Find the perpendicular bisector of the points a(3,6) and b(-1,4). give your answer in the form
ax + by = c.

the equation of the perpendicular bisector of segment AB is y = -2x + 7

Step-by-step explanation:

Going from B(-1, 4) to A(3, 6), x increases by 4 and y increases by 2.  Thus, the slope of this line is m = rise / run = 2/4, or 1/2.

Any line perpendicular to the one joining A and B has a slope which is the negative reciprocal of 1/2:  that'd be -2.

                                                               3 - 1       6 + 4

The midpoint of line segment AB is ( , ), or (1, 5)

                                                                  2            2

Thus, the perpendicular bisector passes through the midpoint (1, 5) and has slope -2:

Starting from y = mx + b, we get  5 = -2(1) + b, or 7 = b, and so the equation of the perpendicular bisector of segment AB is

y = -2x + 7

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

answer: i believe it is c

step-by-step explanation:

because 5+4=9 so it would be 3^9