Answer:
<em>The slope is steeper and the line is shifted downwards. </em>
<em>The y-intercept is shifted downwards. </em>
Step-by-step explanation:
We proceed to demonstrate the transformation from the line A to line B:
1)
Given.
2)
Vertical dilation.
3)
Vertical shift of the line in 5 units in the -y direction/Result
Hence, the answer is:
<em>The slope is steeper and the line is shifted downwards. </em>
<em>The y-intercept is shifted downwards. </em>
That's the Law of Syllogism
Let's go through the list.
Substitution property
This is a very general rule in math that allows us to substitute things that are equal for one another.
Symmetric property
Abstractly, a relation is a set of ordered pairs. A relation R is symmetric when
![(a,b) \in R \iff (b,a) \in R](https://tex.z-dn.net/?f=%28a%2Cb%29%20%20%5Cin%20R%20%5Ciff%20%28b%2Ca%29%20%5Cin%20R)
Usually we talk about equality or congruence being symmetric: a=b implies b=a.
Law of Syllogism
That's a rule of logic that says if <em>a implies b</em> and <em>b implies c</em> then <em>a implies c. </em> Again it's a very general rule that applies across all mathematics.
Law of Detachment
This one is more commonly known as modus ponens. It's a general rule of formal logic, applying across all mathematics.
If we know two propositions <em>p implies q</em> and <em>p</em> then we can conclude a third proposition, <em>q.</em>
Formal logic acts at a purely syntactic level. It is a mechanistic pushing around of symbols on the page. Nonetheless, in the real world when the premises of an argument are true, the conclusions drawn as a result of formal logic will be true as well.
Answer: Law of Syllogism
Answer:
4, 3, 1, 2, 5
Step-by-step explanation:
The numbers on the left evaluate to ...
- 3.93×10^4
- 5.87×10^4
- 2.07×10^3
- 1.84×10^2
- 8.74×10^11
So, their order, smallest to largest, is 4, 3, 1, 2, 5.
__
Your calculator works well for this.
Answer:
person
Step-by-step explanation:
9 person × 5 hours
= 45 person-hours
Sorry if there any mistakes