This is the concept of geometry, given that AB=AC, it means that the tirangle is isosceles, thus to get the value of AB and AC we proceed as follows;
thus using the cosine rule:
c^2=a^2+b^2-2abcosC
suppose\AB=AC=x
thus;
8^2=x^2+x^2-2*x*xcos15
64=2x^2-2x^2cos15
64=2x^2-1.9x^2
64=0.1x^2
x^2=640
x=sqrt640
x=25.3
hence;
AC=AB=25.3
Answer:
4x(2x+3)
Step-by-step explanation:
Since the common factor of 8x^2 and 12x is 4x, put that out and separate the distributed remaining factors.
Answer:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And for this case we want to find this probability:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Answer:
option A
Step-by-step explanation:
given coordinate (3, -6) and (–7, –4)
to find the equation of line
slope of the line passing through both the point will be



equation of line
( y - y₁ ) = m ( x - x₁ )

x + 5 y = -27
line which will not intersect will be parallel to it so option A has same slope as our line equation i.e. -1/5
hence, correct answer is option A
Answer:
26,068
Step-by-step explanation:
(-343) x (-12) + (-343) x (-88)
= -4116 + 30,184
= 26,068