Answer:
-48
Step-by-step explanation:
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.
Hmm
let's try some numbers
we have 3 scenarios
x>y
x=y
x<y
x>y
x=-1 and y=-2
x-y=-1-(-2)=-1+2=1
it's positive when x>y
x=y
x=-1, y=-1
-1-(-1)=-1+1=0
nope
x<y
x=-2 and y=-1
-2-(-1)=-2+1=-1
nope
x-y is positive when 0>x>y
Answer:
17 cows and 6 geese
Step-by-step explanation:
1. set up two equations:
C + G = 23 (number of cows and geese = total number of animals)
4C + 2G = 80 (cows have 4 legs, geese have 2 legs and the total # of legs is 80)
2. 2(C+G)=2(23) ===> 2C + 2G = 46
3. subtract 4C + 2G = 80 and 2C + 2G = 46 to equal 2C=34, divide by 2 and C=17 (17 cows)
4. apply 17 back to the original (C + G = 23) equation to get: 17 + G = 23, subtract 17 from 23 and G=6 (6 geese)
i hope the way i explained it was clear! :)
Answer:
Obtuse
Step-by-step explanation:
Plugging the numbers into the Pythagorean Theorem (a^2 + b^2 = c ^2)
20^2 = 12^2 + 15^2
400 > 144 + 225
400 > 369
Because of the Converse of the Pythagorean Theorem, which tells us if c is greater than a+b, it is obtuse
