Answer:
A repeating decimal...
Step-by-step explanation:
Because the numbers after the decimal points keep repeating.
A rational number times a rational number=rational numberan irrational number times a rational number=irrational number
remember, a rational number is a number that can be written as a/b where a and b are integers and b≠0
A is irrational because the pattern doesn't repeatb is irrational because it's a crazy square rootC is irrationalD is not irrational, it is a fraction
answer is D
Use distance formula
=√(3-3)^2 +(-4-4)^2
=√64
=8
Answer:
500
Step-by-step explanation:
It's a box with a square base, so let's say the width and length are x and the height is y.
The surface area of the box without the top is:
A = x² + 4xy
300 = x² + 4xy
The volume of the box is:
V = x²y
Solve for y in the first equation and substitute into the second:
y = (300 − x²) / 4x
V = x² (300 − x²) / 4x
V = x (300 − x²) / 4
V = 75x − ¼ x³
To optimize V, find dV/dx and set to 0:
dV/dx = 75 − ¾ x²
0 = 75 − ¾ x²
x = 10
So the volume of the box is:
V = 75x − ¼ x³
V = 500
The maximum volume is 500 cm³.
Answer:
See below.
Step-by-step explanation:
f(x) = -|x + 9|
compared to
f(x) = |x|
has a graph that opens downward in an upside down V shape.
It has been moved 9 units left compared to the graph of f(x) = |x|.
It reflects over the x-axis.
