Euler's formula for a polyhedron is given by:

Make E, the subject of the formula:

Put F = 20, V = 12, to obtain E,

Therefore, there are 30 edges
A vertical shift adds/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged. A horizontal shift adds/subtracts a constant to/from every x-coordinate while leaving the y-coordinate unchanged. Vertical and horizontal shifts can be combined into one expression.
Shifting up or to the right means add
Shifting down or to the left means subtract
the 3rd option is the correct one
Answer:

Step-by-step explanation:
z=5x-11y
+11y on both sides
z+11y=x
divide by 5 on both sides
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Answer:

Step-by-step explanation:
<em>The options are not given; however, the question can still be answered.</em>
Given
Direct Proportion:
In 20 minutes, y = 250 bottles
Required
Determine the graph
<em>In the first 20 minutes, y = 250</em>
<em>In the next 20 minutes, y = 250 + 250 = 500</em>
<em>In the next 20 minutes, y = 500 + 250 = 750</em>
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This gives a arithmetic sequence:
250, 500, 750, ........
Next, is to determine the equation of the sequence using;

In this case;




Substitute these values in the above formula;

Open Bracket

Collect Like Terms


Hence; the graph that shows the given description is the graph with equation 
Answer:
t < 9
Step-by-step explanation:
12 > t + 3
We can subtract 3 from both sides getting us 9 > t.