Answer:
z' = 2iz +11 -2i
Step-by-step explanation:
Dilation multiplies each point by the scale factor. Rotation by 90° CCW is equivalent to multiplication by i.
When the center is not the origin, the transformation is applied to the difference from the center, then the result is added to the center.
z' = 2i(z -(3+4i)) + (3+4i)
Simplifying gives ...
z' = 2iz -6i +8 +3 +4i
z' = 2iz +11 -2i
_____
<em>Check</em>
For example, consider the point 1 unit east of the center of dilation/rotation. That point is z = 4+4i. Applying the transformation moves this point to ...
z' = 2i(4 +4i) +11 -2i = 8i -8 +11 -2i
z' = 3 +6i . . . . . 2 units north of the center of dilation/rotation
This is where it is expected to be after dilation by a scale factor of 2 and rotation 90° CCW.
Answer:
9 1/3
Step-by-step explanation:
Let us assume number of toppings = n
Total weight of sundae = s
Quantity of Ice cream = 2 kilograms.
We need to discribe the total weight of the special sundae in kilograms by an inequality.
The sundae contains ice cream and number of toppings. So the total weight of the sundae will be greater than the total weight of ice cream and number of toppings, because there would be some weight of the packing.
Therefore,
The total weight of the sundae > total weight of ice cream + weight of toppings.
s > 2 + n.
Where, s is the total weight of the sundae and n is the weight of toppings.
-12 because if we remove the parentheses and evaluate the problem we could get -12
Answer:
nickles
Step-by-step explanation:
0.35 x 3= 1.50
so yeah I think so And happy thx giving!