<h3>
Answer: D) 1/3</h3>
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Explanation:
Start at (2,-3). Move up 3 and over to the right 6 spots to move to (8,0) which is where point F is located.
We can write the slope as rise/run = 3/6
Go back to (2,-3). Move up 1 and to the right 2 spots to arrive at F ' (4,-2)
Let's now compare the upward movements:
- Initially we moved up 3 units when trying to get to point F
- Now we're only moving up 1 unit when getting to F'
The starting point each time is (2,-3) which is the center of dilation. The jump from 3 to 1 is "times 1/3" and that's our scale factor. Every linear distance in the image is 1/3 times as long compared to the preimage.
We can also get the same scale factor when comparing the horizontal movements as well. The jump from 6 to 2 is also "times 1/3".
Answer:
The Answer is: The first number is 15 and the second one is 7.
Step-by-step explanation:
Let f = first number and s = second number
The difference between the two is 8:
f - s = 8
f = 8 + s
Twice the first number plus three times the second number is 51:
2f + 3s = 51
Substitute:
2(8 + s) + 3s = 51
16 + 2s + 3s = 51
16 + 5s = 51
5s = 51 - 16
5s = 35
s = 7, the second number
Find f:
f = 8 + 7 = 15, the first number
Proof:
f - s = 8
15 - 7 = 8
8 = 8
Hope this helps! Have an Awesome Day!! :-)
Answer:
c x+5 = 36
31+5=36
Step-by-step explanation:
Answer:
168
Step-by-step explanation: