A line has the equation 3x-4y=1 choose the equation of a line that is parallel to the given line

Mathematics

1 answer:

raketka [301]3 years ago

4 0

Step-by-step explanation:

The equation of the given line is 3x - 4y = 1

A line parallel to the given line will have slope that is the same as this one.

The equation of a straight line is expressed as;

y = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

Now, we write the given line in the slope - intercept form;

3x - 4y = 1

-4y = -3x + 1

Divide through by -4

$\frac{-4y}{-4}$ = $\frac{-3x}{-4}$ + $\frac{1}{-4}$

y = $\frac{3}{4} x$ - $\frac{1}{4}$

The slope of this line is $\frac{3}{4}$

Any line with the slope $\frac{3}{4}$ will be parallel to the given line.

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Given the formula for an arithmetic sequence f(7) = f(6) + 4 written using a recursive formula, write the sequence using an arit

natita [175]

Answer:

Of(7) = f(1) + 24

Step-by-step explanation:

Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

$\left.\begin{matrix}n &1&2&3&4&5&6 &7\\f(n)&2&6&10 & 14&18&22&26 \end{matrix}\right|\\f(n)=f(n-1)+d\:\: (Recursive \: Formula)\Rightarrow a_{n}=a_{n-1}+4\: \: \: (Arithmetic\: Formula)\\Of(7)=f(1)+6*4\Rightarrow a_{7}=a_{1}+(7-1)4\Rightarrow a_{7}=a_{1}+24\\$