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➷ The formula for this would be:
2пr
In words, this would be two x pi x radius
[note: the radius is half the diameter]
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
<span><span>Given the equation of a circle"<span>x^2 + y^2 - 4x +6y -36 = 0</span>We will use completing the square method to rewrite the equation into the form:(x-a)^2 + (y-b)^2 = r^2 where (a,b) is the center and r is the radius.Let us rewrite the terms.==> x^2 - 4x + y^2 + 6y = 36Now we will complete the square for both x^2 ands y^2.We will add [( coefficient of x)/2]^2 and [(coefficients of y)/2]^2 to both sides.Then we will add :(4/2)^2 = 2^2 = 4(6/2)^2 = 3^2 = 9Then we will add 4 and 9 to both sides.==> x^2 - 4x +4 + y^2 + 6y + 9 = 36 + 4 + 9==> (x-2)^2 + (y+3)^2 = 49==> (x-2)^2 + (y+3)^2 = 7^2Now we will compare the equation withe the standard form of a circle.Then we conclude that:<span>The center of the circle is: ( 2, -3) and the radius is 7.</span></span></span>
Remember that the domain is all possible x values.
Here, the highest x value is 2 and the lowest is -4, which makes A and D incorrect.
x can also be anything between 2 and -4, so B is also incorrect.
That leaves C our answer.
Answer should be 5,6,8 if that is an answer choice
Answer:
x = 15
Step-by-step explanation:
Simplifying
3x + (8x + 15) = 180
Reorder the terms:
3x + (15 + 8x) = 180
Remove parenthesis around (15 + 8x)
3x + 15 + 8x = 180
Reorder the terms:
15 + 3x + 8x = 180
Combine like terms: 3x + 8x = 11x
15 + 11x = 180
Solving
15 + 11x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 11x = 180 + -15
Combine like terms: 15 + -15 = 0
0 + 11x = 180 + -15
11x = 180 + -15
Combine like terms: 180 + -15 = 165
11x = 165
Divide each side by '11'.
x = 15
Simplifying
x = 15
