Given the lines l_1 ; 3y = 2x ,l_2 ; y = −((3x)/2) + p and l_3 ; y ^ = x + 1 a) find the value of p if the point of intersection between l_1 and l_2 is (3,5) b) find the cosine of the angle between l_2 and l_3 c) which line holds the point (1,2). d)find the line l_4 with gradient ∫_4 ^π [l_1 + l_2 dx] perpendicur to l_2 ,parrallel to l


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Question Number 39899 by Rio Mike last updated on 13/Jul/18

$G i v e n t h e l i n e s$ $l_{1}; 3 y = 2 x, l_{2}; y = - \frac{3 x}{2} + p$ $a n d l_{3}; y \overset{}{} = x + 1$ $a) f i n d t h e v a l u e o f p i f$ $t h e p o i n t o f i n t e r s e c t i o n b e t w e e n$ $l_{1} a n d l_{2} i s (3, 5)$ $b) f i n d t h e c o s i n e o f t h e a n g l e$ $b e t w e e n l_{2} a n d l_{3}$ $c) w h i c h l i n e h o l d s t h e p o i n t$ $(1, 2) .$ $d) f i n d t h e l i n e l_{4} w i t h g r a d i e n t$ $\int_{4}^{π} [l_{1} + l_{2} d x] p e r p e n d i c u r t o$ $l_{2}, p a r r a l l e l t o l_{1} .$
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