Use the distance formula:
(6, -2), (-2, -12)
⇒
⇒
= 12.8
The distance between points T and U is
12.8 units.
Answer:
statement: 2. both pairs of parallel lines are congruent
reason: 2. def. of a parallelogram
and that should be all you need
Answer:
See Explanation
Step-by-step explanation:
Let the temperatures of Miami and Bangor be M and B degrees respectively.
According to the given information:
M = 3B + 22... (required equation)
Plug M = 82
82 = 3B + 22
82 - 22 = 3B
60 = 3B
B = 60/3
B = 20 degrees
Thus, the temperature in Bangor is 20 degrees.
The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5
To change 5/6 to a fraction with a denominator of 12, you need to do one step. Since 12 is a multiple of 6 (meaning that it can be multiplied by 6 and another number), you multiply 5/6 by 2 to get 10/12. 10/12 is your answer.
