Which statement about these rectangles is true? 4(1.5) 4 2(1.5) Image 2(1.5) Pre-Image 2 4(1.5)
1 answer:
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Answer:
No she isn't. The value of is
Step-by-step explanation:
We know that all quadratic equation can be written in the following way :
(I)
Where and
are real numbers.
I will attach a drawing with the quadratic graph to understand the situation.
We know by looking at the drawing and analyzing it that the parabola passes through the points : and
because we put our coordinates origin there.
because that's where the golf hole is.
And because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).
Finally, we work with the three points and the equation (I) in order to find the values of and
⇒
The parabola passes through ⇒
⇒
⇒
The parabola passes through ⇒
⇒
(II)
The parabola passes through ⇒
⇒
(III)
Now if we use (III) in (II) ⇒
⇒
Finally the equation of the parabola is
Where the value of is
