Assume (a,b) has a minimum element m.
m is in the interval so a < m < b.
a < m
Adding a to both sides,
2a < a + m
Adding m to both sides of the first inequality,
a + m < 2m
So
2a < a+m < 2m
a < (a+m)/2 < m < b
Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.
Answer:
8.4 cm
Step-by-step explanation:
The sides involved are opposite and adjacent to the given angle. Therefore, you should use the tangent ratio.
Substitute:
tanx = opp/adj
tan35 = x/12
Multiply by 12 on both sides:
12(tan35) = (x/12)12
12(tan35) = x
Solve:
12(tan35) = x
8.4 = x
Whenever there is no exponent on a variable,
you can give it an exponent of 1.
So we can rewrite the x's in this problem as x¹.
When we multiply two terms together
with like bases, we add their exponents.
So now just add their exponents to get x².
Answer:
x= -2/9
Step-by-step explanation:
2(x-2)/5=4x
2(x-2)=4x*5
2(x-2)=20x
x-2=20x/2
x-2=10x
-2=10x-x
9x= -2
x= -2/9
No she doesn't have enough money. All you do is multiply 8.60 by .2 which come out to 1.72 and 8.60 plus 1.73 which equals 10.33 so she needs 33 more cents tone able to tip 20%.
