Marissa has a photograph that measures 2 in. by 4 in. She has mounted the picture on a mat so that there is a border that measures 1 in. around the picture. The graph shows a representation of the photograph and the mat on the coordinate grid. Marissa has decided to dilate the picture and the mat by a scale factor of 2. Draw the new image for the picture and mat on the coordinate grid.

Respuesta :

Step-by-step explanation:

The initial image of the photo is 2 in by 4 in.  The mat is 4 in by 6 in.

The new image is dilated by a scale of 2.  So we double the dimensions.  The new photo is 4 in by 8 in.  The new mat is 8 in by 12 in.

Ver imagen MathPhys

The new size of the picture is [tex]4\times 8[/tex]and the new size of the mat is [tex]6\times8[/tex]This is shown in attached images.

Given-

The size of the photograph is 2 by 4 in.

  • Marissa's photograph original size is 2 by 4 in. This is shown in the graph with image one.

  • The boundary required for the mat is 1 in after the photograph applied. Thus the length of the mat must be 3 by 5 in. Refer Image two.

  • When Marissa decided to  the picture by the scale factor two she need to multiply its dimension with two.

  Thus the new dimension of the Picture is,

          [tex]=2\times(2,4)[/tex]

          [tex]=(4,8)[/tex]

  • Hence the new size for the picture is 4 by 8 in. This is shown in graph in image three.

  • When Marissa decided to dilate the mat by the scale factor two she need to multiply its dimension with two.

        Thus the new dimension of the mat is,

       [tex]=2\times(3,5)[/tex]

       [tex]=(6,10)[/tex]

  • Hence the new size for the mat is 6 by 10 in. This is shown in graph in image four.

Hence the new size of the picture is 4 by 8 and the new size of the mat is 6 by 10. This is shown in attached images.

For more about the scaling the graph follow the link below-

https://brainly.com/question/13819784

     

Ver imagen bhoopendrasisodiya34
Ver imagen bhoopendrasisodiya34
Ver imagen bhoopendrasisodiya34
Ver imagen bhoopendrasisodiya34