Mira's walkie-talkie has a range of 1 mile. mira is traveling on a straight highway and is at mile marker 102. identify the absolute-value equation and solution to find the minimum and maximum mile marker from mile marker 102 that mira's walkie-talkie will reach.

Assume the straight highway is along the x-axis.
Then the accessible locations of the walkie-talkie are defined by a circle of radius 1, centred on (102,0), as follows:
(x-x0)^2+(y-y0)^2=r^2
(x0,y0) is the centre of the circle = (102,0)
r=radius of range of equipment=1
so equation is
(x-102)^2+y^2<=1
in absolute-value form:
|x-102|<=|sqrt(1-y^2)|
where y is distance of any point from the highway.

teams

Step-by-step explanation:

Let's do it by parts.

Let's consider a fact: there has to be only one winner. After six games:

So,

Since it's a decreasing Geometric Sequence (we have to lead to one winner), and each match two teams play, the beaten one leaves the championship.

a) Explicit Rule (Formula):

That's to say the tournament started with 32 teams

b) Recursive Rule

If we have the first term of the Geometric Sequence we can recursively find the subsequent terms. The Recursive Rule is useful when we have the prior term and we need the following one. Also, to derive the explicit rule.