X 2 − 10 x − 18 y − 2 = 0 Explanation: for any point ( x , y ) on the parabola the distance from ( x , y ) to the focus and directrix are equal ⇒ √ ( x − 5 ) 2 + ( y − 3 ) 2 = | y + 6 | squaring both sides ( x − 5 ) 2 + ( y − 3 ) 2 = ( y + 6 ) 2 ⇒ x 2 − 10 x + 25 + y 2 − 6 y + 9 = y 2 + 12 y + 36 ⇒ x 2 − 10 x − 18 y − 2 = 0
Answer:
heart exclamation mark
Step-by-step explanation:
you could also maybe make it into a really badly done pokeball
Answer:
55M
Step-by-step explanation:
156 and (14y+30) are opposite angles so they are the same. You can use this information to put them into an equation to solve;
14y+30 = 156
You want you the the y's alone, so you subtract 30 from each side.
14y = 126
Then divide each side by 14 to get what just 1 y is.
y = 9
Then to find what the other pair of opposite angle add up to subtract 156x2 from 360
156x2 = 312 360-312 = 48
Halve 48 to get the sum of just one of the opposite angles
48/2 = 24
Now you know that 3x = 24. Solve this equation
x = 8
Part A: B)35
As the angle y° equals to angle 2x°, y=2x.
And the sum of the angle (x+y+5°)and the angle 2x° is 180°.Therefore,
x+y+5°+2x =180°
x+2x+5°+2x=180°
5x+5° =180°
5x =175°
x =35°
Part B: C)110°
As I said, y =2x
And the unlabled angle eaquals to the angle(x+y+5°).
Therefore,
the unabled angle= x+y+5°
=x+2x+5°
=3x+5°
=3(35°)+5°
=110°
