Answer:
+ 1
Step-by-step explanation:
Given
x² + 2x = 9
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1² = 9 + 1²
(x + 1)² = 10
-18 + 10 = -8
------------------------------------
Answer:
x = 1/20 y^2
Step-by-step explanation:
This is a rightward opening (sideways ) parabola
Directrix = x = -5
Distance formula form point x,y to directrix and focus are equal:
(x - -5)^2 = (x-5)^2 + y^2
x^2 + 10x + 25 = x^2 - 10x + 25 + y^2
20x = y^2
x = 1/20 y^2
Answer:
C. y = 1/2x - 14
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line parallel to y
=
1
/2
x
−
8
.
y
=
1
/2
x
−
14 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
1
/2
x
−
8
.
y
=
−
2
x
−
29 PERPENDICULAR
Im gonna take an educated guess on this. for the first part only one element has an outershell filled completely. but if they want two elements put chlorine. to lose electrons is probably helium to gain is magnesium. and the last one is lithium and helium because they're small and don't have allot of atomic mass
