We know that
the equation of the vertical parabola in the vertex form is
<span>y=a(x-h)²+k
</span>where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards
if a< 0
then the parabola open downwards
in this problem we have
f(x)=−5(x+7)²<span>+6
</span>a=-5
so
a< 0 -------> the parabola open downwards
the vertex is the point (-7,6) is a maximum
the answer is the option<span>
a = -5, opens down</span>
see the attached figure
Let's call the length L, the width w.
We have w=1+L/4.
The perimeter is P=2(L+w)=24 hence L+w=12
L+w=L+(1+L/4)=5L/4+1=12
Hence L=11/5*4=8.8 meters
The circle with center O has two chords AC and EF which are of same length 9.07.
OD and OB are the two perpendiculars drawn from the center O to the two chords AC and EF .It represents the distance of the chords from the centre.
The circle theorem states: congruent chords are equidistant from the center.
OD is congruent to OB.
Option A is the right answer.
Answer:
100.00
Step-by-step explanation:
x=number of months until the costs are the same
50 + 20x = 25 + 30x
25 = 10x
x = 2.5 months
50 + 2.5(20) =$100.00
Oh um... well let's see... okay I do NOT know this. SO sorry. Hope you get an answer soon.