We need to remember that:
xyz = (x)(y)(z)
if x, y and z are perfect cubes, then xyz would also be a perfect cube
Also,
(x^n)^m = x^(mn)
if it is a perfect cube, then it can be factored into the expression (x^n)^3, wherein n is a whole number.
All should be a perfect cube, given
215x^18(y^3)(z^21)
By writing the terms separately, we would see which one is to be changed.
215 = 5*43, we see this is not a perfect cube, we could changed it to 6^3 or 216
x^18=(x^6)^3
y^3=y^3
z^21=(z^7)^3
The other terms are perfect cubes except for the first one. So the correct answer would be the last option, 215 should be changed.
Answer:
They must have the same slope, but different y-intercepts
Step-by-step explanation:
Slope is rise over run, or the rate of change
In B 5^2 = 25. There is no x anywhere.
In C f(x) = 2/x is a function of a reciprocal, not a quadratic.
In D f(x) = 2x^3 + 3x^2 - 5 is a cubic. A cubic is not a quadratic. The highest power of a quadratic is x^2
That leaves A. When you expand the brackets, you get
3(x^2 + 3x- 4x - 12)
2(x^2 - x - 12) when you remove the brackets you get
2x^2 - 2x - 24. The highest power of x is x^2. This is your quadratic.
A<<<< answer.
Answer:
67 square units
Step-by-step explanation:
Circumference/pi = diameter
29/3.14 = 9.24
Radius = 9.24/2 = 4.62
A = pi * r^2
A = 3.14 * 4.62^2 = 67 square units
