Answer:
Table A
Step-by-step explanation:
looking at the two tables, we have the observations as follows;
For table B, if we divide x by y; we have a ratio of 2/3
This happens throughout the table
What this means is that x = 2/3 * y
But for table A, we notice a pattern for the first two lines
The pattern here is that x = 2y
But as we move to the next two rows, we notice this fails and thus, we fail to establish a pattern that works for all the rows;
Hence table B has a pattern for all its rows
Answer:

Step-by-step explanation:
Given:

Required:
f(g(x))=?
Solution:
let f(g(x))=f(X), where X=g(x)
so 
put X=
, we get


The magnitude of a vector is the length of the vector. It is also known as the modulus of the vector. For any vector of the form <a,b>, the length is equal to sqrt(a^2+b^2). Note how this follows from the pythagorean theorem.
Answer:

Step-by-step explanation:
The distance travelled by Lisa in the first four hours of her trip is:


The distance remaining and her average speed are, respectively:




Answer:
a. 
b. x = 4 (see steps below)
Step-by-step explanation:
Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:

Cross-multiply: 15(x + 3) = 21(x + 1)
Distribute: 15x + 45 = 21x + 21
Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21
Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x
Divide by 6 on both sides: 24/6 = 6x/6
Solve for x: x = 4