1 returns 5 and -3, meaning it cannot be a function.

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3 years ago

Each homeroom must send two student representatives to each student council meeting. Mrs. Lincoln has 15 girls and 10 boys in he

Ierofanga [76]

Answer:

1/4

Step-by-step explanation:

Mrs. Lincoln has 15 girls and 10 boys in her homeroom. She randomly selects two students. The total number of students is 25.

The probability of choosing one girl is:

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10 / 24 = 5 / 12

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4 years ago

A small combination lock on a suitcase has 55 wheels, each labeled with the 10 digits 0 to 9. How many 55 digit combinations ar

den301095 [7]

Suppose $a_n$ is the number of possible combinations for a suitcase with a lock consisting of $n$ wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for $n+1$ wheels, or $a_{n+1}$ is given recursively by the formula

$a_{n+1}=9a_n$

starting with $a_1=10$ (because you can start the combination with any one of the ten available digits 0 through 9).

For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).

By substitution, you have

$a_{n+1}=9a_n=9^2a_{n-1}=9^3a_{n-2}=\cdots=9^na_1=10\times9^n$

This means a lock with 55 wheels will have

$a_{55}=10\times9^{54}$

possible combinations (a number with 53 digits).

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3 years ago

Mr. Weiler has 32 students in his class he wishes to place them into 8 groups of equal size. Which of the following represents t

SCORPION-xisa [38]

option 4: 4

8x4=32

hope it helps

8 0

3 years ago

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