Question 2(multiple choice worth 4 points)
(05.05)on a coordinate plane, the coordinates of vertices r and t for a polygon are r(−6, 2) and t(1, 2). what is the length of side rt of the polygon?
4 units
7 units
8 units
15 units

Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-6,2)...x1 = -6 and y1 = 2
(1,2)x2 = 1 and y2 = 2
now we sub
d = sqrt (1 - (-6^2) + (2 - 2)^2
d = sqrt (1 + 6) ^2 + 0
d = sqrt 7^2 + 0
d = sqrt 49
d = 7 units <===

The length of Side RT of the polygon is

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

we have

 

substitute the values

91

Step-by-step explanation:

|x − 10| = 3

x - 10 has two possibilities > +3 or -3

If x is +3 then the equation |x − 10| = 3 has the solution of x = 13

if x is -3 then the equation |x − 10| = -3 has the solution of x = 7

Now, multiply both to find the final answer.

7 × 13 = 91