In a set of picture frames, frame 1 has a length that is 5 inches longer than its width, w, and frame 2 has the same length as frame 1, but is 2 inches wider than frame 1. the area of frame 2 is 28 square inches more than the area of frame 1. express these conditions into mathematical formula.

The mathematical formula would be

Step-by-step explanation:

Let the width of the frame 1 be 'w'.

Let the width of the frame 2 be 'w+2'.

Let the length of frame 1 be 'w+5'.

Let the length of frame 2 be 'w+5'.

Since the area of frame 2 is 28 square inches more than the area of frame 1.

According to question, it becomes,

Hence, the mathematical formula would be

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.