P = 77.
side (S1, S2) = 2(B) - 4.
P = S1 + S2 + B.
77 = (2B - 4) + (2B - 4) + B.
77 = 2B - 4 +2B - 4 + B.
77 = 5B - 8.
77 + 8 = 5B.
85 = 5B
B = 85/5
B=17 ft
Answer:
1/26
Step-by-step explanation:
There is only one 6 of hearts and only one ace of diamonds.
The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.
The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results: 1/52 + 1/52 = 2/52 = 1/26.
Terrence is not correct.
Terrence is not correct because pi is an irrational number, and it goes on forever with no actual sequence.
Answer:
Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.
Step-by-step explanation:
First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.
However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.
Note:
If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.
Answer:
Step-by-step explanation:
The point slope form of a straight line is expressed as
y - y1 = m(x - x1)
Where
m represents slope of the line
y1 represents the initial value of y
x1 represents the initial value of x
If two lines are parallel, it means that they have the same slope. From the equation of the given line, slope = 1/2
Therefore,
m = 1/2
x1 = - 3
y1 = - 2
Substituting into the point slope equation, it becomes
y - - 2 = 1/2(x - - 3)
y + 2 = 1/2(x + 3)
The equation is
y + 2 = 1/2(x + 3)
