Answer:
Extremely large and small numbers that have many zeros are long to write and take up a lot of room. So, by using scientific notation a number can be written shorter. For example, numbers such as 295,000,000,000 can be shortened to 2.95x
. This is easier to write and understand. This is why the scientific notation is used over standard.
Answer:
; 
Step-by-step explanation:
I have never done a problem like this, so this is my first time attempting it.
The standard form for the equation of a circle is:

Begin by grouping the 'x' terms and 'y' terms:

Complete the square for the second polynomial:





Do the exact same process with the other polynomial:

Complete the square:





Bring the 121 to the other side to get:


The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

Because, the total number of electrons is equal to the number of protons.
Answer:
c) -4/5
d) 4/5
Step-by-step explanation:
The given equation is 25x^2 -16 = 0
Adding 16 on both sides, we get
25x^2 = 16
Dividing both sides by 25, we get
x^2 = 16/25
Taking square root on both sides, we get
x = √(16/25)
x = ±4/5
Therefore, x = 4/5 and x = -4/5
Answers: C) and D)
Hope this will helpful to understand the concept.
Thank you.
Answer:
Step-by-step explanation:
1. Isolate Y by subtracting 6x from both sides.
2. Divide everything by 5, since 5 is the coefficient of Y
Final equation:
Y = 
Hope this helps!