Part A: Parallel lines are two lines that never meet. Find an example that contradicts this definition. How would you change the
1 answer:
The answers to the given questions are explained below as required:
Part A: Parallel lines are two lines that do not meet. So that the two lines are at an angle of to each other.
ii. A good example that contradicts the definition of parallel lines is the perpendicular lines. Two lines are said to be perpendicular if and only if they are at right angle to each other. Thus, the two lines would be at an angle of to one another.
iii. The definition that would be more accurate is: parallel lines are two lines that do not meet, even when extended till infinity.
Pat B: Undefined terms are terms that can be simply explained by descriptions. Some of the terms are: lines, rays, points etc.
ii. Lines can be used appropriately to illustrate parallel lines.
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Answer:
University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.
Step-by-step explanation:
Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.
T = 3 × M
T – 3M = 0 ………………………….(i)
C = 3,000 + 2 × M
C – 2M = 3,000…………………..(ii)
T + C + M = 96,000…………….(iii)
By rearranging, we have:
1T + 0C – 3M = 0 ………………………….(i)
0T + 1C – 2M = 3,000…………………..(ii)
1T + 1C + 1M = 96,000………….…….(iii)
The Augmented Matrix is:
=
Making the subject of the formula we have:
=
Let’s say matrix A = , the inverse of matrix A =
is determined by the formula
. This can also be computed directly on a scientific calculator.
=
=
T = 46,500
C = 34,000
M = 15,500