Answer:
a = -0.3575
Step-by-step explanation:
The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.
The points A and B are located where
This gives
Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e
Thus the coordinates of B are:
Now this point B lies on the parabola, and therefore it must satisfy the equation 
Thus
Therefore
14/15-5/12 = 31/60
31/60 = 0.5166...
<span>x+2 = -x+6
</span>2x+2 = 6
2x = 4
x = 2
Answer:
Step-by-step explanation:
The product of distances to the circle along a secant is the same for all secants intersecting a given point.
a. Secants SW and QT intersect at U. Thus ...
(UT)(UQ) = (US)(UW)
(1.5)(4) = (SU)(3)
SU = (4)(1.5)/3
SU = 2
__
b. Secants PT and PX intersect at P. Thus ...
(PQ)(PT) = (PR)(PX)
PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3
PX = 6 2/3
The value of a can be obtained by substituting 1 to the
equation and equating p(1) = 0.
<span> p(x) = x2a - 3xa + 3x2 -1 </span>
<span>p(1) = a - 3a +3 -1 = 0</span>
<span>therefore a =1</span>
the equation now becomes p(x) = x2 - 3x + 3x2 -1
