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)
One less than twice a number is seventeen.
Answer:
2x + 4y = 12 and y = -1/2x + 3
Answer:
7.94 x 10⁸miles
Step-by-step explanation:
Given parameters:
Distance of earth from sun = 9.3 x 10⁷miles
Distance of earth from Saturn = 8.87 x 10⁸miles
Unknown:
How much further from the sun is Saturn than Earth = ?
Solution:
To find the solution to this problem, let us find the difference between their distances:
( 8.87 x 10⁸ miles - 9.3 x 10⁷ miles )
= 88.7 x 10⁷ miles - 9.3 x 10⁷ miles
= (88.7 - 9.3) x 10⁷miles
= 79.4 x 10⁷miles
= 7.94 x 10⁸miles
The answer would be 30.0385
