Answer:
(2,6) radius=8
Step-by-step explanation:
this is becuase the 2 is put into the (x-(centerx)) and the 6 is put into (y-(centery)). The radius is the square routed, so you get the original number of 8
Answer:
it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer: OPTION C
Step-by-step explanation:
Complete the square:
Having the equation in the form 
, you need to add 
to both sides of the equation:
You can identify that "b" in the equation 
is:
Then:
Add this to both sides:
Rewriting, you get:
Solve for "x":
Then, the solutions are:
The answer is A, C, and D.
If you look at the y values column, you'll notice two spots in the chart where there are 0s for the y value.
Since, in those cases, the numbers only exist on the x-axis, there are called x-intercepts.
You'll also notice that the y-values decrease, meaning that the chart goes down from x=-4 to x=0.
Finally, you'll notice an odd sort of pattern, like the values are a mirror of each other, in between 0 and 1. This means there is a line of symmetry at x= 0.5
Part 1: Yes because each input has 1 unique output.
Part 2: The domain is [1, 2, 3, 4, 5]
