Use the Pythagorean theorem:
c - a hypotenuse
a, b - legs
We have: a = 9 and c = 12. Substitute:
<em>subtract 81 from both sides</em>
A Pythagorean triple consists of three positive integers a, b and c, such that
.
is not positive integer.
<h3>The sides of the triangle do not form a pythagorean triple.</h3>
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.
In exponential models there is a constant multiplicative rate of change.
The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.
We can test that using several pair of points.
The multiplicative rate of change is calcualted in this way:
[f(a) / f(b) ] / (a - b)
Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)
[12.5 / 5] / (2 - 1) = 2.5
[5 / 2] / (1 - 0) = 2.5
[2 / 0.8] / (0 - (-1) ) = 2.5
Then, do doubt, the answer is 2.5
There are web sites and videos that stand ready to show you how to bisect an angle.
The basic idea is that you draw an arc through both rays so that the points of intersection are the same distance from the vertex. Then, you construct a perpendicular bisector of the segment between those intersection points. That will bisect the angle.
For (3), you bisect each of the angles made by the original bisector. (1/2 of 1/2 = 1/4)
The answer is 2 1/2. Because you need to cross cancel then you take the "freeway", and you get 5/2 and simplified is 2 1/2.And since half equals .5 it would be 2.5 just in case you also needed decimal.
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