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MA_775_DIABLO [31]
4 years ago
14

Susie bought 3 pies all for the same price and a snickers bar for $1 Emma bought one of same pies and spent $9 on flowers, they

both spent the same amount, how much did each pie cost
Mathematics
1 answer:
Sergeu [11.5K]4 years ago
4 0
Let x be the price of one pie.

3x + 1 = x + 9
3x + 1 - 1 = x + 9 - 1
3x - x = x - x + 8
2/2x = 8/2
x = 4
The pies cost $4
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Angle measures are ∠M = 90° and ∠L = 24°

Step-by-step explanation:

  • Step 1: In the figure, LM is a tangent to the circle N at point M.

Tangents create right angles at the point of contact with a circle.

So ∠M = 90°

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Answer:

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Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

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y'=-2\cdot x^{-2}

The numerical value of the slope is:

y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}

The component of the y-axis is:

y = \frac{2}{9}

Now, the tangent line has the following mathematical model:

y = m \cdot x + b

The value of the intercept is found by isolating it within the equation and replacing all known variables:

b = y - m \cdot x

b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}

Thus, the tangent line is:

y = -\frac{2}{81}\cdot x + \frac{4}{9}

The vertical distance between a point of the tangent line and the origin is given by the intercept.

d_{y} = \frac{4}{9}

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

-\frac{2}{81}\cdot x + \frac{4}{9}=0

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d_{x} = 18

The area of the triangle is computed by this formula:

A = \frac{1}{2}\cdot d_{x}\cdot d_{y}

A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )

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Step-by-step explanation: hope this helped!

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