Answer:
x = 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k ) are the coordinates of the vertex and a is a multiplier
h(x) = 19(x - 5)² + 6 ← is in vertex form
with vertex (h, k ) = (5, 6 )
The axis of symmetry is a vertical line passing through the vertex
with equation x = 5
(x,y) —> (x+2,y-3)
Or
Translate up 2 and down 3
We have a total of 178 6th and 7th graders. And we are informed that there are 12 more 6th graders the 7th graders. Let x = the number of 7th graders
x + (x + 12) = 178
Subtract 12 from both sides
x + x = 166
Add like terms
2x = 166
x = 83
So, there are 83 7th graders. And add 12 to find the number of 6th graders.
12 + 83 = 95
The kite is 43.02 feet above the ground
