Answer:
i believe the first one should be 20 5 since its supposed to be in expanded form but i dont know the second one sorry hope you do good
Step-by-step explanation:
Step-by-step explanation:
We have (x + y)² = (x + y)(x + y) = x² + 2xy + y².
Let x be 3a and y be 2.5b.
Therefore (3a + 2.5b)²
= (3a)² + 2(3a)(2.5b) + (2.5b)²
= 9a² + 15ab + 6.25b².
Hence the '*' sign should be replaced with 15ab.
Answer:
See below.
Step-by-step explanation:
Addition: closed
Example: -5 + 10 = 5, and -5, 10, and 5 are all integers
Subtraction: closed
Example: 10 - 8 = 2, and 10, 8, and 2 are all integers
Multiplication: closed
Example: -4 * 7 = -28, and -4, -7 and -28 are all integers
Division: not closed
Example: 5/2 = 2.5, and 2.5 is not an integer, although 2 and 5 are integers
The set of integers is closed under addition, subtraction, and multiplication because any addition, subtraction, or multiplication of integers always results in an integer.
The set of integers is not closed under division because a division of integers does not always result in an integer.
Answer:
<u>Proportion:</u>
<u>4/15 = 20/75</u>
<u>Sam will bike 37.5 km after 10 days.</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly.
Number of days Sam has gone to work biking = 4
Amount of kilometers Sam has logged on his bike = 15
2. a. Set up a proportion to solve the amount of km he will log after 10 days on the bike.
Number of days Sam has gone to work biking = 4
Amount of kilometers Sam has logged on his bike = 15
2. a. Set up a proportion to solve the amount of km he will log after 10 days on the bike.
4/15 = 20/75
b. Solve for the amount of km in part (a).
Let's use the proportion, this way:
20/75 = 10/x
20x = 75 * 10
20x = 750
x = 750/20
x = 37.5
<u>Sam will bike 37.5 km after 10 days.</u>
Answer: The answer is (c) 3 - 4i.
Step-by-step explanation: We are given a point located on the complex plane and we are to select the correct complex number that is represented by this point.
We can see that the co-ordinates of the point on the plane are (3, -4).
Since the point (a, b) can be written in the form a + bi, where 'a' is the measurement along X-axis and 'b' is the measurement along Y-axis, so the point (3, -4) an be written in the following form:
(3, -4) = 3 + (-4)i = 3-4i.
Thus, (c) is the correct option.
