Answer:
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
A Translation is defined as a transformation in which the figure is moved a fixed distance in a fixed direction. In this kind of transformatiosn the size and shape do not change and the figure is not flipped.
In this case you know that the Pre-Image is the Triangle FGH.
You can identify in the picture that its vertex H has these coordinates:
Where:
Since the rule is:
→
You can substitute the coordinates of H into the given rule in order to find the coordinates of H'. This is:
Answer:
Step-by-step explanation:
The given equation is .
We take logarithm of both sides to base 2 to get:
Apply the power rule of logarithms to get:
We now apply the change of base formula:
To the nearest thousandth,
This question is incomplete, here is the complete question
What is the recursive formula for this geometric sequence 2, -10, 50, -250, .... ?
The recursive formula for this geometric sequence is:
= 2; = (-5) •
Step-by-step explanation:
To find the recursive formula for a geometric sequence:
- Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next?)
- Find the common ratio. (The number you multiply or divide.)
- Create a recursive formula by stating the first term, and then stating the formula to be the common ratio times the previous term.
The recursive formula is:
= first term; = r • , where
- is the first term in the sequence
- is the term before the nth term
- r is the common ratio
∵ The geometric sequence is 2 , -10 , 50 , -250
∴ = 2
- To find r divide the 2nd term by the first term
∵
∴
- Substitute the values of and r in the formula above
∴ = 2; = (-5) •
The recursive formula for this geometric sequence is:
= 2; = (-5) •
Learn more:
You can learn more about the geometric sequence in brainly.com/question/1522572
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Answer:
T= 6
Step-by-step explanation:
T-5=1
find T
+5 to both sides
T= 6
Answer: If each person tells 2 people each day, 1,024 people will know in 10 days.
Step-by-step explanation: Basically it is 2 to the 10th power. It is 2 to the 10th power because in 10 days 2 people each day are getting told this information and those same 2 people spread this information. So if 2 people each day for 10 days tell people about the product, 1,024 will know by the tenth day.