Answer:

Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where (h,k) is the vertex of the parabola
The axis of symmetry is equal to

In this problem the parabola open upward
so
the coefficient a is positive
The coordinates of the vertex will be
(the y-coordinate is negative)
so
the equation will be of the form

Answer:
ab = 1
Step-by-step explanation:
A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.
So the reciprocal of x would be x⁻¹ or ¹⁄ₓ
The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.
So we can write this into an equation and solve,
(See image)
Once we solve, we get the equation (ab-1)(a+b) = 0
We are given info that a+b≠0
So for the above equation to be true, ab-1 has to equal 0
For <em>this</em> to be true, the product ab must equal 1
A negative minus a negative is always a positive ;)
Answer:
The angle complies with the state regulations.
Step-by-step explanation:
The angle of elevation is the angle
in the figure, and from trigonometry we find that

taking the inverse sine of both sides we get

which gives

which is less than 5°, and therefore is well within the state regulations.