Find the distance of each the following lines from the origin. (a),4x_3y=10
b, x_5y+2=0
c,3x+y_7=0​

Step-by-step explanation:

3x+y−7=0 and x+2y+9=0

write in the form y=mx+c

i.e.y=−3x+7,y=  

2

−x

​  

−  

2

9

​  

∴m  

1

​  

=−3 and m  

2

​  

∓−  

2

1

​  

tan(A−B)=  

∣

∣

∣

∣

∣

​  

1+tanAtanB

tanA−tanB

​  

∣

∣

∣

∣

∣

​  

∣

∣

∣

∣

∣

​  

1+(−3)(−y  

2

​  

)

−3−(−y  

2

​  

)

​  

∣

∣

∣

∣

∣

​  

=  

∣

∣

∣

∣

∣

​  

5/2

−5/2

​  

∣

∣

∣

∣

∣

​  

=1

∴ Angle b/w then is tan  

−1

(1)=45  

∘

=  

4

π

​

answer: 21$

step-by-step explanation:

$42 / $14 = 3   (ratio 3: 1)

$7 x 3 = $21