Answer:
Sedan: 4 passengers
Minivan: 6 passengers
Step-by-step explanation:
We can write the following system of equations:
, where
represents the number of people a sedan can seat and
represents the number of people a minivan can seat.
Subtracting the first equation from the second, we have:

Now plug in
in any of the equations to solve for
:

Verify that the solution pair
works:

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.
D=dante's cards number
a=anna's cards number
d=60
this (d) is at least (smallest is, aka greater than or equal to or <u>></u>) 6 more than (+6) 3 times as many as anna (3 times a or 3a)
d<u>></u>6+3a
d=60
60<u>></u>6+3a
subtract 6 from both sides
54<u>></u>3a
divide both sides by 3
18<u>></u>a
anna has at least 18 cards
I will do Point A carefully, The others I will indicate. Start with the Given Point A. Then do the translations
A(-1,2) Original Point
Reflection: about x axis:x stays the same; y becomes -y:Result(-1,-2)
T<-3,4>: x goes three left, y goes 4 up (-1 - 3, -2 + 4): Result(-4,2)
R90 CCW: Point (x,y) becomes (-y , x ) So (-4,2) becomes(-2, - 4): Result (-2, - 4)
B(4,2) Original Point
- Reflection: (4, - 2)
- T< (-3,4): (4-3,-2 + 4): (1 , 2)
- R90 CCW: (-y,x) = (-2 , 1)
C(4, -5) Original Point
- Reflection (4,5)
- T<-3,4): (4 - 3, 5 + 4): (1,9)
- R90, CCW (-9 , 1)
D(-1 , -5) Original Point
- Reflection (-1,5)
- T(<-3,4): (-1 - 3, 5 + 4): (-4,9)
- R90, CCW ( - 9, - 4)
Note: CCW means Counter Clockwise
The graph on the left is the same one you have been given.
The graph on the right is the same figure after all the transformations
Yes i believe thats it ok