If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4?

Mathematics

1 answer:

Delicious77 [7]3 years ago

6 0

Y=k/x
2.5=k/6
k=15

wheny x=4, y=15/4
y=3.75

You might be interested in

Find the output , h , when the input , x , is -18<br><br> h= 17+x/6

pantera1 [17]

Once you plug in -18 as x you divide it with 6 and the answer of that is -3 then you add 17 and -3 and your output will be 14!

3 0

4 years ago

Find an equation to the line perpendicular to 4x + 36y =80 an goes through the point (3,6) write answer in form y= Mx+b

Veronika [31]

Answer:

$\textbf{y = 9x + 21 }\\$

Step-by-step explanation:

$\textup{Given equation is: $4x + 36y = 80 $}\\\textup{This can be written in the form of $y = mx + a$ as follows}\\$ 36y = -4x + 80 $\\$ \implies y = \frac{80}{36} - \frac{4}{36}x $\\$ \implies y = \frac{-1}{9}x + \frac{20}{9} $\\\textup{This means that the slope of this line is $m = \frac{-1}{9}$}\\$

$\textup{Then the slope of the line perpendicular to this line would be \textbf{negative reciprocal of m}.}\\$i.e.,$ \textup{Slope of the perpendicular line would be $m_1 = \frac{-1}{\frac{-1}{9}}$}\\$\implies m_1 = 9$\\$