Simple way to see it is to multiply the value opposite of the axis you're flipping it over by -1. For example the point (-5,7) would become (5,7) when reflected over the y-axis, because the point is moving from the left to the right. This means the triangle would be (1,3) (5,3) and (5,7) when reflected over the y-axis. For reflection over the x-axis it would be (-1,-3) (-5,-3) and (-5,-7) because each point is moving down.
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:
B, C, F
Step-by-step explanation:
3/4 is 3 times 1/4, so the number of walls Dan can paint is 3 times the number of cans Dan uses.
A. 1/2 can will paint 3/2 walls, not 2.
B. 1 can will paint 3 walls — true
C. 5/3 cans will paint 5 walls — true
D. 2 cans will paint 6 walls, not 8.
E. 5/2 cans will paint 15/2 = 7 1/2 walls, not 10.
F. 11/3 cans will paint 11 walls — true
Answer:
+ 9x +18
Step-by-step explanation:
multiply the parentheses together (x × x)=x² and x×6=6x then do 3×x which will equal 3x and then multiply 3 and 6 which is 18
now combine like terms (x²+6x+3x+18)
6+3=9 so now you will have x²+9x+18
