3 years ago

A function can only be represented by a straight line on the coordinate plain

2 answers:

5 0

False however a one to one function has to be represented by a straight line the way to test a function is the vertical line test

Alenkasestr [34]3 years ago

3 0

The answer for your question is true

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Find the distance between the following points using the Pythagorean theorem: (-5, 4) and (8, -3)

3241004551 [841]

First, draw a diagram to visualize the situation:

As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.

Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:

$\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ =\sqrt{(8--5)^2+(-3-4)^2} \\ \\ =\sqrt{(13)^2+(-7)^2} \\ \\ =\sqrt{169+49} \\ \\ =\sqrt{218} \\ \\ \approx14.7648... \end{gathered}$

Therefore, the distance between the points (-5,4) and (8,-3) is: √218.