Answer: The given logical equivalence is proved below.
Step-by-step explanation: We are given to use truth tables to show the following logical equivalence :
P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)
We know that
two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.
The truth table is as follows :
P Q ∼P ∼Q P⇔ Q ∼P ∨ Q ∼Q ∨ P (∼P ∨ Q)∧(∼Q ∨ P)
T T F F T T T T
T F F T F F T F
F T T F F T F F
F F T T T T T T
Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.
Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).
The value of the y coordinate of any point on the x axis is always 0.
<u><em>Explanation</em></u>
Suppose, the co ordinate of any point is
.
It means, the distance of the point from x-axis is '
' and distance from y-axis is '
'.
Now if the point lies on the x-axis, that means the distance of the point from x-axis will be 0. Thus, the value of '
' will be 0.
So, the value of the y coordinate of any point on the x axis is always 0.
Answer:
ngl i learned this type of math pretty sure, and that looks better than my teachers own notes-
Step-by-step explanation:
ima go poof again cuz if i don't ima lose my game ;-;
Answer:
Step-by-step explanation:
Formula
Area = B * h
Givens
Base = 2.5
height = 5.25
Solution
You choose the value for the base and height from the fact that the height touches the base (which has been extended) at right angles.
Area = 2.5 * 5.25
Area = 13.125
Answer: Area = 13.125 or 13 1/8