Answer:
(2^2)(z^7)
Explanation:
The quotient rule states that if two powers have the same base and are on opposite places of a fraction (one is on the numerator, the other on the denominator), you subtract the exponents.
First looking at the powers with the bases of 2, 2^8 is the numerator and 2^6 is the denominator. When we subtract 8-6 we get 2, so 2^8/2^6 would simplify to 2^2.
Then, we look at the powers with the base of z. z^10 is the numerator and z^3 is the denominator. When we subtract 10-3 we get 7, so z^10/z^3 would simplify to z^7.
I hope this helps! Please comment if you have any questions:)
Answer:
8 hours
Step-by-step explanation:
basic equation
Q (flow rate) = V (volume)/ t (time)
so to find the time we just rearrange the equation and become
t = V/Q
V of cylinder
V = πr²T
and r (radius) = ½ diameter
V = 3.14 x 5² x 1.4
V = 109.9 m³
if the Q is 13 m³/hour then
t = 109.9/13 = 8.453 hours
round to nearest hour = 8 hours
Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
Answer:
Median: b
Altitude: c
Angle bisector: a
Perpendicular bisector: d
Step-by-step explanation:
