Answer:
Step-by-step explanation:
<u>Quadratic Function</u>
The quadratic function can be expressed in the following form:
Where a is a real number different from 0, and x1, x2 are the roots or zeroes of the function.
From the conditions stated in the problem, we know
x_1=1+\sqrt{2}, \ x_1=1-\sqrt{2}
Substitute in the general formula above:
![y=a[x-(1+\sqrt{2})][x-(1-\sqrt{2})]](https://tex.z-dn.net/?f=y%3Da%5Bx-%281%2B%5Csqrt%7B2%7D%29%5D%5Bx-%281-%5Csqrt%7B2%7D%29%5D)
Operate the indicated product
To find the value of a, we use the y-intercept which is the value of y when x=0, thus
It follows that
Thus, the required quadratic function is
Or, equivalently
Answer:
-cos(2A)
Step-by-step explanation:
We know that (a+b) (a-b) = a^2-b^2
So it means we can simplify to sin^2(A)-cos^2(A) and we know cos^2(A) - sin^2(A) = cos(2A) but we will just multiply by -1 and we get - cos(2A)
Pi<span> (π) is the ratio of the circumference of a circle to its diameter. It doesn't matter how big or small the circle is - the ratio stays the same. Properties like this that stay the same when you change other attributes are called constants.
</span>
Answer:
18
Step-by-step explanation:
100% of 6 is 6 so 300% (which does not actually exist) would be 3 times as much. 6x3=18
Answer:
45
Step-by-step explanation:
because the mass
