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kobusy [5.1K]
3 years ago
14

Suppose y varies directly as x. If x = 24 when y = 8, find y when x = 33.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Answer:

y= 17

Step-by-step explanation:

33-24= 9

y= 8+9

y= 17

hope this helpss

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The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

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How many centimeters are in 8 meters?
Law Incorporation [45]

Answer:

800 centimeters.......

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Translate this word phrase into an equation:
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Solve for x<br> angle given: 32<br> answer choices<br> -64<br> -32<br> -90<br> -58
marishachu [46]

Answer:

58

Step-by-step explanation:

Angle NPO is a right angle, then the angle 32 is equal to angle PNO, so x = 90 - 32 = 58.

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Hoochie [10]

Answer:

  • 36 units

Step-by-step explanation:

<u>Top base:</u>

  • a = 6 units

<u>Left leg:</u>

  • b = 8 units

<u>Bottom base:</u>

  • d = 12 units

<u>Right leg:</u>

  • c² = √6²+8² = √100
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<u>Perimeter:</u>

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