Answer:
B. x = -5 +/- √30.
Step-by-step explanation:
2x^2 + 20x = 10
2(x^2 + 10x) = 10
2[ (x + 5)^2 - 25 ] =10
2(x + 5)^2 - 50 = 10
2(x + 5)^2 = 60
(x + 5)^2 = 30
x + 5 = +/- √30
x = -5 +/- √30.
Let the radius of the base be r units
Then the height will be 3r units
Volume of cylinder = pi r^2 h
24=pi r^2 × 3r
Pir^3 = 24/3
Pi r ^3 =8
r^3 = 8/pi
R = 2 / pi^1/3
Height = 6/pi^1/3
Think of when If you cross two lines you get a point where they meet
A point is a solution.
So if the lines never cross, then they would have no point, or A, No Solution
we know that
The area of the hexagon is equal to the sum of the areas of the six equilateral triangles
Let
x-------> area of one equilateral triangle
so

Divide by
both sides
-------> area of one equilateral triangle
To find an equivalent expression for the area of the hexagon based on the area of a triangle, multiply the area of one equilateral triangle by 
therefore
the answer is
The equivalent expression is equal to
1 is A - just plug and chug
2 is B - for 2 linear equations to have infinite solutions they mustbe the same
3 is C
4 is C - that is where they intersect
5 is A - same slope and different intercepts means no solutions