Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
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 the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r = 
= 6
Answer:
(a) 
(b) 4 miles
Step-by-step explanation:
Given:
The sequence of run is an arithmetic sequence.
Miles traveled on day 1 = 1 mile
Miles traveled on day 7 = 2 miles
(a).
Explicit formula for an arithmetic sequence is given as:
Here, 
So,
Therefore, the explicit definition of the above sequence is given as:
Where, 
is the miles covered on 
day.
(b)
In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,
Therefore, the number of miles covered by her on day 19 is 4 miles.
The correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.
<h3>What are fractions?</h3>
The fraction is defined as the division of the whole part into an equal number of parts. here we have the following information Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction.
E = 
= 0.55
Thus the product of the fraction estimated in the nearest half is,
0.5×1= 0.50
Therefore the correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.
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Common ratio, r = (-125)/625 = -0.2
First term, a = 625
7 term
= ar^6
= 625(-0.2)^6
= -0.04
Answer:
31.4
Step-by-step explanation:
Because you multiply the circumference by pi
