Unless otherwise specified we usually assume the dilation is about the origin. That is you can tell the scale factor by the way the distance to the origin changes.
Point C, for example, is 6 units from the origin. Its image, C' is 4 units from the origin. Then the scale factor image/original is 4/6 = 2/3.
Your green question mark gets filled with 3 to make the fraction 2/3.
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To find the translation, pick any point on A'B'C' and find the corresponding point A'', B'', or C''. Count the squares you have to go left to get from A' to A'', for example. That will be 5 to the left. Similarly, count the squares you have to go down to get from A' to A''. That will be 4 down.
Answer:
Step-by-step explanation:
Given equation is representing the graph of parabola which opens down and its pick is its vertex
<u>The vertex is calculated by vertex formula:</u>
- x = -b/2a for the equation y = ax² + bx + c
<u>In our case t is the vertex and its value is:</u>
- t = -42/(-1.5*2) = 42/3 = 14 seconds
Answer:
x=-2 y=7
Step-by-step explanation:
Answer:
N=9/2
Step-by-step explanation:
Question: <u>10=2N+1</u>
1) Subtract 1 from both sides:
9=2N
2) Divide both sides of the equation by 2:
N=9/2
