Write in standard form y=-3x+4 through (0,-1)

1 H C F of 120 and 180 is 2

120/2 = 60

180/2 = 90

Total number of tins = 60+90 = 150

2 16 - √16 =12. So,correct ans is 16.

3 as the new price for each metre is now rs.1 therefore the length of rod should be 60 meters so that it costs rs.60.

and we know the new length is two minus the actual length so,

the actual length of rod=60+2

=62 meters

4 New sides of new Δ=x-12; x-13; x-14.

(x-12) side is the longest side in the right angled Δ

ACCORDING TO THE PYTHAGORAS THEORAM

(x-13)² + (x-14)²= (X-12)²

after opening the brackets...

x² + 169 - 26x + x² + 196 - 28x = x² + 144 - 24x

2x² + 365 - 54x = x² + 144 -24x

2x²- x² + 365 - 144 - 54x + 24x= 0

x² - 30x + 221 =0

x² -17x -13x + 221=0

x(x-17) -13(x-17)= 0

(x-13)(x-17)=0

x-13=0 or x-17=0

x=13 x=17

x ≠13 (because if x is 13 then side (x-13) of Δ would be zero

which is imposiible)

x= 17 units