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Rainbow [258]
4 years ago
8

The price of an item has been reduced by 35%. The original was price was 19 %

Mathematics
1 answer:
erik [133]4 years ago
8 0

if the original price was $19 then the price now would be $12.35. we would solve this by   turning 35% into a decimal.. we get .35

what we do next is multiply 19 by .35 and we get 6.65

next, we subtract 6.65 from 19

and our final answer is: $12.35

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m∠SQR = 87°

Angles SQR and PQR are supplementary. The sum of the measures of supplementary angles is 180°.

Therefore:

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 6xy + 12y2 = 28, (2,
navik [9.2K]

Answer:

The equation of the tangent line is y = -\frac{5}{18}\cdot x +\frac{14}{9}.

Step-by-step explanation:

Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:

2\cdot x + 6\cdot y + 6\cdot x \cdot y' + 24\cdot y \cdot y' = 0

2\cdot (x + 3\cdot y) + 6\cdot (x + 4\cdot y) \cdot y' = 0

6\cdot (x + 4\cdot y) \cdot y' = -2\cdot (x+3\cdot y)

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If we know that (x,y) = (2, 1), then the slope of the tangent line is:

y' = -\frac{1}{3}\cdot \left(\frac{2+3\cdot 1}{2 + 4\cdot 1} \right)

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By definition of tangent line, we determine the intercept of the line (b):

y = m\cdot x + b

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If we know that (x,y) = (2,1) and m = -\frac{5}{18}, then the intercept of the tangent line is:

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The equation of the tangent line is y = -\frac{5}{18}\cdot x +\frac{14}{9}.

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