The triangle on the left area is 18 because the area of a triangle is 1/2 b times h so 12 times 3 times 1/2 equals 18.you then cut a triangle from the quadrilateral to make into a triangle.The triangle is the same height has other triangle so its area is 18.Since you took three for base of left and right triangle you subtract 6 from 1 to make it your base of 8 and your height is 12 and 12 tikmes 8 is 96 so 18+18+96=132 so our answer is 132.
Answer:
The correct option is A.
Step-by-step explanation:
If a graph is formed by connecting a single universal vertex to all vertices of a cycle, then it is known as wheel graph.
W₆ means wheel graph having 6 vertices as shown in the below figure.
Total number of edges in a wheel graph is 2(n-1), where n is number of vertices. So, the number of edges in W₆ is

In a spanning tree all the vertices covered with minimum possible number of edges. Total number of edges in a spanning tree is (n-1).
Total number of edges in a spanning tree which has 6 vertices is

The number of edges we need to remove is

Therefore the correct option is A.
Answer:
d(x) = √[(x - 2)² + (3x - 1)²]
Step-by-step explanation:
The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, the distance between point (2,0) and a point (x,y)
d = √[(x - 2)² + (y - 0)²]
d = √[(x - 2)² + (y)²]
But the point (x,y) is on the line y = 3x - 1
We can substitute for y in the distance between points equation.
d(x) = √[(x - 2)² + (3x - 1)²]
QED!
Answer:
a < - 3
Step-by-step explanation:
Given
- 2a > 6
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity, thus
a < - 3