Answer:
2√10
Step-by-step explanation:
Given the coordinates (-6, 2) and (0,0)
We are to find the distance between the coordinates. Using the distance formula;
d = √(x2-x1)²+(y2-y1)²
d = √(0-2)²+(0+6)²
d = √(-2)²+(6)²
d = √4+36
d = √40
d = √4*10
d = 2√10
Hence the required distance is 2√10
An equation for the parabola would be y²=-19x.
Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis. This means we will use the standard form
(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.
Beginning with the directrix:
x=h-p=4.75
h-p=4.75
Since the vertex is at (0, 0), this means h=0 and k=0:
0-p=4.75
-p=4.75
p=-4.75
Substituting this into the standard form as well as our values for h and k we have:
(y-0)²=4(-4.75)(x-0)
y²=-19x
Answer:
187*
Step-by-step explanation:
167 plus 20 is 187
hope this helps
