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

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

there is nothing below so i cannot

step-by-step explanation: