Answer:
The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the line y = x followed by a translation 10 units right and 4 units up. Thus, the correct answer is (1) y = x and (2) 10 units to the right and 4 units up.
Step-by-step explanation:
Answer:
The correct answer is the first solution set.
Step-by-step explanation:
If we substitute -20 into the equation we get
-20+17≤-3
-3≤-3
So,the inequality is right.
We can check the second one
14+17≤-3
31≤3 The inequality is false.
We can check the last one
-20+17≤-3
-3≤3 It works however there is a difference between the first one and the last one and that is the sign.For the first one there x≤-20 meaning the greatest number x can be is -20.For the last one x≥-20 which means -20 is the least value x can be.
If we substitude -21 into the equation we get
-21+17≤-3
-4≤-3
The inequality is false because -4 is not smaller than -3.
So,the right answer is the first solution set.
Answer:
A)336
B) In how many ways can you arrange 8 people in 3 different chairs?
C) 21
D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?
Step-by-step explanation:
A) P(n, r) = P(8, 3)
Formula for permutation is;
P(n, r) = n!/(n - r)!
P(8, 3) = 8!/(8 - 3)!
P(8, 3) = (8 × 7 × 6 × 5!)/5!
5! will cancel out to give;
P(8, 3) = (8 × 7 × 6)
P(8, 3) = 336
B) In how many ways can you arrange 8 people in 3 different chairs?
C) C(n, r) = C(7, 2)
Formula for combination is;
C(7, 2) = n!/(n - r)!r!
Thus;
C(7, 2) = 7!/(7 - 2)!2!
C(7, 2) = (7 × 6 × 5!)/(5! × 2 × 1)
5! will cancel out to give;
C(7, 2) = 7 × 6/2
C(7, 2) = 21
D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?
The answer would be a = v-w/k
