Cicero and Themistocles run for the same political office. Cicero received www votes in the election, and Themistocles received vvv votes. Which of the following expressions always represents how many more votes the winner received than the loser?
A. w - v
B.∣w−v∣
C. None of above

[w-v]           b is answer

Step-by-step explanation:

How many more votes the winner received than the loser can be thought of as the distance between the two numbers of votes on the number line.

Hint #22 / 5

The distance between two numbers is equal to the absolute value of their difference.

For example, | a - b|∣a−b∣vertical bar, a, minus, b, vertical bar is the distance between aaa and bbb.

Hint #33 / 5

We want to find the distance between \blue{w}wstart color #6495ed, w, end color #6495ed and \pink{v}vstart color #ff00af, v, end color #ff00af.

Hint #44 / 5

The distance between \blue{w}wstart color #6495ed, w, end color #6495ed and \pink{v}vstart color #ff00af, v, end color #ff00af is |\blue{w} - \pink{v}|∣w−v∣vertical bar, start color #6495ed, w, end color #6495ed, minus, start color #ff00af, v, end color #ff00af, vertical bar or |\pink{v}-\blue{w}|∣v−w∣vertical bar, start color #ff00af, v, end color #ff00af, minus, start color #6495ed, w, end color #6495ed, vertical bar.

Hint #55 / 5

\left\lvert \blue w- \pink v\right\rvert∣w−v∣open vertical bar, start color #6495ed, w, end color #6495ed, minus, start color #ff00af, v, end color #ff00af, close vertical bar always represents how many more votes the winner received than the loser.

B |w-v|

Step-by-step explanation:

khan academy

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1