A carpenter has boards of lengths 27, 36, and 54 inches that must be cut into smaller boards of equal length, with no scrap wood
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Answer:
Step-by-step explanation:
1) if the required straight line is 'l', the given point is A(a;b), then the required equation of line can be written in form:
where (x₁;y₁) is other point B, which belongs to the 'l';
2) from the equation it is possible to detect the coordinates of the perpendicular, they are (x₁-a;y₁-b);
3) if the given perpendicular is ax+by=5, then the coordinates of the vector (a;b) are coordinates of the vector, which belongs to the required line 'l', and then: x₁-a=a and y₁-b=b;
4) if to substitute the a=x₁-a and b=y₁-b into the required equation of line 'l', then:
5) finally, the equation is: ay=bx, or y=b/a *x (slope-interception form).
note: the suggested solution is not the only way.