A circumcentre is the centre of the circumcircle.
The circumcircle of a triangle is the circle that passes through all three vertices.
Since all radii of a given circle are equal, we see that all the distances from H (circumcentre) to the vertices of the triangle are equal, namely
JH=KH=LH
Only one of the above answer choices is true.
Answer:
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Answer:
The condensed log equation is: 
Step-by-step explanation:
We use these following logarithm properties to solve this question:



In this question:


So

Becomes:

Now applying the addition and subtraction properties, we have:

The condensed log equation is: 
Answer:
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Total number of outcomes is 16, count of all outcomes.
Number of outcomes with 3 or more tiles is 5:
- HTTT, THTT, TTHT, TTTH, TTTT
The probability is:
- P = favorable outcomes / total outcomes
- P(at least 3 tails) = 5/16 = 0.3125
Correct choice is D.
Answer:
A. 2x(x+1)(x-6); 0, -1, 6
Step-by-step explanation:
The zeros are the values of x that make the factors zero. That is, for binomial factors, they are the opposite of the constant in the binomial factor. For example, the factor (x+1) will be zero when x = -1, so that -1+1 = 0.
This observation eliminates choices B and C.
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The product of binomial factors looks like this:
(x +a)(x +b) = x² +(a+b)x +ab . . . . . x-coefficient is (a+b)
Once 2x is factored from the given polynomial, the resulting quadratic is ...
x^2 -5x -6
This means the sum of the constants in the binomial terms must be -5. That will only be the case for choice A.