Answer:
+ 1
Step-by-step explanation:
Given
x² + 2x
Using the method of completing the square
add ( half the coefficient of the x- term)² to x² + 2x
= x² + 2(1)x + 1²
= x² + 2x + 1
= (x + 1)² ← perfect square
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3 (2x + 1) = 21
6x + 3= 21
-3 -3
6x = 18
Divide each side by 6, and x equals 3.
3 (2(3) + 1) = 21
3 (6 + 1) = 21
18 + 3 = 21
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Answer:
The total number of samples that give this outcome is 5.
Step-by-step explanation:
Since Y takes values in {0,1,2,3}, For us to have that implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that . Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.
a. 180 degrees
b. 180 degrees
c. transitive property
d. m<3
e. m<3
Supplementary angles are angles that equal 180 degrees.
Transitive property : if two angles (segment) are each congruent to a third segment (angle) then they are both congruent to each other.