Answer:
the vertex of the parabola is:(-2,0)
the focus of the parabola is:(-2,
)
the directrix of the parabola is:y=
Step-by-step explanation:
we know that for any general equation of the parabola of the type 
the vertex of the parabola is given by (h,k)
where 
and 
therefore by the given data we have h=-2 and k=0
hence vertex=(-2,0)
the general equation of the parabola of the type 
; the parabola symmetric around the y-axis has the focus from the centre i.e. the vertex (h,k) at a distance a as (h,k+a) and the directrix is given by y=k-a
so focus is 
now the directrix of the parabola is 
.
Answer:
the domain is -11,10 but i didnt know if you wanted that or not
Step-by-step explanation:
Answer:
=94 cm
Step-by-step explanation:
Using the Triangle angle bisector theorem
We can find the value for YK
TV VY
------- = -----------
TK YK
95.2 34
------- = -----------
168 YK
Using cross products
95.2 * YK = 34* 168
Divide each side by 95.2
YK = 34* 168/95.2
YK =60
We want to find VK
VK = VY+YK
= 34+60
=94 cm
X+10=110-4x
-x from both sides
10=110-5x
subtract 110 from both sides
-100=-5x
divide both sides by -5
x= 20
Answer:
Michael worked 4 hours and Landon worked 10 hours.
Step-by-step explanation:
Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:
40x+20y=360
40x+20y=360
Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.
x+y=14
Write System of Equations:
40x+20y= 360
x+y=14
Solve for y in each equation:
40x+20y = 360 x+y = 14 20y = -40x+360
=
y = -2x+18
