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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

Respuesta :

texaschic101
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 <===
calculista

Answer:

The length of Side RT of the polygon is [tex]7\ units[/tex]


Step-by-step explanation:

we know that

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


[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]


we have

[tex]R(-6,2)\\T(1,2)[/tex]  

substitute the values


[tex]d=\sqrt{(2-2)^{2}+(1+6)^{2}}[/tex]


[tex]d=\sqrt{(0)^{2}+(7)^{2}}[/tex]


[tex]dRT=7\ units[/tex]



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