Asequence of translations maps ∆abc to ∆a’b’c’.
∆abc has vertices a(-3, 4), b(-3, 0), c(-1, 3)
the coordinates for a’ are (3, -4)

(a) what is the coordinate rule that maps ∆abc onto ∆a’b’c’?

(b) what are the coordinates for b’ and c’?

(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 .

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step-by-step explanation:

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p