Which equation is graphed here? A) y=3 B) x=3 C) y+1=3 D) x-1=3
1 answer:
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1. The function 
is a parabola of the form 
. The the formula for the axis of symmetry of a parabola is 
. We can infer from our function that 
and 
, so lets replace those values in our formula:
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
or 
or 
From our previous point we know that the ball reaches its maximum time at
, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
From our previous point we know that the ball reaches its maximum time at
In order to subtract fractions, you need the denominators (bottom number) to be the same. 
. 
Answer:
The perimeter is
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle
plus the perimeter of a square minus the diameter of the circle
so
we have
The diameter of the circle is equal to the length side of the square
substitute