15 points to whoever answers correct

Answer

C. 4 + 6

D. 3.15151515.. + 4.6

E. √64 × √25

Explanation

A rational number is a number that can be expressed as a quotient or a fraction. That is it can be written as a/b.

π×6 = 6π   ⇒ can not be written as a rational number.

√3 + √5 ⇒ the sum of two irrational numbers can not be rational.

4 + 6 = 10. Ten is a rational number. it can be written as 10/1

3.15151515.. + 4.6 = 104/33 + 23/5

                             = 1279/165                      

√64 × √25 = 8×5=40            This can be written as 40/1

C. 4 + 6

D. 3.15151515.. + 4.6

E. √64 × √25

Step-by-step explanation:

i not know

step-by-step explanation:

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!