Answer:
Is the DIAMETER of a circle proportional to its circumference??
1. One of the unique qualities of a circle is that its diameter and circumference have a proportional relationship.
2. This means that no matter what size the circle is, the proportional relationship, or ratio, between its circumference and diameter is always the same.
Is the RADIUS of a circle proportional to its area??
1. Yes, the circumference of a circle is proportional to its radius.
2. Double the radius and you double the circumference.
For the given expressions we will have:
y = exp(x - 4) →we have a shift of 4 units to the right.
y = exp (x +9) → we have a shift of 9 units to the left.
y = exp(x) + 7 → we have a shift of 7 units up.
y = exp(x) - 6 → we have a shift of 6 units down.
<h3>
How to work with vertical and horizontal shifts?</h3>
Remember that the shifts work as follows.
For a function f(x), we define a vertical shift of N units as:
g(x) = f(x) + N
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
For a function f(x), we define a horizontal shift of N units as:
g(x) = f(x + N)
- If N > 0, the shift is to the left.
- If N < 0, the shift is to the right.
Then, if we have:
exp(x - 4) we have a shift of 4 units to the right.
exp (x +9) we have a shift of 9 units to the left.
exp(x) + 7 we have a shift of 7 units up.
exp(x) - 6 we have a shift of 6 units down.
Learn more about translations
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Answer:
1/3
Step-by-step explanation:
4/15 + 1/15 = 5/15
simplified its 1/3
3 to the 1st is 3
3 to the 2nd is 9
3 to the 3rd is 27
3 to the 4th is 81
3 to the 5th is 243
3 to the 6th is 729
