√145 cm
Step-by-step explanation:
By Pythagoras property
Hypotenuse² = base²+perpendicular ²
(AC)² +(BC)² =(AB)²
9² + 8² = (AB)²
81+64 = (AB)²
145 =(AB)²
AB =√145
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Oh okie so cute lol I don’t know what
So you're going to do to .5 * 10
Answer:
Part a) The approximate years were 1998 and 2008
Part b) The graph in the attached figure
Step-by-step explanation:
Part a) we have
![y=-0.27x^{2}+3.3x+77](https://tex.z-dn.net/?f=y%3D-0.27x%5E%7B2%7D%2B3.3x%2B77)
For
Solve the quadratic equation
![80=-0.27x^{2}+3.3x+77](https://tex.z-dn.net/?f=80%3D-0.27x%5E%7B2%7D%2B3.3x%2B77)
![0.27x^{2}-3.3x+3=0](https://tex.z-dn.net/?f=0.27x%5E%7B2%7D-3.3x%2B3%3D0)
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
![0.27x^{2}-3.3x+3=0](https://tex.z-dn.net/?f=0.27x%5E%7B2%7D-3.3x%2B3%3D0)
so
substitute in the formula
therefore
The approximate years are
1997+11=2008
1997+1=1998
Part b)
Using a graphing tool
we have
![y=-0.27x^{2}+3.3x+77](https://tex.z-dn.net/?f=y%3D-0.27x%5E%7B2%7D%2B3.3x%2B77)
![y=80](https://tex.z-dn.net/?f=y%3D80)
The solution of the system of equations is the intersection point both graphs
The intersection point are (0.99,80) and (11.23,80)
see the attached figure
therefore
The solution part a) is correct
Answer:
0.2 with a line on top of the 2
Step-by-step explanation:
It's a repeating decimal. It will always go with a 2