Simplify: a + 2a + 3a + 4a
2 answers:
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Answer: Average of other 4 numbers =5
Step-by-step explanation:
Sum of n numbers = Average of n numbers x n
Given: Average of 6 numbers =4
so sum of 6 numbers = 6x 4 = 24
Average of 2 numbers = 2
Sum of 2 numbers = 2 x 2 =4
Sum of rest of 4 numbers = sum of 6 numbers - Sum of 2 numbers
= 24-4
=20
Average of 4 numbers =
i.e. Average of 4 numbers =5
The third coordinate of the equilateral triangle is . Ir can be obtained by distance formula.
What is distance formula?
It gives the distance between two coordinates.
Distance formula is given by the following expression:
Consider the third cordinate is (x,0) and x is positive because it is on tight side on the x axis.
Now, since the triangle is equilateral hence, the distance of (x,0) from (0, -a) and (0, a) should be equal to distance between (0, -a) and (0, a).
Now, caculate the distance between (0,-a) and (0, a).
Now, distance between (x,0) and (0, a) should be 2a.
Now, square on both the sides.
and
But the negative value of x is not possible because the coordinate lies on the right side.
Hence, the third coordinate of equilateral triangle is .
Learn more about distance formula from the following link:
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