The equation of a circle is written as ( x-h)^2 + (y-k)^2 = r^2
h and k is the center point of the circle and r is the radius.
In the given equation (x+3)^2 + (y-1)^2 = 81
h = -3
k = 1
r^2 = 81
Take the square root of both sides:
r = 9
The center is (-3,1) and the radius is 9
Answer:
2x − 3y = 9 2 x - 3 y = 9 The slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Rewrite in slope-intercept form.
Step-by-step explanation:
answer is y = 2/3x-3
Answer:
c) at most 11.1%
Step-by-step explanation:
We have the data that is 97 ± 12, with 97 being the mean and 12 the standard deviation.
Now, the percentage of people who reached them for less than 73 dollars, if it were a normal distribution:
z = (73 - 97) / 12 = - 2
so it would be, a probability of 0.0228 or 0.228%.
But we don't know what distribution it has, but we can get an idea.
A and D discarded, as they are very high values, and 73 is well below the average.
B) is still a very high value.
Therefore the answer is C, at most 11.1%
Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
Answer:
5 x 1/3 = 5/3 or 1 2/3
It is not possible to find the answer from 5 x 3 to 5 x 1/3
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