Answer: ( x + 1)² + (y - 4)² = 16
Explanation:
1) The given equation, ( x - 2)² + (y + 1)² = 16, represents a circumference with center (2,-1) and radius √16 = 4.
1) The translation will not modify the radius of the circunference, siince translations are rigid transformations.
2) The translation 3 units to the left and 5 units upward certainly will move the center of the circunference.
This is how:
(x,y) → (x - 3, y + 5)
(2, -1) → (2 - 3, - 1 + 5) = (- 1, 4)
3) Then, keeping the same radius and being the center (-1,4), the equation of the circumference after the translation will be:
( x + 1)² + (y - 4)² = 16 ← answer
Answer:
Pi is an irrational number
Step-by-step explanation:
Pi is an irrational number, meaning it is a real number that cannot be stated as a fraction. That's because pi is a "infinite decimal," meaning the digits go on forever and ever after the decimal point.
Hope this helps! Have a great day!
For this case we have that the total of objects is given by:
Large blue objects, small blue objects, large red objects and small red objects.
In total we have: 
0 objects.
If we want to find the probality of obtaining small and blue objects we have to:
ANswer:
Answer:
Step-by-step explanation:
Given that,
The side length of a regular pentagon = 10 inches
The distance from the center to a vertex of 10 inches
The formula for the area of a regular pentagon is given by :
Put a = 10
So,
So, the area of a regular pentagon is equal to 
.
I got x=-12.
Hope this helps :)
