The points p(2,3) , q(-1,1) and r(5,-1) are the vertices of a triangle pqr. find the equation of the altitude of the triangle pqr drawn from the point q(-1,1).

Step-by-step explanation:

The slope of straight line PR where P(2,3) and R(5,-1) are two vertices of triangle PQR will be =

Therefore, the slope of the altitude passing through Q(-1,1) will be {Since, the product of slopes of two perpendicular straight line is -1}

So, equation of the altitude is where c is a constant.

Now, putting x = -1 and y = 1 in the above equation we get  

⇒

Therefore, the equation of the altitude is (Answer)

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

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step-by-step explanation:

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