Answer:
Given the sides of a triangle, the Pythagorean Theorem (its converse, really) lets us distinguish the right triangles from the other triangles. The right triangles are the ones where , where is the length of the longest sides and and are the other two. So the Pythagorean Theorem works for any triangle.
Step-by-step explanation:
Answer:
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Find a point-slope form for the line that satisfies the stated conditions. Slope , passing through (-5,4)
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I don't see a value for the slope. We need that to set the equation, otherwise I can write an unlimited number of equations that pass through (-5,4).
I'll assume a slope so that you can see how the procedure would work. I like 6, so we'll assume a slope of 6.
The equation for a straight line has the form y = mx + b, where m is the slope and y is the y-intercept, the value of y when x = 0. We want a line that has slope 6, so:
y = 6x + b
We need to find b, so substitute the point (-5,4) that we know is on the line:
4 = 6*(-5) + b and solve for b
4 = -30 + b
b = 34
The line is y = 6x + 34
1 whole is equivalent to 8/8
Catherine could take the original price of $144.97 and multiply it by .09 (9%). This would equal a sales tax of $13.073 which could be rounded to $13.01. Then add the original price of $144.97 to the tax of $13.01 to get a total of $157.98.