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PIT_PIT [208]
3 years ago
10

Enter the missing numbers in the boxes to complete the table of equivalent ratios.

Mathematics
1 answer:
ra1l [238]3 years ago
8 0
If the ratio is 5/60=1/12 then 3/x=1/12 x=36
1/12=y/72  72=12y y=6
10/z=1/12 z=120
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What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?
lidiya [134]

Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.

The equation is:

y(x) = \frac{9x^2}{x + 2}

The slope of the line tangent to the graph of y at x = 1 is y^{\prime}(1).

Applying the quotient rule, we have that:

y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}

y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}

y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}

Then, when x = 1:

y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5

The slope of the line tangent to the graph of y at x = 1 is of 5.

You can learn more about the use of derivatives to find the slope of a tangent line at brainly.com/question/10580177

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2 years ago
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3 years ago
The perimeter of a triangular garden with three equal size is 12.66 feet.What is the length of each side of the garden?
oksian1 [2.3K]
3 equal sides

so
if the legnth of 1 side is x
the legnth of the perimiter (all 3 sidess) is 3x

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The only possible solution is 1, 6 & 6

Step-by-step explanation:

Hope it helped :)

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