<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:1.
1. 3 yellow and 9 red
Step-by-step explanation:
- r, the amount of red cards, is represented ox x-axis
- y, the amount of yellow cards, is represented ox y-axis
In the picture attached, the system is represented. The darker area shows all the points that are a solution to the system of inequalities.
The combinations can be rewritten as a coordinate pair, as follows:
1. 3 yellow and 9 red -> (9,3)
2. 6 yellow and 4 red -> (4,6)
3. 9 yellow and 3 red -> (3,9)
4. 12 yellow and 8 red -> (8,12)
As we can see in the picture, only the first option is a solution.
Answer:
e
Step-by-step explanation:
Answer:
Here we want to solve the equation:
First, we can divide both sides by 11^3 to get:
Now remember that:
(√x)^2 = √(x^2) = x
then if we apply this to our equation we get:
now we need to solve:
Then x = 2.002