By the Triangle Inequality Theorem, the sum of two sides should be greater than the length of the third side, while the difference of these two sides should be less than the length of this third side. Normally you would take the absolute value of the difference of these two side as you wouldn't know which is greater than the other!
The simplest way to prove whether these line segments can form a triangle, is by going against this theory. Let us prove that the line segment don't form a triangle. As you can see, adding 7 and 1 is greater than 1, respectively 7 and 7 is greater than 1. Thus -
<u><em>Solution = A. True</em></u>
Answer:
2010.
Step-by-step explanation:
We have been given an exponential growth formula 
, which represents number of passengers traveling by airplane since 1990.
To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:
Take natural log of both sides:
Using property 
, we will get:
This means that in the 20th year since 1990, 900 million passengers would travel by airline.
Therefore, 900 million passengers would travel by airline in 2010.
For the answer to the question above asking to f<span>ind the coordinates of Z without using any new variables.
</span>
Vector WZ equals vector VP, which is (p, -q)
So Z is (-p - r + p, q - q) which is (-r, 0)
I hope my answer helped you.
<span>The table should have the titles: "Grades" for the horizontal axis and "Gender" for the vertical axis. The values for "Grades" are A, B, & C. The values for "Gender" are Boys and Girls. The information contained within the table should be as follows: 12 boys received an A, 24 boys received a B, 12 boys received a C; 16 girls received an A, 30 girls received a B, and 12 girls received a C. There should be a "Total" row at beneath the "Gender" section showing that there were 28 A's, 54 B's, and 24 C's. There should be an additional "Total" column at the end of "Grades" showing that there are 48 boys and 52 girls.</span>
Answer:
2/3
Step-by-step explanation:
32/48= 16*2/16*3= 2/3
