Assume P(xp,yp), A(xa,ya), etc.
We know that rotation rule of 90<span>° clockwise about the origin is
R_-90(x,y) -> (y,-x)
For example, rotating A about the origin 90</span><span>° clockwise is
(xa,ya) -> (ya, -xa)
or for a point at H(5,2), after rotation, H'(2,-5), etc.
To rotate about P, we need to translate the point to the origin, rotate, then translate back. The rule for translation is
T_(dx,dy) (x,y) -> (x+dx, y+dy)
So with the translation set at the coordinates of P, and combining the rotation with the translations, the complete rule is:
T_(xp,yp) R_(-90) T_(-xp,-yp) (x,y)
-> </span>T_(xp,yp) R_(-90) (x-xp, y-yp)
-> T_(xp,yp) (y-yp, -(x-xp))
-> (y-yp+xp, -x+xp+yp)
Example: rotate point A(7,3) about point P(4,2)
=> x=7, y=3, xp=4, yp=2
=> A'(3-2+4, -7+4+2) => A'(5,-1)
44 attendees. The budget is at $2 per attendee, so if you spend $2 on 44 attendees that will equal $88
Let's change Jeff to Geoff so we have salaries
Translating into symbols, ignoring the irrelevant work histories,
f=3g
m=50000
j=60000
w=2m
g= (3/4) m
Solve for f
j seems unconnected and we can ignore w too.
f=3g = 3(3/4) m = 3(3/4) (50000) = 112500
Frank's salary is
Answer: $112,500
Answer:
Diameter = 53.41 m
Step-by-step explanation:
2517/15 = 167.8 (circumference)
D=(C/pi)
C/pi = 53.41
D= 53.41
There are 12 inches in a foot. You would have to multiply 2.54 by 12 and get 30.48 centimeters. in a yard there are 3 feet which means there are 36 inches. You would multiply 36 by 2.54 and get 91.44 centimeters.