Prove that the equation of the straight line, the reiprocals of whose intercepts on the axes are m and n is mx + ny = 1. Also prove that m² + n² = 1/p² where p is the perpendicular distance of the line from origin.

Can someone tell me if this is perpendicular? !

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music. they were asked how they like three types of music: rock, country western and jazz. the results are summarized below: no one dislikes all three types of music. six like all three types of music. eleven don’t like country western. sixteen like jazz. three like country western and jazz, but not rock. six don’t like rock. eight like rock and country western. seven don’t like jazz. how many students were surveyed?

What is the t intercept of the line given by the equation below y= -10x + 14