Amap of the town that annie and barbara live in can be represented by the cartesian plane. annie is located at (3,5) and barbara says she is located at (-6,2). they agree to meet the midpoint of their current locations. however, it turns out that barbara read the map wrong, and she is actually at (-10,4). what is the positive difference in the x-coordinates of where they agreed to meet and where they should actually meet?

Difference = 2

Step-by-step explanation:

Coordinates of location of Annie  = (3, 5)

Initial(But Wrong) Coordinates of location of Barbara = (-6, 2)

They agreed to meet at the midpoint of their current location. The formula to calculate the midpoint is:

Using the values in the above formula, we get:

Correct Coordinates of location of Barbara = (-10,4)

So, the correct midpoint between location of Barbara and Annie would be:

The x-coordinate of initial mid-point = -1.5

The x-coordinate of actual mid-point = -3.5

The positive difference between the x-coordinates = | -3.5 - (-1.5) |

= | -3.5 + 1.5 |

= | -2 |

= 2

The positive difference in the x-coordinates of where they agreed to meet and where they should actually meet is 2

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet