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:
2/13 or 15.38%
Step-by-step explanation:
Number of Aces in a deck = 4
Number of 7s in a deck = 4
Number of cards in a deck = 52
Probability of A or 7 = (4 Aces + 4 Sevens) / 52 cards 8 cards / 52 cards
This simplifies to 2/13 or 15.38%
You need to multiply 19.797 by 10 two times to reach 1979.7
Answer:
-5/6, -2/5, 2/5, 5/6
Step-by-step explanation:
put the fractions in your calculator and then click the fraction to decimal button and press enter.
Answer: 22 Levels
Step-by-step explanation: He would need to go one level higher just to get to level one, and another 21 to get to the level that he wants to, so the total would be 22 levels.
