Cupcakes are packed 6 to a box. If Abby only buys full boxes of cupcakes give two possible numbers of cupcakes that she could bu
2 answers:
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Answer:
a =
Step-by-step explanation:
Given
ai + bj and 5i - 2j are perpendicular and b = 3, that is
ai + 3j and 5i - 2j are perpendicular, then
The scalar product = 0 , that is
5a - 6 = 0 ( add 6 to both sides )
5a = 6 ( divide both sides by 5 )
a =
When a triangle is rotated, it must be rotated through a center of rotation.
Assume the coordinate of LMN is
The rule of 180-degree rotation is:
So, we have:
See attachment for the graphs of LMN and L'M'N
<u>(a) Describe the transformation</u>
When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'
<u>(b) Lines LL' and MM'</u>
The distance between point L and the center of origin is the same as the distance between point M' and the center of origin
Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin
<u>(c) Line NN'</u>
Line NN' will assume the same characteristics as lines LL' and MM'
Read more about transformations at:
