Answer:
8 4/15
Step-by-step explanation:
Rewriting our equation with parts separated
= 5 + 2/3 + 2 + 3/5
Solving the whole number parts
5 + 2 = 7
Solving the fraction parts
2/3 + 3/5 = ?
Find the LCD of 2/3 and 3/5 and rewrite to solve with the equivalent fractions.
LCD = 15
10/15 + 9/15 = 19/15
Simplifying the fraction part, 19/15,
19/15 = 1 4/15
Combining the whole and fraction parts
7 + 1 + 4/15 = 8 4/15
Answer:
is the number of graph edges which touch v
Step-by-step explanation:
To find the degree of a graph, figure out all of the vertex degrees. The degree of the graph will be its largest vertex degree. The degree of the network is 5.
Once you know the degree of the verticies we can tell if the graph is a traversable by lookin at odd and even vertecies. First lets look how you tell if a vertex is even or odd.
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
