Determine the equation of the perpendicular bisector of a segment with endpoints (–3, –1) and (3, 5).

y = -x + 2.

Step-by-step explanation:

The slope of the line joining the 2 points = (5 - -1)/(3- -3)

= 6/6 = 1

So the slope of the perpendicular bisector = -1/1 = -1.

The centre of the line segment is at the point (-3+3)/2,  (-1+5)/2

= (0, 2)

So the required equation is:

y - 2 = -1(x - 0)

y - 2 = -x

y = -x + 2.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40