Answer:
Contradiction
Step-by-step explanation:
Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.
First, you want to identify the slopes and y-int.
Equation 1 = y = -2x + 2
Slope = -2
y-int. = 2 or (0,2)
Equationt 2 = y = 2x + 3
Slope = 2
Y-int. = 3 or (0,3)
To graph, first plot the y-intercepts. Then do the slopes.
Slope = -2
Down 2 over 1 (to the right)
Slope = 2
Up 2 over 1 (to the right)
Then just connect the dots in a line!
We need to solve how much it cost to paint a room with are 459 ft² given that a room with an area of 306 ft² costs $72. The solution is shown below:
Cost per area = $72 / 306 ft²
Cost per area = $0.2353 / ft²
Solving the cost for the similar room:
Costs = $0.2353 * 459 ft²
Costs = $108
The answer is $108.
I found the answer to this by first dividing 34 by 4 to get 8.5. We already know what 4 divided by 4 is. For every one pound of almonds, it costs $8.50. Since we know that we need to find out how much it costs for 5 pounds of almonds, we simply multiply 8.5 by 5 to get 42.5. It costs $42.50 to buy 5 pounds of almonds.
