Answer:
If you reflect point x across the y axis, it will end up at (-1/2,0).
Step-by-step explanation:
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH
Answer: 1008 revolutions
Step-by-step explanation:
1 revolution is equal to 
To find how many revolutions the wheel makes, you must divide the distance traveled in the race between the circumference of the wheel
You must first convert 62.8318 in to meters.
We know that 1 inch is 0.0254 meters
Then
Finally The wheel made 1008.21 revolutions
I know its one of the congruent ones, as one is for sure a 90 degree angle, on top of an 180 degree angle, which by law of supplementary angles makes the other one 90 degrees. Not sure on the postulate, maybe someone else can help with that.
