Answer:
Step-by-step explanation:
We are considering for non-parallel lines and no three intersections
Let's see how many open areas are produced by the lines on a plane
- 1 line = 2 open areas
- 2 line = 4 open areas
- 3 lines = 6 open areas and 1 closed region
- 4 lines = 8 open areas and 3 closed regions
- 5 lines = 10 open areas and 6 closed regions
and so on
We see a pattern of 2n open areas for n lines, so
Answer:
x^2-5x+10
Step-by-step explanation:
As they are two zeros and the standard equation is
x^2+(alpha+beta)x+alpha*beta
Answer:
Step-by-step explanation:
Given
The half-life of a sample is
Decay is given by
After 3 half-lives, one-eight of the sample is left
Insert the values
Answer:
Explained below
Step-by-step explanation:
Hi! Do you know the similar triangle rules?
I will prove one for you and you can try the rest
ΔCBD ~ ΔABC proof:
st | r
1) ΔABC is right Δ | Given
2) CD is alt to hyp | Given
3) m∠C = 90° | def right Δ
4) m∠CDB = 90° | def alt
5) m∠B = m∠B | reflexive property (more triangles share ∠B)
6) ΔCBD ~ ΔABC | AA (since two angles are equal, the two triangles are similar)
We do not need to prove all three angles as similar since if two corresponding angles of two triangles are congruent, the third has to be equal (since the total sum of angles is 180° in a triangle)
You can translate the statement reasoning into a paragraph
I hope this helps! If not, let me know and I will try and explain further :)