For every point A = (x,y) in your figure, a 180 degree counterclockwise rotation about the origin will result in a point A' = (x', y') where:
x' = x * cos(180) - y * sin(180)
y' = x * sin(180) + y * cos(180)
Happy-fun time fact: This is equivalent to using a rotation matrix from Linear Algebra!
Because a rotation is an isometry, you only have to rotate each vertex of a polygon, and then connect the respective rotated vertices to get the rotated polygon.
You can rotate a closed curve as well, but you must figure out a way to rotate the infinite number of points in the curve. We are able to do this with straight lines above due to the property of isometries, which preserves distances between points.
Answer:
see below
Step-by-step explanation:
we are given
we want to prove it algebraically
to do so rewrite 30:
let 29 be a thus substitute:
factor the denominator:
Factor out a²:
factor out 1:
group:
reduce fraction:
substitute back:
simplify substraction:
hence Proven
Answer:
that is the solution to the question
Answer:
NO
Step-by-step explanation:
2/7 x 35 = 10 pounds
He needs 10 pounds but George only has 8 pounds of turkey. So, no
Hope that helps!