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omeli [17]
3 years ago
14

If y varies inversely as x, and y = 10 when x = 20, find x when y = 16.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

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Help me please i need help
Mila [183]

Answer:

  A.  y = 2x -9

  B.  y = -1/2x +1

Step-by-step explanation:

The given line is in slope-intercept form

  y = mx + b

where m is the slope. For your given line, the slope is 2.

A. A parallel line will have the same slope. It is convenient to start with a point-slope form of the equation for the line:

  y = m(x -h) +k . . . . . for slope m through point (h, k)

You want the equation of the line through (4, -1) with slope 2, so its equation is ...

  y = 2(x -4) -1

Simplifying to slope-intercept form, this becomes ...

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___

B. A perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line. That slope is ...

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As above, the point-slope form of the perpendicular line is ...

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