Answer:
-2/3
Step-by-step explanation:
because this is in slope intercept form, m is the slope, so in this case -2/3 is the slope
parallel lines always have the same slope and different y-intercepts
a parallel line could be y=-2/3 +15
We know that
case a)the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.
Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1
Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1
the answer isa=1/9case b)the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h,
where (h, k) is the vertex.
Using our vertex, we have:
x=a(y+1)²+2,
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2
the answer isa=3
see the attached figure
5/9 because 15 + 12 = 27 and 15 are sunroofs so 15/27, I would simplify it to 5/9 but you can either have
15/27 or 5/9
The answer would be 2.5.
hope this helps (;