Answer:
- reflection about the x-axis
- translation down 2 units
- translation right 3 units
Step-by-step explanation:
1.a.
3 1/3 - 2 5/6 =
= 10/3 - 17/6
= 20/6 - 17/6
= 3/6 = 1/2
1.b.
1/2 * 3 1/3 + 1/2 * 2 5/6 =
= 1/2 * 10/3 + 1/2 *17/6
= 10/6 + 17/12
= 20/12 + 17/12
= 37/12
= 3 1/12
2.a.
2 1/3 - 1 1/2 =
= 7/3 - 3/2
= 14/6 - 9/6
= 5/6
2.b.
1/12 * 5/6 = 5/72
3.
3 3/8 * 3 =
= 27/8 * 3/1
= 81/8
= 10 1/8
4.
6 1/4 - 5 1/2 =
= 25/4 - 11/2
= 25/4 - 22/4
= 3/4
(3/4)/(6 1/4) =
= (3/4)/(25/4)
= 3/4 * 4/25
= 3/25
Answer:
+4i is also a root.
Step-by-step explanation:
Imaginary roots always occur in conjugate pairs.
This means that if -4i is a root of an equation then 4+i should also be a root. -4i can never be the only root.
So, the student's mistake is in claiming that -4i is the only root.
A quadratic equation which has +4i and -4i as roots: (x² + 4) = 0.
Answer:
Marie's bucket holds the least amount of water.
Step-by-step explanation:
Sammy's bucket holds 2.53 liters of water. (2530 / 1000 = 2.530)
Marie's bucket holds 2.03 liters of water. (2 + 0.030 = 2.030)
Katie's bucket holds 2.35 liters of water. (2 + 0.350 = 2.350)
If you compare all these values, 2.03 is the least out of all of them.