ALTITUDE
the altitude is the height of the traignel
if we graph the points, we get some lopsided triangle
so we know the altitude is peerpendicular to the base
so find the line that is perpendicular to the line tha passes through A and C
so first fid the line that passes through (-4,-2) and (18,-8)
slope=(y2-y1)/(x2-x1)
slope=(-8-(-2))/(18-(-4))=(-8+2)/(18+4)=-6/22
perpendicular lines have slopes the multipy to -1
-6/22 times what=-1
times both sides by -22/6
wat=22/6
that is the slope of the line that is the altitude
we have to use point slope form
the equation of a line that passes through (x1,y1) and has sloe of m is
y-y1=m(x-x1)
so passes through B (4,4) and has slope of 22/6
y-4=22/6(x-4)
y-4=22/6x-44/3
y=(22/6)x-32/3
that is the altitude
MEDIAN
the media is the line joining the midpoint of one side to the vertex of the other
so we need to find the line that passes through the midpoint of AB and through the point C
midpoint of (x1,y1) and (x2,y2) is
((x1+x2)/2,(y1+y2)/2)
so
midopint of (-4,-2) and (4,4) is
((-4+4)/2,(-2+4)/2)=(0/2,2/2)=(0,1)
so we just find the line that passes through (0,1) and (18,-8)
slope iis (-8-1)/(18-0)=-9/18=-1/2
a point is (0,1) and sloe si -1/2
y-1=-1/2(x-0)
y-1=1/2x
y=(1/2)x+1
ALTITUDE
y=(-6/22)x
MEDIAN:
y=(1/2)x+1
Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) = 
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 = 
3 = 1 + 
r = 100×(3 - 1)
r = 200
So the function is, f(x) = 
a). Population after 4 hours,
f(4) = 
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) = 
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) = 
= Infinite
Answer:
It’s C and B on eden
Step-by-step explanation:
I did it
Answer:
This system has no solutions.
Step-by-step explanation:
If we try to solve:
- 5x + 8 = 5x + 3
- 5x + 8 - 3 = 5x
- 5x + 5 = 5x
- 5x - 5x + 5 = 5x - 5x
- 5 = 0
Since there are no x values left over and the remaining solution is zero, there is no solution for this equation.
Hope this helps!!
1. 12 mph, 24 miles
2. m=4, y=22
3.15/1, $1500
4. x=30 y=60, k cheaper, j cheaper
