Answer:
(3x+2)(2x+3)
Step-by-step explanation:
Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
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2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
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3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
Answer:
12 cm³
Step-by-step explanation:
Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.
The volume of a sphere is denoted by:
, where r is the radius.
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. Plug in 2r for h and 18 for V:



Now plug in 9 for πr³ in the volume formula for the sphere:


The volume of the sphere is 12 cm³.
Answer:
5n + 12
Step-by-step explanation:
Perform the indicated multiplication. Then combine like terms:
2n + 3n + 12 = 5n + 12 (answer)
Answer: 
Step-by-step explanation:
To find the equation, you plug in the slope and given point. Then, you can solve and find the y-intercept.
[multiply]
[subtract both sides by
]

Now that we have the y-intercept, the equation is
.