19+17+4+4=44
56-44=12
20-12=8
No, and she needs 8 more dollars.
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)
When you see an equation with parenthesis around it, you can use this:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Otherwise known as PEMDAS.
We can see that in the equation, there are parenthesis, so we can open those. We open parenthesis by taking the number right next to the parenthesis (or outside the parenthesis) and we multiply that number by everything inside. So this is what it would look like:
-2x^2 - 10x + 8
See how the signs changed? This rule only applies when you multiply something, but here is how I think of it:
+ and + always equals +.
- and - always equals +.
- and + always equals -.
+ and - always equals -.
So that's it! Just to be clear, the answer is:
-2x^2 - 10x + 8
Hope I helped, sorry if I'm wrong!
`Mschmindy
<span>2.44948974278317788134</span>
Answer:
this kid gryson is deleting my answer and i dont know how when they arent even his questions and he is being a little brat
Step-by-step explanation:
