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vitfil [10]
3 years ago
12

What is the equivalent fraction for 35/42

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0

Answer:

An equivalent fraction is 5/6

Step-by-step explanation:

In order to find this, divide both parts of the fraction by 7.

35/7 = 5

42/7 = 6

Now we can put this back together as a fraction.

5/6

shtirl [24]3 years ago
6 0

Answer: 35/42 is equivalent to 5/6


Step-by-step explanation:

35/42. I found what number could go into both 35 and 42, which is 7 and divided 35 by 7 to get 5 and then divided 42 by 7 and that gave me 6. I then put it back into a fraction to get 5/6.

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6 0
2 years ago
(a) Find the equation of the normal to the hyperbola x = 4t, y = 4/t at the point (8,2).
gtnhenbr [62]

The slope of the tangent line to the curve at (8, 2) is given by the derivative \frac{dy}{dx} at that point. By the chain rule,

\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}

Differentiate the given parametric equations with respect to t :

x = 4t \implies \dfrac{dx}{dt} = 4

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Then

\dfrac{dy}{dx} = \dfrac{-\frac4{t^2}}4 = -\dfrac1{t^2}

We have x=8 and y=2 when t=2, so the slope at the given point is \frac{dy}{dx} = -\frac14.

The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation

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Alternatively, we can eliminate the parameter and express y explicitly in terms of x :

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Then the slope of the tangent line is

\dfrac{dy}{dx} = -\dfrac{16}{x^2}

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5 0
2 years ago
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