Answer:

Step-by-step explanation:
<u>Column Vector</u>
Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.
It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).
The vector directed from A to B is found by subtracting its corresponding coordinates:


Now we express the vector as a one-column matrix as follows:

Answer:
36 cubes.
Step-by-step explanation:
to find the number of cubes:
first, identify the volume of the box using the formula: LxWxH
18cm x 6cm x 9cm = 972 cm³
next, identify the volume of the cube to be placed:
given: cube with a side length of 3 cm
Thus, volume of the cube is 3³=27cm³
To identify the number of cubes, divide the volume of the box to the volume of the cubes. 972/27 = 36. Thus we need 36 cubes.
Answer:
Width = 11 yards
Length = 17 yards
Step-by-step explanation:
First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.
We know the area of a rectangle is A = width x length
For our case 187 = w . (w + 6)
Using the Distributive Property for the multiplication we obtain


Using the quadratic formula
where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:


We have two options: 
Or
But a distance (width) can not be negative so, this answer for w must be discarded.
The answer must be width = 11 yards.
To find the length 
Answer:
D = K-10
Step-by-step explanation:
Let the number of games won by Dave's favourite basketball team be D and Kimiko's be K.
D + 10 = K
therefore,
D = K-10
Topic: Algebraic equations
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Answer = b. 7
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