Answer:
(a) Co-ordinate rule is 
and 
(b) Co-ordinates of B' and C' are 
and 
respectively.
Step-by-step explanation:
(a)
Here, the co-ordinates of A
are translated to A'
.
For the co-ordinates A and A', 
and 
So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.
Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:
and .
(b)
Using the co-ordinate rule, we can find the co-ordinates of B' and C'.
For B, 
and 
.
So, 
of B' is 
And, 
of B' is 
.
Therefore, co-ordinates of B' are .
For C, 
and 
.
So, of C' is 
And, of C' is 
.
Therefore, co-ordinates of C' are .
X=(-10,-1)=(Xx,Yx)→Xx=-10, Yx=-1
Y=(5,15)=(Xy,Yy)→Xy=5,Yy=15
y=?
ratio=5:3→r=5/3
y=(Yx+rYy) / (1+r)
y=[-1+(5/3)15] / (1+5/3)
y=[-1+(5*15)/3] / [(3+5)/3]
y=(-1+75/3) / (8/3)
y=(-1+25) / (8/3)
y=(24) / (8/3)
y=24*(3/8)
y=72/8
y=9
Asnwer: T<span>he y-coordinate of the point that divides the directed line segment XY in a 5:3 ratio is y=9</span>
Answer:
b) y= 3x - 5
Step-by-step explanation:
9x-15 ÷3 = 3x - 5
3y ÷ 3 = y
T Tardy– Student tardy for less than 30 minute with no valid excuse. W See Unexcused Absences (above). Z Excused Tardy– Student tardy to class but with an acceptable explanation, i.e. doctor/dentist.
