Answer:
The positive value of
will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let
, roots are those values of
so that
. That is:
(1)
Roots are determined analytically by the Quadratic Formula:


The smaller root is
, and the larger root is
.
has one real root when
. Then, we solve the discriminant for
:


The positive value of
will result in exactly one real root is approximately 0.028.
Answer: Slope: -1/2
Step-by-step explanation: To find slope take 2 points that lie on the line and use this formula to solve: <em> </em>I will use (0, -2) and (2, -3) to solve
↑ ↑ ↑ ↑
y2 - y1 x1 y1 x2 y2
-----------
x2 - x1
So, for this question, substitute the x and y values from the points above to solve.
-3 - (-2)
----------- = - 1/2
2 - 0
Hope this helped. :)
Answer:
80,94º
Step-by-step explanation:
What I've done is, first draw a triangle with a 90º angle and write down the height (324m) and the tourist's distance (100m).
So I calculated the tangent of the angle of the tourist.
The formula is tan=Oposite side/adjacent


And now with your calculator you press "shift" and "tan". Then introduce 3,24 and it will give you the result (80,94º).
I hope it helped.
About 390 km because you drive 130 km per hour so 130 times 3 is 390