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Virty [35]
3 years ago
13

When graphing a line, what are the y-intercept equations for 2 perpendicular lines?

Mathematics
1 answer:
Savatey [412]3 years ago
3 0
Say you have 2 perpendicular lines that are:

y=2x+2

y=- \frac{1}{2} -2

These lines are perpendicular because the slope is the negative reciprocal(flip the numerator and denominator EX: \frac{2}{1}=2 therefore the negative reciprocal is - \frac{1}{2}) and the y-intercept is just where each of the lines cross the y-axis.
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A bicycle wheel makes five rotations. the bicycle travels 44.48 ft. Find the diameter of the wheel in inches.
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Answer:

2.42 feet

Step-by-step explanation:

the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588

 

Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference

 

We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius

 

We divide 2 from both sides of the equation (3.14)(radius) = 3.794

 

We divide pi from both sides (radius) = 1.208

 

Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius

 

1.208 * 2 = 2.416 or 2.42 rounded up

 

Final answer = 2.42 feet

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