Answer:
-9
Step-by-step explanation:
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
Answer:
Since the focus is at (-6,-11) and the directrix is at y=9:
The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1). (Draw this on graph paper if that doesn't make sense.)
The general form (conics form) of a parabola: 4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).
(h,k) = (-6,-1)
p = 10 (distance between focus and vertex), so 4p = 40.
Therefore:
40(y+1)=(x+6)^2
Or if you need to rearrange to "vertex form": y=(1/40)(x+6)^2 - 1
Step-by-step explanation:
Answer:
<h3><X = 63</h3>
Step-by-step explanation:
USing SOH CAH TOA
sin theta = opposite/hypotenuse
sin <X = WV/VX
sin <X = 8/9
<X = arcsin(8/9)
<X = arcsin(0.8889)
<X = 62.7 degrees
Hence the value of x is approximately 63degrees
Answer:
y=mx+b where m is slope and b is y int
Step-by-step explanation:
1) slope 1/4 and yint 8
2) slope -2 and yint -3
3)slope 0 and y -int is 0 when there is no b
4) Slope is 0 and y int is 7 when there is no B
