Let's say we placed dominoes close together such that they only fell over one way: to the right hand side. Let's call the dominoes A and B.
Domino A is to the left of domino B. If we push over domino A, then it will hit domino B to cause it to fall over as well. We have a mini chain reaction of sorts. The fall of A triggers the fall of B, but not the other way around.
For this problem, we can think of domino A as "Jillian gets a raise" and domino B as "she will buy a new car". The raise causes her to get a new car, but not vice versa.
Since we're told in the last sentence she definitely got the raise, this must mean she will definitely get the new car.
In terms of symbols, the law of detachment is stated as
- If P, then Q
- P is true
- Therefore Q is true
Side note: some books might use the term "modus ponens" instead of "law of detachment". They're the same thing.
$12 for 3 pies = $4 for 1 pie
$10 for 2 pies = $5 for 1 pie
store A is the better buy
Answer:
a) The line intersects with the circle once.
b) Tangent
Step-by-step explanation:
We are given the following equation for the circle:
How many times does the line y=-6 intersect with the circle?
We have to find the values of x when 
So
Since the line intersects the circle at one point, it is tangent to the circle.
The line intersects with the circle once.
They are the same. deci means 10 (think decade is 10 years) so decimeter is cm/10 so 30/10=3decimeters
|6x + 5| = 7 · 3
|6x + 5| = 21
6x + 5 = 21 (1st equation)
-6x + 5 = 21
(1st equation)
6x = 21 - 5
6x = 16
x = 8/3
(2nd equation)
-6x - 5 = 21
-6x = 21 + 5
-6x = 26
x = -13/3
so all of the solutions are;
x = -13/3, 8/3
