Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
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<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
3 multiplied by 5 is 15 times 2 is 30 that should be ur answer
Alright First you combine the like terms.
9n - 3n = 6n
21 - 24 = -3
Rewrite the simplified equation
6n - 3 = 0
Solve for n
6n = 3
n = 3/6
n = 1/2
Ask if you need more help! :)
Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.
<h3>What is the volume of a cone?</h3>
The volume of a cone of <u>radius r and height h</u> is given by:
V = 1/3 x r² x h
In this problem, the radius and the height are given as follows:
r = 3.5 cm, h = 7 cm.
Hence the total volume is:
V = 1/3 x 3.5² x 7 = 28.6 cm³
The triathletes sloshed out 1/3 of that, hence:
1/3 x 28.6 = 9.5 cm³.
More can be learned about the volume of a cone at brainly.com/question/14281550
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we know that
the algebraic expression is equal to
therefore
<u>the answer is</u>
