Radius is half of diameter,
as such, since the diameter is 10 in,
radius = 10/2 = 5 in
Answer:
y = ![\frac{25}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B6%7D)
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 5 when x = 6
k =
=
, thus
y =
x ← equation of variation
When x = 5, then
y =
× 5 = ![\frac{25}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B6%7D)
Answer:
the speed will be 3 meters
Step-by-step explanation:
Let your age be 'X'
Then the age of your brother will be
![\frac{1}{3} x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20x)
The age of your sister is 10, but can also be written as an expression (since it is the age of your brother +6)
![\frac{1}{3} x + 6](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%206%20)
Now we get the following equation:
![\frac{1}{3} x + 6 = 10](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%206%20%3D%2010)
Subtract 6 from both sides
![\frac{1}{3} x = 4](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20x%20%3D%204)
Multiply by 3
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
Hence, the answer on your question (which is your age) is 12.
Y = 4x + b
Plug in point
-2 = 4(-2) + b, b = 6
Solution: y = 4x + 6