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The two lines are not perpendicular. They intersect at 75 degrees. Probably the diagram is not drawn to scale. the second line shoud inclined an angle of 135 degree. The equation of the first line is y = x + 4 since 45 degree -> m=1 The general form will be x-y+4=0 using y=mx+b, m=1, b=4...

You need "complex analysis" which is taught at university level to find the definite integral of e^(x^2)

I am currently working as a full time high school mathematics teacher in a Sydney government high school. I have 5 years of experience in teaching Mathematics Extension 2 (4 unit), Mathematics Extension 1 (3 unit), Mathematics (2 unit), General Mathematics as well as year 7 to year 10...

HSC 2U 3U 4U Mathematics 1 on 1 Tutoring I am currently working as a full time high school mathematics teacher in a Sydney government high school. I have experienced in teaching Mathematics Extension 2 (4 unit), Mathematics Extension 1 (3 unit), Mathematics (2 unit), General Mathematics as well...