Answer:
One
Step-by-step explanation:
Set each equations equal to each other


Find the discrimant.

This means there is one real solution. Since the discramnt equal 0.
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>
Answer:
The answer is -23.
Step-by-step explanation:
substitute x with -4. multiply and add regularaly.
See the picture in the attached figure
we know that
There are six important properties of parallelograms to know:
<span>1) Opposite sides are congruent (AB = DC).
2) Opposite angels are congruent (D = B).
3) Consecutive angles are supplementary (A + D = 180°).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.<span>6) Each diagonal of a parallelogram separates it into two congruent triangles.
so
if t</span></span>he diagonals of a parallelogram bisect each other
then
AE=EC
AC=AE+EC------> AC=2*AE----> AE=AC/2----> AE=18/2----> AE=9 units
the answer isAE=9 units