Monday 19 May 2014

SLOPE OR GRADIENT - 2




Find the slope of a line which passes through (7, 13) and (6, 8).

Solution

x1 = 7,  y1 =13,  x2 = 6,  y2 = 8

m = y2 –y1
     x2 – x1

m =   8 –13
        6 –7

m =   -5
        -1

Hence the slope is 5


TRY THIS...............
 



Find the slope of a line which passes through (1, -6) and (6, 2).


DIFFERENCE OF 2 SQUARES - 2



Evaluate 23572 – 23472

Solution

23572 – 23472 = (2357 + 2347)( 2357 – 2347)

                     = (4704)( 10)

                     = 47040

Hence 23572 – 23472 = 177040.


TRY THIS…………………

evaluate 89552 – 89452

LOGARITHMS 1




If Logax = 1/2  Loga49+ 1/3 Loga27 find x.

Solution

Logax = 1/2  Loga49+ 1/3 Loga27

Logax = Loga491/2  +  Loga271/3   

Logax = Loga 7 +  Loga3

Logax = Loga (7 x 3)

Logax = Loga 21

x = 21.

TRY THIS..........
 
If Logax = 1/2  Loga169+ 1/3 Loga64 find x.

ALGEBRA 1




Simplify (m6)2
 
solution

= (m6)2

=  m6x2

=  m12


TRY THIS…….

Simplify  (h10)7

BINARY OPERATIONS 1



SLOPE OR GRADIENT 1



Find the slope of a line which passes through (10, 4) and (6, 8)

Solution

x1 = 10,  y1 =4,  x2 = 6,  y2 = 8

m = y2 –y1
      x2 – x1

m =   8 –4
        6 –10

m =   4   = -1
       -4

Hence the slope is -1

TRY THIS………………

Find the slope of a line which passes through (7, 1) and (6, 11)