The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>
The equation of a circle of center 
and radius r is given by:
The circle has center at (2,-4), hence 
.
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
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Answer:
1/36
Step-by-step explanation:
To get a sum of 2, both dice must roll a 1.
The probability of a 1 on the first die is 1/6.
The probability of a 1 on the second die is 1/6.
Therefore, the probability of rolling both 1s is:
P = 1/6 × 1/6 = 1/36
Answer: 8.3
Step-by-step explanation:
To find the variance, you want to find the mean of the data.
Now that we have the mean, we find the difference between each data point and the mean.
3-5=-2
3-5=-2
8-5=3
1-5=-4
9-5=4
6-5=1
With the difference, you square each and find the average.
(-2)²=4
(-2)²=4
3²=9
(-4)²=16
4²=16
1²=1
The variance is 8.3.
Answer:
http://misterkmath.weebly.com/uploads/1/3/8/0/13802304/8-2d_answers.pdf
Step-by-step explanation: here is the answer sheet
This involvea factoring the polynomial into binomials and solving.
So make it (3x+1)(x-7)
X equals 7 and -1/3
