Use DESMOS and then take the points that are given and then plug them into your equations to show your work.
Desmos helps all equation problems that you need solved because it not only solves it, but also has it graphed with marked points.
It helped me through highschool.
Answer:
3 in
Step-by-step explanation:
The volume of the large sphere is ...
V = (4/3)πr³ = 288π . . . cubic inches
The volume of the smaller sphere is ...
288π -252π = 36π . . . cubic inches
The ratio of volumes of the smaller sphere to the larger is the cube of the ratio of radii. The radius of the smaller sphere will be ...
(6 in)∛(36π/(288π)) = (6 in)∛(1/8) = 3 in . . . . small sphere radius
You times 11.34 by 27 the divide by 100 it should be 3.0618
The points (1, 2) and (4, 2) both have the same y-value, so that is the horizontal line y = 2.
The given point has y-value of 3, so the line passing through it will be
... y = 3
_____
There is no x-term because the slope is 0. We could write it as
... y = 0x +3
but this simplifies to
... y = 3
Answer:
2x^3 + 3x^2 - 11x - 6.
Step-by-step explanation:
(2x+1) (x-2) (x+3)
= (2x + 1)[x(x + 3)-2(x + 3)]
= (2x + 1)(x^2 + x - 6)
= 2x(x^2 + x - 6) + 1(x^2 + x - 6)
= 2x^3 + 2x^2 - 12x + x^2 + x - 6
= 2x^3 + 3x^2 - 11x - 6.
