Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of
is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
![y= -x^2 + 2x + 3](https://tex.z-dn.net/?f=y%3D%20-x%5E2%20%2B%202x%20%2B%203)
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, ![x=-\dfrac{b}{2a}](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7Bb%7D%7B2a%7D)
![x=-\dfrac{2}{2*-1}\\x=1](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B2%7D%7B2%2A-1%7D%5C%5Cx%3D1)
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
![y(1)= -1^2 + 2(1) + 3=-1+2+3=4m](https://tex.z-dn.net/?f=y%281%29%3D%20-1%5E2%20%2B%202%281%29%20%2B%203%3D-1%2B2%2B3%3D4m)
The maximum height of the diver is therefore 4 meters.
Answer:
Step-by-step explanation:
A number that cannot be exactly expressed as a ratio of two integers.
An irrational number cannot be written as a simple fraction.
Pi is a famous irrational number.
Answer:
8x-15y=84
Step-by-step explanation:
Multiply 12 to both sides to get rid of the fractions.