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)
Hey! Let's go through this.
If she has 42 dollars and she buys 3 $7 t-shirts, we can use multiplication to see that she spent 21 dollars on t shirts, meaning she has 42-21 dollars left, or 21 dollars left.
If she has 21 dollars left and glasses sell for $6, then the most she can buy (keep in mind we can't buy a fractional part of a pair of sunglasses) at most 3 pairs, because if she bought four, she'd go over her spending limit.
Hope this helps!
Alright.
So, we have 2185 student in Rose.
Lily School has 307 more students than Rose, so Lily has,
2185 + 307 = 2492 Students in Lily School.
Since question a. is asking you to round off to the nearest ten, your answer to part a is 2490.
For part b. add 2185 and 2490.
2185 + 2490 = 4675 students.
The questions want you to round to the nearest hundredth, so,
4700 is the answer to part b.
Answer:
0
Step-by-step explanation:
find mean : 2+3+4+7 divided by 4 equals 4
subtaract mean from valuses: 2-4= -2 , 3-4= -1 , 4-4= 0 , 7-4= 3 ,
find mean with new numbers: -2+-1+3+0 divided by 4 equals 0 (everything cancels out)
Answer:
-4 83/100 8 3/10
Step-by-step explanation:
