Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)
we just need the slope
take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1
the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation
solve for where y=x-1 and y=x-x² intersect
set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero
x-1=0
x=1
we got this point already
x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2
it intersects at (-1,-2)
Answer:
12 miles
Step-by-step explanation:
60 min in 1 hr and 10 min = 1 mile..... so 6, 10 min intervals..... and so 6 time 2 is 12
Answer:
773 milligrams
Step-by-step explanation:
1000-223=773
Answer:
108.7 ft
Step-by-step explanation:
Put 30 where x is and do the arithmetic.
y = -3.29·30 -10 = -98.7 -10 = -108.7
The trend line predicts the depth to be 108.7 ft after 30 minutes.
_____
<em>Comment on this problem</em>
Real-world considerations in scuba diving may cause the diver to level off or head toward the surface before 30 minutes elapse. The trend line does not model these effects.
It's decreasing to the left and increasing to the right
