Answer:
32/9
Step-by-step explanation:
Translating the word problem into a symbolic equation yields:
3n - 3 = 5/6
Solve this for the number (n):
Multiplying both sides of this equation by 6 clears out the fraction term:
18n - 18 = 5
Adding 18 to both sides isolates 18n: 18n = 23
Then the number is n = 23/18, and:
one more than twice this number n is 2(23/18) + 1, or:
46/18 + 18/18, or 64/18, or (reducing this result)
32/9
Answer:
Thus , The length of each side of the given equilateral triangle is 8
we can see that the center is (-3, 3) and the radius is 9 units.
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How to find the center and radius of the circle?</h3>
The general circle equation, for a circle with a center (a, b) and radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we have the equation:
x^2 + y^2 + 6x = 6y + 63
Let's complete squares:
x^2 + y^2 + 6x - 6y = 63
(x^2 + 6x) + (y^2 - 6y) = 63
(x^2 + 2*3x) + (y^2 - 2*3y) = 63
Now we can add and subtract 9, (two times) so we get:
(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63
(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2
(x + 3)^2 + (y - 3)^2 = 9^2
Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.
If you want to learn more about circles:
brainly.com/question/1559324
#SPJ1
11,460 subscriptions is the answer I believe XD
An
chọn A
Step-by-step explanation:
3x-5>= 4x-3
<=>x <= -2( -2;-3;-5)
