Vertex form is
where (h,k) is the vertex.
We can see that the vertex of the graph is at (2,0), and that the graph opens downwards, but does not look stretched at all.
Therefore,
a = -1
h = 2
k = 0
and our vertex form equation is
which is answer A
AB=√{(6+3)²+(6-2)^2}=√(81+16)=√(97)
BC=√((7-6)²+(-1-6)²)=√(50)=5√2
AC=√((7+3)²+(-1-1)²)=2√(26)
Perimeter=AB+BC+AC=√97+5√2+2√(26)
Answer: well the answer is 9
Step-by-step explanation:
See the attached figure to better understand the problem
we know that
PB+BQ=1000 ft------->PB=1000-BQ-------> equation 1
in the triangle PAB
tan 50=AB/PB----------> AB=PB*tan 50------> equation 2
in the triangle ABQ
tan 25=AB/BQ------> AB=BQ*tan 25-------> equation 3
equals equation 2 and equation 3
PB*tan 50=BQ*tan 25--------> equation 4
substitute equation 1 in equation 4
[1000-BQ]*tan 50=BQ*tan 25-----> 1000*tan 50-BQ*tan 50=BQ*tan 25
BQ*[tan 25+tan 50]=1000*tan 50-----> BQ=1000*tan 50/[tan 25+tan 50]
BQ=718.76 ft
PB=1000-718.76-----> PB=281.24 ft
AB=PB*tan 50-----> 281.24*tan 50------> 335.17 ft
the answer is
335.17 ft
This can be calculated easily.
As any two digit number can be written in the following form:
N= 10x +y
If we reverse the number now, it would become:
N' = 10y + x
So if we subtract one from the other, we should obtain 18 ( as mentioned in the question ).
N-N'= 18
=> x-y = 2
Thus, any number whose digits differ by two would be an aswer to the question.
The only numbers which satisfy this are : 13,24,35,46,57,68,79
But this would not be true for any 3 or more digit number.
