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 .
Step-by-step explanation:
Answer:
21 pencils for Nick and 63 pencils for Lance
Step-by-step explanation:
- Lance is said to have 3 times the pencils Nick has.
- Let's keep the number of pencils Nick has as x.
- If Nick has x pencils that means Lance has 3x pencils.
- The total number of pencils present is 84.
Now let's make an equation out of the information above:
3x + x = 84
Now solve for x.
3x + x = 84
4x = 84
x = 84/4
x = 21
So Nick has 21 pencils
Now for Lance:
3x
3 * (21) = 63
So Lance has 63 pencils
63 + 21 = 84 pencils
Answer:
96
Step-by-step explanation:
2 cans/24 = 8 cans/x
24 times 8/2 = 96
Answer:
There is no attachment
Step-by-step explanation:
They drop the parenthesis then they added the 2 equations in the numerator the divided the sum of two bye the denominator