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Delicious77 [7]
3 years ago
13

Write The equation for the line parallel to y=4 through point (0,7) is what?

Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

y=7

Step-by-step explanation:

Parallel lines have the same slope(m) value.

Since our line is parallel to one whose equation is y=4;

The slope of our line is hence zero.

Slope(m) = change in y ÷ change in x

0 = \frac{y - 7}{x - 0}

Cross multiplying gives that the equation of our line is;

y=7

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Answer:

Step-by-step explanation:

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Assume that x equals x (t )and y equals y (t ). Let y equals x cubed plus 4 and StartFraction dx Over dt EndFraction ​=2 when xe
nika2105 [10]

Answer:dy/dt(x=3)=54

Step-by-step explanation:

We know that we can write:

\frac{dy}{dt}=\frac{dy}{dx} *\frac{dx}{dt}

and so evaluate it as a product of functions, that is for a given value of x or t, we get that  

\frac{dy}{dt}(s)=\frac{dy}{dx} (s) * \frac{dx}{dt}(s).

Now we are told that:

1. x=x(t),\ 2.y=x^3+4,\ \frac{dx}{dt} =2,\ for \ x=3,

whenever it happens, this means the influence of t is hidden, and we only consider the result, that is, how much is x when the derivative has the value of 2, we are not concerned for what value of t it happens, since we get all the necessary information beforehand.

Now we need to calculate

\frac{dy}{dx}=3x^2 \rightarrow \frac{dy}{dx}(3)=3(3)^2=27.

Therefore

\frac{dy}{dt}(x=3)=\frac{dy}{dx} (x=3) * \frac{dx}{dt}(x=3) or

\frac{dy}{dt}(x=3)=27 *2 = 54.

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4 years ago
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3 years ago
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