Caroline walks around a square pond with 30 m sides. Her paces are about 60 cm long. About how many paces will she take?
1 answer:
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Answer:
See attachment
Step-by-step explanation:
We want to graph on the interval -10 to 10.
Let be the parent absolute value function.
We can easily graph , if we use translation.
When the parent function is shifted downwards by 12 units, we obtain the graph of .
The parent function is a v-shaped graph with vertex at the origin.
We shift the parent function down so that its vertex is now at (0,-12) to get the graph of .
See attachment for the graph of on the specified interval.
Answer:
2y = x + 2
Step-by-step explanation:
Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;
From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:
Joining the points gives a straight line, which means a constant gradient of ¹/₂
Use the line equation formula to get the function:
y - y₁ = m(x - x₁)
m = ¹/₂
x₁ = 0
y₁ = 1
y - 1 = ¹/₂.(x - 0)
y - 1 = ¹/₂.x
2y - 2 = x
2y = x + 2