Step-by-step explanation:
10^2 = 100
10^-2 = 1/100 ➡ 0.01
4/20 simplified would be 1/5. You must know what simplify means first. It means to break down a fraction to its simplest form. So, to simplify 4/20, you must divide 4 from the denominator and numerator. A numerator is a number that is the number above the line. A denominator is the number on the bottom of the line.
Dividing 4 from the denominator and numerator would make it 1/5. Therefore, the answer in simplest form is 1/5. Good luck!
Answer:
4x - 5y + 30 = 0
Step-by-step explanation:
When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.
It is given by:

where
is the slope of the line and
is the point passing through it.
Here
and
.
Substituting in the equation we get



Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.
1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
According to this theorem,

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

Take positive value x. You get

2. According to the previous theorem,

Then

Answer: 
This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

This means that you cannot find solutions of this equation. Then CD≠2 cm.
The fourth one since it will pass the vertical test.