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
Answer:
A
Step-by-step explanation:
We can plug in all of the x and y values to check if the point is a solution to the inequality.
Point A: x = 1, y = 7
7 > |1| + 5
7 > 1 + 5
7 > 6
This is a true statement, which means that this point is a solution to the inequality. We don't have to check any more points since we have found our answer.
Answer:
<em>no solution</em>
Step-by-step explanation:
6x+ 3(-2x+4)=-12
6x-6x+12=-12
12 is not equal to -12.
In one hour, they can make 32 bagels.
In 12 hours, they can make 384 bagels.
Answer:
29. x=5
30. a=7
31. r=8
32. c=4
33. w=3
34. m=9
Step-by-step explanation:
Hope this helps.