Answer:
the volume of the sphere is
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere and cube.
Given data
Volume of cube v = 64 cubic inches
since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,
we know that volume of cube is expressed as
also diameter d=length l
Diameter d=
Radius r = = =
Height h=
we know that the volume of a sphere is given by
substituting into the formula we have
X/8 = 19/13 => x = (8*19)/13 = 11.69 inches long;
Answer:
x(x+1)²
Step-by-step explanation:
x is a common factor to all terms so the first step is to factor it out:
... x(x² +2x +1)
The quadratic factor is recognizable as the square (x+1)², so the factoring is ...
... x(x +1)²
Step-by-step explanation:
Divide by any number except 0 means the same as multiply by its inverse.
The inverse of is
Therefore
Used the commutative property of multiplication: a × b = b × a
Answer:
y = 2x - 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - (-3) / -2 - (-1)
-2/-1
= 2
y = 2x + b
-3 = 2(-1) + b
-3 = -2 + b
-1 = b