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Effectus [21]
2 years ago
8

Line ab passes through points a(-6,6) and b(12,3). if the equation of the line is written in slope-intercept form, y=mx+b, then

m= -1/6. what is the value of b?
Mathematics
1 answer:
gladu [14]2 years ago
6 0

Answer: 5

Step-by-step explanation:

We have the equation of the line is of the form y=-\frac{1}{6}x+b.

Substituting in the coordinates (12,3), we get that:

3=-\frac{1}{6}(12)+b\\\\3=-2+b\\\\b=5

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In the ΔABC, the altitude AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.
bekas [8.4K]
AB = 30 in and BC = 50 in.

We use Pythagorean theorem to solve this.  Since AN is an altitude, this means that it is perpendicular to BC.  This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:

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NC and AN form the legs of the other right triangle, with AC being the hypotenuse:

24²+NC² = 40²
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Subtract 576 from both sides:
576 + NC² - 576 = 1600 - 576
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