<em>Step #1: </em>
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].
Yours is already in that form.
A = 1
B = 2
C = -2
<em>Step #2:</em>
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.
-- If the discriminant is zero, then the left side of the equation is a perfect square,
and both roots are equal.
-- If the discriminant is greater than zero, the the roots are real and not equal.
-- If the discriminant is less than zero, then the roots are complex numbers.
The discriminant of your equation is [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12
Your equation has two real, unequal roots.
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)
Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet
I) -7s^2+28st+21su
II) -8c^2+20cd
Answer: scroll down to find out :)
Step-by-step explanation:
This isn't a hard equation, so I would just use the points and figure something out.
Some obvious points are (3, 6), (6, 12), and (7, 14). Immediately, we notice that the y coordinate is 2 times the x coordinate.
So, the equation would be y = 2x.
<em>P.S. Let me know if I got it wrong! I'll be more than happy to fix it :)</em>
A refection on the y=x line and x=-x
