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:
They are neither perpendicular nor parallel.
Step-by-step explanation:
Find the gradient of 2x + 6y = 42 by rearranging it in the form y = mx + c:
6y = -2x + 42
y = -(1/3)x + 7
The gradient is the co-efficient of x
Therefore the gradient is -(1/3)
The gradient of y = 2x - 1 is 2.
If they were parallel they would have the same gradient.
If they were perpendicular then the gradient of one would be the negative reciprocal of the other, e.g: if one was 2, the other would be -(1/2).
Neither of these are true, so they are neither perpendicular nor parallel.
If this question had an answer choice I would say it will take the second skater 20 seconds to pass the first one. If you graph it the graph will tell you this odd fraction 40/2 simplify equals a fair 20. With that being said answer= 20 seconds.
Answer:
Step-by-step explanation:
can be simplified to .
2 ÷ 2 = 1
------------
10 ÷ 2 = 5
Answer:
13/20
Step-by-step explanation:
Another way of asking this question is to ask for the difference of 1/4 and 9/10. The equation will start with 9/10 - 1/4.
9/10 - 1/4
Equations can only be added or subtracted when the denominators (bottom numbers) are the same. To do this, you must find a number that can be divided by both denominators. In this case, 20 can be divided by 4 and 10.
(9*2)/(10*2) = 18/20
(1*5)/(4*5) = 5/20
18/20 - 5/20 = 13/20
13/20 cannot be simplified as 13 is a prime number
13/20