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alekssr [168]
3 years ago
15

Write an equation of a line that is perpendicular to the line x-2y=8

Mathematics
2 answers:
alex41 [277]3 years ago
8 0

Answer:

y=-2x-4

Step-by-step explanation:

First you make the equation in y=mx+b form

x-2y=8

-2y=-x+8

y=1/2x-4

Then find the perpendicular line by finding the opposite reciprocal of the slope.

y=-2x-4

Helen [10]3 years ago
6 0

2x+y=8 is the equation perpendicular to x-2y=8.

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Can someone help me
erik [133]

Answer:

   6 < x < 23.206

Step-by-step explanation:

To properly answer this question, we need to make the assumption that angle DAC is non-negative and that angle BCA is acute.

The maximum value of the angle DAC can be shown to occur when points B, C, and D are on a circle centered at A*. When that is the case, the sine of half of angle DAC is equal to 16/22 times the sine of half of angle BAC. That is, ...

  (2x -12)/2 = arcsin(16/22×sin(24°))

  x ≈ 23.206°

Of course, the minimum value of angle DAC is 0°, so the minimum value of x is ...

  2x -12 = 0

  x -6 = 0 . . . . . divide by 2

  x = 6 . . . . . . . add 6

Then the range of values of x will be ...

  6 < x < 23.206

_____

* One way to do this is to make use of the law of cosines:

  22² = AB² + AC² -2·AB·AC·cos(48°)

  16² = AD² + AC² -2·AD·AC·cos(2x-12)

The trick is to maximize x while satisfying the constraints that all of the lengths are positive. This will happen when AB=AC=AD, in which case the equations be come ...

  22² = 2·AB²·(1-cos(48°))

  16² = 2·AB²·(1 -cos(2x-12))

The value of AB drops out of the ratio of these equations, and the result for x is as above.

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%
White raven [17]

Answer:

[Tex] \:/:/://///////////////////////////////////////::::::::::::::::::::::::::::::::7474838383+$83+

Answer = fracfracfracfrac tex tex????????????

8 0
3 years ago
The sum of two numbers a and b is equal to c. The number line below shows the values of a and c. Shat is the value of b?​
Volgvan

Answer:

HIS SGSEIJGR

Step-by-step explanation:

3 0
3 years ago
What percent of 77.5 is 28.52 ?
Fantom [35]
I would say 36.8
But I am it sure
8 0
3 years ago
5x+3y-z-4x-3y-z help please ​
damaskus [11]

The simplified version of this x-2z

Step-by-step explanation:

You need to start by combining like terms. You can start with the terms that have the variable x in them. By combining those terms, the equation becomes x+3y-z-3y-z.

From here, you can combine the terms 3y and -3y, which bring the equation to x-z-z.

From here, combine the terms with the variable z. This would bring the equation down too x-2z, your final answer.

7 0
3 years ago
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