Answer:
Alex can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number
Step-by-step explanation:
We are told that Alex is drawing rectangles with different areas on a centimeter grid, and he can draw 3 different rectangles with an area of 12 cm²
We have the minimum grid length of centimeters = 1 cm, since we assume that only integers can be used.
That is to say:
12 = 1 x 12
12 = 2 x 6
12 = 3 x 4
These are the 3 different rectangles with an area of 12 cm²
Now we have to find how many rectangles Alex could draw with an area of 11 cm²
11 = 1 x 11
Therefore, only one factorization is possible. Which means that you can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number, which means only the common factor of 1 and the number itself, that is, 11.
Answer:
8:6
Step-by-step explanation:
If 8 out of 14 students are boys then the remaining number of students must be girls
So
14-8= 6
There are 6 girls out of the 14
So as a ratio of boys to girls
8:6
The associative property states that we can regroup the terms of an expression and obtain the same result.
We have then:

The expression that complies with this property is given by:

Answer:
An equation that shows an example of the associative property of addition is:
a. (- 4 + i) + 4i = -4 + (i + 4i)
Answer:
(5, 0)
Step-by-step explanation: