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Sonbull [250]
3 years ago
15

Using the Proportion to Find a Missing Measure

Mathematics
1 answer:
zysi [14]3 years ago
3 0

Answer:

4 cm

Step-by-step explanation:

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What is x squared divided by x?
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Determine the equation of the tangent of the hyperbola that is parallel to the given line:
marin [14]

The tangent line to the curve has slope equal to \frac{\mathrm dy}{\mathrm dx}. Use implicit differentiation to find this derivative.

9x^2-4y^2=32

\implies18x-16y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{-18x}{-16y}=\dfrac{9x}{8y}

The given line in slope-intercept form is

9x+2y-1=0\implies y=\dfrac{1-9x}2

and has slope -9/2. Any line parallel to this one has the same slope. The tangent to the hyperbola has this slope at points (<em>x</em>, <em>y</em>) such that

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Find the points on the hyperbola where this condition is met.

9(-4y)^2-4y^2=140y^2=32\implies y^2=\dfrac{32}{140}\implies y=\pm\sqrt{\dfrac8{35}}\implies x=\pm4\sqrt{\dfrac8{35}}

Then use the point-slop formula to build the equations of these tangents:

y\mp\sqrt{\dfrac8{35}}=-\dfrac92\left(x\pm4\sqrt{\dfrac8{35}}\right)

8 0
3 years ago
Find the area of the trapezoid. {?} Square centimeters
RideAnS [48]

Answer:

68

Step-by-step explanation:

Use the formula provided...

6 and 11 are b1 and b2, and 8 is h.

So, 6+11 = 17

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I need help ...please someone get back to me ASAP. Thank you so much
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Step-by-step explanation:the answer is C

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