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mel-nik [20]
3 years ago
7

Which lines are perpendicular to 5x + 4y = 8?

Mathematics
2 answers:
Lilit [14]3 years ago
3 0
Finite Math. Find Any Equation Perpendicular<span> to the </span>Line 5x-4y=8<span>. 5x−4y=8 5 x - 4 y = 8. Choose a point that the </span>perpendicular line<span> will pass through. (0,0) 0 , 0</span>
Nana76 [90]3 years ago
3 0

Answer:

If two lines are penpendicular their slopes has to be reciprocal, satisfying the next condition:

m_{1} * m_{2} = -1

Step-by-step explanation:

First of all we have to obtain the slope of each line, we can do this by reducing the line equation into this form:

y = m*x + b, where m represents the slope.

  • y = \frac{5}{4}x + 2 m=\frac{5}{4}

  1. y = \frac{5}{4}x - \frac{5}{4} \\ m=\frac{5}{4} \\ m_{1}*m =\frac{25}{16}\\NotPerpendicular
  2. y = -\frac{4}{5}x - 3\\ m=-\frac{4}{5}\\ m_{1}*m=-1\\Perpendicular
  3. y =\frac{4}{5}x + 1\\m=\frac{4}{5}\\ m_{1}*m=1\\NotPerpendicular
  4. y =\frac{4}{5}x + 2\\ m=\frac{4}{5}\\m_{1}*m=1\\NotPerpendicular

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If you have the height and you have pi, all you need to take is the doubled radius (aka multiply it by 2) and plug that back into the formula. For the sake of an example, I'm going to make up the number 2 for the radius and 6 for the height. Here's what that would look like:

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