The distance of the point P (4, 3) from the origin is: (a) 4 (b) 3 (c) 5 (d) 7

GiveN:

What to find?

Step-wise-Step Explanation:

We can find the distance between the coordinate of P and the origin O by using distance formula.

Plugging the given values of x1, x2 and y1, y2:

⇒

This can be written as,

⇒

And the distance will be:

⇒

But distance is a scalar quantity, and can't be negative. Hence the distance between the point P and the origin is 5 units.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: