Answer:
Third option is correct. Scale factor 3 ; enlargement.
Step-by-step explanation:
It is given that the figure A'B'C'D' is a dilation of figure ABCD.
We know that after dilation the corresponding sides of image and preimage are in the same proportion.
The image of AD is A'D'.
From the figure it is noticed that the A(-1,2), D(-1,-1), A'(-3,6) and D'(-3,-3).
Distance formula is



Scale factor is constant which represents the relation between image and preimage.



Therefore the scale factor is 3.
If k>0 it means enlargement and if k<0 it means reduction. Therefore third option is correct.
Answer:
1. 2/25
2. 4/15
Step-by-step explanation:
1. P(Y∩X)
Since P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.
So P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25
2. P(Y)· P(X)
P(Y)· P(X) = 2/3 × 2/5 = 4/15
Answer:
56
Step-by-step explanation:
This problem can be solved b using a combination. We're using a combination for this because the order in which you would pick the songs doesn't matter. To solve, we would plug in the number of songs we want to download, in this case 8, into the n value of the combination. Then we would plug in the number of songs that we can pick, in this case 3, in the r value of the combination. Solve the combination and we get 56.
How to reduce (simplify) ordinary fraction 8/21? Fraction can't be reduced (simplified). 8/21 = 0.380952380952; Result written as a positive proper fraction and a decimal number. Ordinary (simple, common) math fraction reducing to lowest terms (simplifying), answer with explanations below