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3 years ago

y varies inversely with x. If y = 4 when x= -6, find the constant of variation and find the value of y when x= -2

Mathematics

1 answer:

Setler [38]3 years ago

4 0

Answer:

constant of variation: k = -24

y = 12 when x = -2

Step-by-step explanation:

y varies inversely with x equation is: y = k/x

where 'k' if the constant of variation

plug in:

4 = k/-6

cross-multiply to get value of 'k' which is -24

plug in:

y = -24/-2

y = 12

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The ratio x:10 is equilvalent to 9:6. What is the value of x

Troyanec [42]

Answer: x=20/3=6.67

Step-by-step explanation:

To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.

-----------------------------------------------------------------------------

Given

x:10=9:6

Cross Multiply

9·x=6·10

9x=60

Divide 9 on both sides

9x/9=60/9

x=20/3=6.67

Hope this helps!! :)

Please let me know if you have any questions

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3 years ago

Evaluate the expression 2b ^3+5 when b=3

pochemuha

Answer:

Step-by-step explanation:

b^3 is 27

2(27) is 54

54+5 is 59

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2 years ago

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photoshop1234 [79]

Answer:

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Step-by-step explanation:

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2 years ago

Find the perimeter of a rectangle with a length of

Luba_88 [7]

Answer:

$P = 8\sqrt{2} + 10 + 2\sqrt{6}$

Can only be simplified through calculator using decimal equivalents.

Step-by-step explanation:

The perimeter of a rectangle is the formula P=2l+2w. Here $l=4\sqrt{2}$ and $w=5+\sqrt{6}$ . So the perimeter is:

$P= 2l+2w\\P = 2(4\sqrt{2} ) + 2(5+\sqrt{6} )\\P = 8\sqrt{2} + 10 + 2\sqrt{6}$

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3 years ago

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Zolol [24]

Answer:

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Step-by-step explanation:

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