fill in the table the coordinates of B with the information missing about the different transformations of ABC which of the foll
1 answer:
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Answer:
a)
And for this case we can rewrite the model like this:
If we integrate both sides we got:
If we use exponentials for both sides we got:
For this case and r = -0.16
So then our model would be given by:
Where t represent the number of hours
b)
Step-by-step explanation:
Part a
For this case we can assume the proportional model given by:
And for this case we can rewrite the model like this:
If we integrate both sides we got:
If we use exponentials for both sides we got:
For this case and r = -0.16
So then our model would be given by:
Where t represent the number of hours
Part b
For this case we can replace the value t=5 into the model and we got:
Answer:
centre = (2, 4)
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 4x - 8y - 5 = 0
Rearrange the x/y terms together and add 5 to both sides
x² - 4x + y² - 8y = 5
Use the method of completing the square on both the x/y terms
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16
(x - 2)² + (y - 4)² = 25 ← in standard form
with centre (2, 4) and r = = 5