We need a system of equations to solve this. "Difference" is to subtract, and we are taking this difference of the 2 squared unknowns to be 20. That equation is
. Our "first number is x^2, so 3 times that is 3x^2. "Increased by" is adding to that first number. What we are adding is the second number. The second equation is
. Let's solve the first equation for x^2:
and sub that value for x^2 into the second equation.
and
. Subtract 60 from both sides and combine the y^2 terms to get
. Divide both sides by 4 to get y^2 = 16 and y = 4. Let's go back now and solve for x. We will use the fact that y^2 = 16 to solve for x^2 and then take the square root of it.
, x^2 = 4, so x = 2. Your solutions are x = 2 and y = 4. There you go!
Answer: 0.8571
The explanation is in the image please
Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse
so recall your SOH CAH TOA
which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine
make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode
The cylinder and sphere !!!!
There are no choices but the association is :
Very strong negative linear association