Jonathan used completing the square to find the maximum value of the quadratic expression -x^2 - 4x + 1. What is the maximum val
ue of the expression, and at what x value does it occur?
1 answer:
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Answer:
9.93
Step-by-step explanation:
Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.
From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):
(15+y)(10) = 17^2
Solving for y we get:
Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:
5 * 13.9 = 7 * x
Now solving, we get:
Thus x = 9.93
last answer choice is right.
Answer:
(5)
Step-by-step explanation:
The given two points are:
A(3,k) and B(h,4)
Now, using the distance formula that is=.
In the given points, ,
,
and
, thus,
=
which is the required equation, hence option 5 is correct.