2 years ago

9) What is the x-coordinate of point A in a triangle with vertexes in A (3, 5), B(6, – 3) and C (-2, - 2) after

Mathematics

1 answer:

avanturin [10]2 years ago

5 0

A because that's the only one that makes sence

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Algebraically find three consecutive positive integers such that the square of the first is equal to the third.

dexar [7]

Your numbers are 2, 3, 4.

The three consecutive numbers are x, x+1, x+2
The square of the first equals the third so x^2=x+2
Solve this quadratic as x^2-x-2=0
Factor into (x+1)(x-2)=0
So your answers are x=-1 and x=2
Since the question says they’re positive integers, use x=2
So the numbers are 2, 3, 4

7 0

3 years ago

The average value of y=v(x) equals 4 for 1≤x≤6, and equals 5 for 6≤x≤8. what is the average value of v(x) for 1≤x≤8 ?

Tomtit [17]

The average value over the interval is the area under the curve divided by the width of the interval.

Area = 4*(6 -1) +5(8 -6) = 30
Width = 8 - 1 = 7

Average value = 30/7 = 4 2/7