Select the postulate that states a line is determined by two points.1. Postulate 1: A line contains at least two points.
2. Postulate 1a: A plane contains at least three points not all on one line.
3. Postulate 1b: Space contains at least four points not all on one plane.
4. Postulate 2: Through any two different points, exactly one line exists.
5. Postulate 3: Through any three points that are not one line, exactly one plane exists.
6. Postulate 4: If two points lie in a plane, the line containing them lies in that plane.
7. Postulate 5: If two planes intersect, then their intersection is a line.

Answers

Answer 1

Answer: 4. Postulate 2: Through any two different points, exactly one line exists.

Postulate 2 and Postulate 1 are the only two postulates that really make sense. Postulate 2 is your answer instead of Postulate 1 for the following reason:

Postulate 1 states that a line contains at least two points.
Postulate 2 states that through any two different points, exactly one line exists.

Postulate 1 says that all lines contain at least two points, while Postulate 2 says that two points contain a line.

Answer 2

Answer:

Answer:

Postulate 2: Through any two different points, exactly one line exists.

Step-by-step explanation:

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Multiplying an even number of negative numbers gives an answer that is ______________ choose from:positivenegative

Use disability rules to determine whether the number is divisible by 2,3,5,6,9,10. 1044

Answers

Answer:

Step-by-step explanation:

1044 is an even number so it is divisible by 2.

1+0+4+4= 9 , 9 is divisible by 3 so 1044 is divisible by 3.

1044 is not having 0 or 5 in unit digit so it is not divisible by 10 and 5.

1044 is divisible by 2 and 3 so it will be divisible by 6.

=If f(x) = 3x – 2 and g(x) = x+2,
find f(g(x)).
3
f(g(x)) = [?]
Simplify your answer as much as possible.

Answers

Answer:

Step-by-step explanation:

f(x) = 3x - 2 When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).

f(g(x)) = 3(g(x)) - 2 Now wherever you see g(x) on the right, you put in x + 2

f(g(x)) = 3(x + 2) - 2 Now remove the brackets

f(g(x)) = 3x + 6 - 2

f(g(x)) = 3x + 4

I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.

Answer:

3x+4

Step-by-step explanation:

f(g(x))=3(x+2)-2

=3x+6-2

=3x+4

Jodi is retiring at the age of 65. When she retires, she estimates that she will need a monthly income for 25 years. If Jodi starts with $328,133.32 in an account that pays 6.2% interest compounded montly, approximately what monthly income will she be able to draw?

Answers

Given:
Principal = 328,133.32
Interest rate = 6.2%, compounded monthly
term = 25 years

A = P (1 + r/n)^nt
A = 328,133.32 (1 + 6.2%/12)^12*25
A = 328,133.32 (1 + 0.0052)^300
A = 328,133.32 (1.0052)^300
A = 328,133.32 (4.74)
A = 1,555,351.94 Total value after 25 years.

1,555,351.94 / 300 months = 5,184.51 per month.

Answer:The correct answer is B:2,154

Step-by-step explanation:

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

Answers

3/4 (6x + 1) - 3x = 1/4 (2x - 1) . The purpose of this question is to solve for x.

$\mathbf{x = (-4)/(13)}$

Given that:

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

When calculating algebraic expression, we take note of integers in bracket first, then we collect the like terms in order to find the value of x.

$\mathbf{(3)/(4) (6x + 1) - 3x =(1)/(4) (2x - 1) }$

Let's multiply both sides by 4 to eliminate the fraction.

$\mathbf{((3)/(4) * 4) (6x + 1) - 3x =((1)/(4) * 4 ) (2x - 1) }$

$\mathbf{(3) (6x + 1) - 3x =(1 ) (2x - 1) }$

Open brackets;

18x + 3 - 3x = 2x - 1

By rearrangement;

18x - 3x + 3 = 2x - 1

15x + 3 = 2x - 1

Collect like terms

15x - 2x = - 3 - 1

13x = - 4

Divide both sides by 13

$\mathbf{(13x)/(13) = (-4)/(13)}$

$\mathbf{x = (-4)/(13)}$

Learn more about algebraic expressions here:

brainly.com/question/11227332?referrer=searchResults

3/4*(6x+1)-3*x-(1/4*(2*x-1))=0
X=1

What is the value of |–46| ?A.
–46

B.
46

Answers

the answer is B that symbol means absolute value and it manes the distance from zero.

The answer is B. The answer is always the positive version of the number.

Toothpicks are used to make a grid that is 60 toothpicks long and 32 toothpicks wide. How man toothpicks are used altogether?

Answers

Finding how many toothpicks were used altogether is the same process as finding the area, so we have to multiply 32 by 60 which equals 1920. So the final answer is 1920

Final answer:

To find the total number of toothpicks used in the grid, calculate the perimeter of the grid by adding the lengths of all its sides. In this case, the perimeter is 184 toothpicks.

Explanation:

To find the total number of toothpicks used in the grid, we need to calculate the perimeter of the grid. The perimeter of a rectangle is found by adding the lengths of all its sides. In this case, we have a grid that is 60 toothpicks long and 32 toothpicks wide. So, the perimeter is (60 + 32 + 60 + 32) = 184. Therefore, a total of 184 toothpicks are used altogether.

Learn more about Toothpicks here:

brainly.com/question/15762455

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