Distributeiv porpoty
a(b+c)=ab+ac
or FOIL
anyway distribute
(m-6)(m+6)=
(m-6)(m)+(m-6)(6)=
(m^2-6m)+(6m-36)=
m^2-36
B, d, e, f
they all equal 64
Answer:
7,897.30 miles
Step-by-step explanation:
It is given that the North Pole is at a distance of 3,949 miles from the center of the earth.
We also know that the sea floor is below 2.4 miles from the sea level.
It is given that a submarine is located at the sea floor near North Pole. Hence, the distance of the submarine from the center of the earth would be
3949 - 2.4 = 3946.6 miles.
On the other hand, the South Pole is given to be at an elevation of 1.7 miles from the sea level.
Since we know that the sea level is at a distance of 3949 miles from the center of the earth, we can immediately calculate the distance of the South Pole from the center of the earth to be
3949 + 1.7 = 3950.7 miles.
Putting all of this together, we see that the center of the earth is at a distance of 3946.6 miles from the submarine near the North Pole, and the center of the earth in turn is 3950.7 miles from the South Pole.
Hence, the distance between the submarine and a person on the South Pole = 3946.6 + 3950.7 = 7897.3 miles.
When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.
In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be

or, in interval notation,
![(-\infty,-2]\cup (1,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%5Ccup%20%281%2C%5Cinfty%29)
In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.
This means that the difference between your numbers at 1 must be at most 4, which is modelled by

where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.
Answer:
61.5%
Step-by-step explanation:
Let's find all the demographics first:
Sophomores in the class(total 15):
Female: 5
Male : 10
Freshmen in the class(total 11):
Female: 3
Male: 8
There are 11 freshmen(male and female) and 5 female sophomores. Thus, the probability of choosing one of these 16 people in a class of 26 is 16/26 or 61.5%.