Points A, B and C lie in the coordinate plane. The slope between points A and B is 2.The slope between points B and C is 6. Sean says the slope between A and C is 4 ,the average of 6 and 2. Is sean correct ?explain

Sean is wrong

Step-by-step explanation:

Slope tell the rate of the steepness of a line. Slope just telling you the rate, not the distance. You can't average the slope of two lines because the length of the line can be different.  

Let's say A at (0, 0) and B (100, 200) and C at (101, 206). These coordinate fulfill the slope said above, but the slope of AC is 206/101= 2.04.

Sean can be right, but only if the horizontal length(x-axis distance) of AB=BC. If that so, using the example similar to above the coordinate can be A(0, 0), B(100, 200), C (200, 800). In this case, the slope is equal to the average of both lines.

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step-by-step explanation:

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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