X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)
Answer:
Angles supplementary to angle 9 = Angle <u>10</u>, <u>7</u>, <u>5</u>, <u>1</u>, <u>4</u>, <u>3</u>, <u>15</u>, <u>12</u>, <u>24</u>, <u>22</u>, <u>20</u>, <u>19</u>, and angle <u>16</u>.
Step-by-step explanation:
Use the vertical, and corresponding angles theorem to find congruent angles.
Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.
Something is supplementary if it adds to 180 degrees.
The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.
The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.
The point slope form equation is 3x + y = -35
For proportionality constant problems, set up the equation as,
,
Where x and y are the two variables you are comparing and <em>K </em>is the proportionality constant. If we take <em>Caramel Corn </em>values as x and <em>Cheddar Corn </em>values as y, and then solve for <em>K </em>for each ratio lines, we will get the same answer. Let's check.
,
, and
.
Hence, the proportionality constant, in this case <em>K,</em> is equal to
or 1.5. First answer choice is correct.
ANSWER: 1.5
The pattern is multiply by 4. so the next number is 4096