When Alice went to the print shop, she was confronted with many choices of sizes: 7-inch by 9-inch, 8-inch by 10-inch, and 12-inch by 16-inch. She's afraid that if she picks the wrong size, part of the photo will be cut off. Which size should Alice pick and why?

12-inch by 16-inch- it's the largest available and can be reduced to scale for smaller photos.

Step-by-step explanation:

-Given the dimensions 7-inch by 9-inch, 8-inch by 10-inch, and 12-inch by 16-inch:

#If Alice buys 7-inch by 9-inch and the photo turn's out to be a 8-inch by 10-inch or 12-inch by 16-inch then part of her photo will be cut off.

Hence, Don't buy.

#If Alice buys 8-inch by 10-inch and the photo turn's out to be a 12-inch by 16-inch then part of her photo will be cut off. However, if the photo is a 7-inch by 9-inch then it will fit.

Hence, don't buy.

#If Alice buys a  12-inch by 16-inch and the photo turns out to be smaller than expected the she can always print it out and trim or reduce the to scale excessive print paper to the desire dimensions.

Hence, buy  the 12-inch by 16-inch since it's the largest available and can be reduced to scale for smaller photos.

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕