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The total length of the segment AC is the sum of AB and CB, which gives, CB = 9
<h3>How can the length of CB be found?</h3>The given parameters are;
- AC = 17
- AB = 32 + 3•x
- CB = 57 + 6•x
Required: <em>CB</em>
Solution:
AC = <em>AB + CB</em> by segment addition property
Therefore;
AC = 17 = 32 + 3•x + 57 + 6•x = 89 + 9•x
17 = 89 + 9•x
CB = 57 + 6•x = 57 + 6 × (-8) = 9
Therefore;
- <u>CB = 9</u>
Learn more about segment addition postulate here: brainly.com/question/1721582
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Answer:
Step-by-step explanation:
First find slope m. From observing the equation we can see that there are two points on the line. They are (-5,-4) and (-1,-6). Using the formula to find slope rise/run we get m = -0.5.
Now we use the point-slope formula to start the switch to the slope-intercept formula. Using (-1,-6) as our x and y values and switching m=-0.5 we get y + 6 = -0.5 ( x + 1). Simplify and we get y + 6 = -x/2 - -0.5. Subtract 6 from both sides and the final equation is y = -x/2 - 6.5.