Answer:
It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).
Step-by-step explanation:
We can demonstrate that Circle R is similar to Circle Q by translating the center of the former one to the center of latter one. Meaning that every point of circle R experiments the same translation. Vectorially speaking, a translation is defined by:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
If we know that 
and 
, then the translation vector is:
It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).
Commission formula : C = prn
C = commission
p = price of one item <===
r = commission rate
n = number of items sold
The equation of a circle:
(h,k) - the coordinates of the center
r - the radius
The center is (4,0), the length of the radius is 2√3.
Answer:
L=43 and W=22
Step-by-step explanation:
The perimeter of a rectangle is 130 meters. We also know the longest side called the length is 1 less than twice the width or 2w-1. The width is w. To find perimeter, you must use the formula P=2l+2w.
130 = 2(2w-1) +2w
130 = 4w -2 +2w
130 = 6w -2
132 = 6w
132/6 = w
22 = w
So the length is l=2w-1=2(22)-1 = 43
