perpendicular slopes are those that are flipped and opposite signs to the original slope
Answer:
Step-by-step explanation:
Four friends go out to lunch together.
For what number of toppings is the price of a personal pizza the same as a calzone?
Let us represent the number of toppings as x
We need to know the price of a personal pizza and the price of a calzone
Mike orders a personal pizza with 2 toppings for $7.00.
2x = $7
x = $7/2
x = $3.50
Dustin orders a personal pizza with 5 toppings for $9.25.
5x = $9.25
x = $9.25/5
x = $1.85
Lucas orders a calzone with 1 topping for $5.75.
x = $5.75
Will orders a calzone with 4 toppings for $8.75.
4x = 8.75
x = 8.75/4
x =2.1875
Answer:
x > -3/14
Step-by-step explanation:
<u>Step 1: Subtract 2x from both sides</u>
16x - 2x > 2x - 3 - 2x
14x > -3
<u>Step 2: Divide both sides by 14</u>
14x / 14 > -3 / 14
x > -3/14
Answer: x > -3/14
Answer: The negations are:
1. The train is not late and my watch is not fast.
2. Dogs don't bark or cats don't meow.
Step-by-step explanation:
Hi!
De Morgan's laws for two propositions P and Q are:
1. ¬(P ∨ Q) = (¬P) ∧ (¬Q)
2. ¬(P ∧ Q) = (¬P) ∨ (¬Q)
where the symbols are,
¬ = not
∨ = or
∧ = and
1. In this case the proposition is P ∨ Q, with
P = "the train is late"
Q = "my watch is fast"
Then by law 1: ¬(P ∨ Q) = "The train is not late and my watch is not fast"
2. In this case the proposition is P ∧ Q, with
P = "dogs bark"
Q = "cats meow"
Then by law 2: ¬(P ∧ Q) = "Dogs don't bark or cats don't meow"
The statements above can be written in 6 different forms.