Atriangle with vertices (2, 9), (–5, 1), and (1, –4) is dilated by a scale factor of 4. which matrix expression represents the transformation?

Answer with explanation:

The vertices of Triangle are A (2,9) , B(-5,1) and C(1,-4).

Now, the triangle is Dilated by a Scale factor of 4 Units.

When the triangle is dilated by a Scale factor of 4 units, the preimage get Enlarged by unit of 4.

So, if the vertices of Triangle are , (a,b), (p,q) and (m,n) and if it is dilated by a factor of k, then Vertices of enlarged triangle, that is coordinates of vertices of new triangle becomes, (k a,k b),(k p, k q),and ( km,k n).

So, Vertices of Triangle ABC, when enlarged by a Scale factor of 4 are

  =A'(8,36), B'(-20,4) and C'(4,-16).

If you represent vertices of triangle (a,b), (p,q) and (m,n) in Matrix form, it is as follows

→Area of triangle

→Area of triangle A (2,9) , B(-5,1) and C(1,-4) in matrix form

→Area of Dilated triangle in matrix form

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: