Here's a little known but very useful factoid:
If they're inversely proportional,
then their product is constant.
Here's how to use it:
-- We're told that Y = 8 when X = 7.
So when y=8 and x=7, their product is 56 .
-- If Y REALLY varies inversely as X, then
their product is ALWAYS going to be 56.
-- So when Y=4, X= (56/4) = 14 .
The answer is -2 + 4y^3 + 4x^2
Answer:
1/216
Step-by-step explanation:
The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.
<h3>Linear scale factor</h3>
If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.
<h3>Volume scale factor</h3>
The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...
(1/6)³ = 1/216
The volume of the filled portion of the cup is 1/216 of the volume of the cup.
Answer:
A = X+10
Step-by-step explanation:
with the given information, this is the equation you're looking for
Given:
Required:
We need to find the solution by Vièta's theorem.
Explanation:
Compare 1st equation with
we get
Vièta's theorem is
now solve this equation and we get
because addition of 1 and 2 is 3 and multiplication is 2
Now for 2nd equation
apply Vièta's theorem
by this
because addition of 3 and -5 is -2 and multiplication is -15
