3. two mathematicians are neighbors. each owns a separate rectangular plot of land that shares a boundary and has the
same dimensions. they agree that each has an area of 2x2 + 3x + 1 square units. one mathematician sells his plot to
the other. the other wants to put a fence around the perimeter of his new combined plot of land. how many linear
units of fencing does he need? write your answer as an expression in x.

Step-by-step explanation:

The factors of the given polynomial are (2x+1) and (x+1). We presume these are the side lengths of each rectangular plot. If the short side (x+1) was common, then the perimeter of the combined lot is ...

  4(2x+1) +2(x +1) = 10x +6 . . . units of fence for short side common

If the long side (2x+1) was common, then the perimeter of the combined lot is ...

  4(x+1) +2(2x+1) = 8x +6 . . . units of fence for long side common

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart