Step-by-step explanation:
x² + y² − 8x + 10y − 8 = 0
Rearrange:
x² − 8x + y² + 10y = 8
To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.
(-8/2)² = 16
(10/2)² = 25
x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25
x² − 8x + 16 + y² + 10y + 25 = 49
Factor the squares:
(x − 4)² + (y + 5)² = 49
The center is (4, -5) and the radius is 7.
Answer:
Step-by-step explanation:
Answer:
- equation: (7x-4) +19 +(10x+3) = 52
- x = 2
- red: 10
- blue: 19
- yellow: 23
Step-by-step explanation:
The equation is based on the relation that the perimeter is equal to the sum of the side lengths.
P = red + blue + yellow
52 = (7x -4) +(19) +(10x +3)
52 = 17x +18 . . . . . . . . . . . . . . simplify
34 = 17x . . . . . . . . . . . . . subtract 18
2 = x . . . . . . . . . . . . divide by 17
__
red = 7(2) -4 = 10
blue = 19
yellow = 10(2) +3 = 23
Answer:
A.
is Repeating
B.
is Terminating
C.
is Repeating
Step-by-step explanation:
We know
is Repeating because when it is in decimal form there is a line above the 6 in 0.6
We know
is Terminating because when it is in decimal form there is no line above any of the numbers in 0.6
We know
is Repeating because when it is in decimal form there is a line above 54 in 0.54.
Hope this helps.