Question

9 Express the following composite numbers as a product of their prime factors.
Use division method.
(a) 108
(b) 124
(c) 100
(d) 275
(e) 240​

Answer 1

Answer:

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Step-by-step explanation:

Let the coordinates of P be (x,y). It is given that x=2y

Also,

PQ=PR

⇒

(x−2)

2

+(y+5)

2

=

(x+3)

2

+(y−6)

2

⇒

(2y−2)

2

+(y+5)

2

=

(2y+3)

2

+(y−6)

2

⇒

5y

2

+2y+29

=

5y

2

+45

⇒5y

2

+2y+29=5y

2

+45

⇒2y=16

⇒y=8

Hence, the coordinates of P are (16,8).

Answer 2

Just do prime factorisation