For each of the following pairs a, b of integers, find the greatest common divisor d of a and b and express d in the form ar + bs: (i) a = 7 and b = 11; (ii) a = −28 and b = −63; (iii) a = 91 and b = 126; (iv) a = 630 and b = 132; (v) a = 7245 and b = 4784; (vi) a = 6499 and b = 4288.

Step-by-step explanation:

We are to find gcd of a and b using linear combination algorithm

a) 7 and 11.   1= 3(7)-2(11). Hence GCD =1

b) -28 and -63:  

7=-2(-28)+(-63)

So 7 is GCD

c)

So 7 is GCD and 7 = 7(91)-5(126)

d) 630 and 132

GCD is 6.

6=630(-9)+43(132)

e) 7245 and 4784

GCD is 23

23 = 7245(35)+4784(-53)

f) 6499 and 4288

GCD is 67

67 = 6499(-31)+4288(47)

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

∈3,600

step-by-step explanation: