Explanation:
The standard form of the equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . . <em>circle centered at (h, k) with radius r</em>
The general form of the equation of a circle will be ...
Ax² +Bxy +Cy² +Dx +Ey +F = 0 . . . . . A = C for a circle
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The former is converted to the latter by eliminating parentheses, subtracting r² and collecting terms.
x² +y² -2hx -2ky +(h² +k² -r²) = 0
This shows you that ...
A = C = 1
B = 0
D = -2h
E = -2k
F = h² +k² -r²
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In general form, we like to have the coefficients be mutually prime integers and the leading coefficient be positive. That is not always possible, depending on the circle being represented.
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS
Parenthesis
Exponents
Division
Multiplication
Addition
Subtraction
Step 1
4x - 2y = 8
,y = 3/2x - 2 equation/Question
Step 2
4x-2y=8 Substitute
4x-2(
3
/2
x-2)=8
Step 3
x+4=8 simplify
x=4
Step 4
y=
3
/2
x-2 substitute 4 for x
y=
3
/2
(4)-2
Step 5
y=
3
/2
(4)-2 simplify
y=4
answer
x=4
y=4
Answer:
16%
Step-by-step explanation:
The Empirical Rule claims that 68% of the values in a normal distribution are within 1 standard deviation of the mean, 95% are within 2 standard deviations, and 99.7% are within 3. Using this here, we can see that 102 is exactly 1 standard deviation from the mean, as 94 + 8 * 1 = 102.
We also know that a normal distribution is symmetric, meaning that there is an equal distribution on both sides of the mean. Therefore, we can say that 50% of the values are above the mean. Next, 68% of values are within 1 standard deviation of the mean, so here, we can say that 34% of values are between the mean and 1 positive standard deviation of the mean. We want to find how many values are greater than 1 standard deviation of the mean. This is equal to (total amount of values greater than the mean) - (total amount of values greater than the mean but not greater than 1 standard deviation of the mean) = 50% - 34% = 16%
Answer:
b
Step-by-step explanation:
There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2
Answer:
Given info in numersical form:
(14+42)÷(7+4)²
= 56÷11²
= 56÷(11×11)
= 56÷121
= 0.46
