Ichika is the best quintuplet
<span>The vertex of the parabola is the highest or lowest point of the graph.
</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)
Lets work with this now: </span>x^2 -2x +3
x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2
Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8
The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8
This will be the max of the parabola as there is - for the highest factor (-4x^2)
The max: x=1, y= -8
Answer:
23.24 feet
Step-by-step explanation:
Use the pythagorean theorem: a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.
In this situation, the ladder is the hypotenuse of the triangle, and the distance from the base of the building is the long leg.
Plug in the ladder length as c and plug in the distance from the base of the building as a:
a² + b² = c²
(6²) + b² = (24)²
36 + b² = 576
b² = 540
b = 23.24
So, the ladder reaches approximately 23.24 feet up the wall
Answer:
10
Step-by-step explanation:
