Since all of these numbers have the same variable they can all be added up to get a sum of 10a which is its simplified form.
This problem is simple the correct choice for this problem will be a
Answer: In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Step-by-step explanation:
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
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:
y = 0x - 2/3
Step-by-step explanation:
We are asked to find the equation of the line
Step1: find the slope
( 0 , -2/3) ( 3 , -2/3)
m = (y_2 - y_1 )/ (x_2 - x_1)
x_1 = 0
y_1 = -2/3
x_2 = 3
y_2 = -2/3
Insert the values into the equation
m =( -2/3 - (-2/3) / (3 - 0)
= -2/3 + 2/3 / 3
= 0 / 3
m = 0
Step 2: sub m into the equation
y = mx + c
y = 0x + c
Step 3: sub any of the two points given into the eqn
y = 0x + c
Let's pick ( 3 , -2/3)
x = 3
y = -2/3
-2/3 = 0(3) + c
-2/3 = 0 + c
c = -2/3
Step4: sub c into the equation
y = mx + c
y = 0x + c
y = 0x - 2/3
Therefore, the equation of the line is
y = 0x - 2/3
