Problem 4
Find the distance from A to C using the distance formula
d = sqrt((x2-x1)^2+(y2-y1)^2)
d = sqrt((3-(-3))^2+(-1-1)^2)
d = sqrt((3+3)^2+(-1-1)^2)
d = sqrt((6)^2+(-2)^2)
d = sqrt(36+4)
d = sqrt(40)
d = 6.324555
which rounds to 6.3
You have the correct answer for problem 4
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Problem 5
The answer is not choice B (you mixed the inverse up with the contrapositive)
The answer is actually choice C
In general, a conditional is in the form "If P, then Q"
The inverse will have us negate the P and Q. They will stay in the same spot and not flip places
So the inverse would be "If not P, then not Q"
This is why the answer is choice C
Answer:4
Step-by-step explanation:
The answer to the question 100 divided by 25 equals 4.
Order does not matter so use "n choose k" formula is used to find number of unique combinations.
c=n!/(k!(n-k)!) where n is total possible choices and k is number of selections.
c=4!/(2!(4-2)!)
c=4!/(2!2!)
c=24/(2*2)
c=24/4
c=6
So there are 6 different two topping options when there are four different toppings to choose from.
Answer:
12 months
Step-by-step explanation:
Theres an awful amount of needless information to get through.
Only the last paragrph is needed.
C(t) = 180 + 10t
C(t) = 25t
Set the equations equal
25t = 180 + 10t
Subtract 10t from both sides
15t = 180
Divide both sides by 15
t = 12
