Dilation involves changing the size of a shape.
- See attachment for the graphs of ABC, A'B'C and A"B"C"
- A"B"C" is a dilation of A'B'C', with a scale factor of 1/4
From the given diagram, we have:
<u>(a) Dilate by scale factor 2 with center (0,0)</u>
We simply multiply the coordinates of ABC by 2
So, we have:
See attachment for the graph of A'B'C'
<u>(b) Dilate by scale factor 2 with center (0,0)</u>
We simply multiply the coordinates of ABC by 1/2
So, we have:
See attachment for the graph of A"B"C'
<u>(c) Is A"B"C" a dilation of A'B'C</u>
Yes, A"B"C" is a dilation of A'B'C
- <em>ABC is dilated by 2 to get A'B'C</em>
- <em>ABC is dilated by 1/2 to get A"B"C</em>
So, the scale factor (k) from A'B'C' to A"B"C" is:
The scale factor (k) from A'B'C' to A"B"C" is 1/4
And the center is (0,0)
Read more about dilations at:
brainly.com/question/13176891
Answer:
30 mph
Step-by-step explanation:
Let d = distance (in miles)
Let t = time (in hours)
Let v = average speed driving <u>to</u> the airport (in mph)
⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)
Using: distance = speed x time
Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:
We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:
Now all we have to do is solve the equation for v:
As v is positive, v = 30 only
So the average speed driving to the airport was 30 mph
(and the average speed driving from the airport was 45 mph)
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
#LearnwithBrainly
Answer:
it is 30
Step-by-step explanation:
i nailed the test
Answer: 473.39
Step-by-step explanation:
444.50 + 0.065*444.50 = (1 + 0.065)*444.50 = 1.065*444.50 = $473.39