Answer:
1. 4
2. 16
3. 9
Step-by-step explanation:
Completing the square requires a quadratic in
form. Once in this form, calculate
.
1. 
2. 
3. Requires you divide everything by 3 first.


Answer:
{y,x} = {17/2,-11}
Step-by-step explanation:
Answer:
from this table we can tell Y is always 10 times bigger then X so we just have to multiply it again by ten so the answers are
300
500
700
The sequence given is 2, 6, 10, 14
Noticing this sequence, we will find that the sequence increases by 4 each time. This means that:
The next number = the current number + 4
In other words:
2
2+4 = 6
6+4 = 10
10+4 = 14
14+4 = 18
Therefore, the next number in the sequence would be 18
Answer:
146°
Step-by-step explanation:
Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.
Solution:
Given that:
arc AB = 64° and ⦣ABC=73°
The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle is any point along the outer arc AB and the two points A and B.
Therefore arc AC is the central angle of ⦣ABC. Using the central angle theorem gives:
arc AC = 2 * ⦣ABC
substituting:
arc AC = 2 * 73
arc AC = 146°