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:
Remi needs 15 cm of wood to be cut for the shelf.
Step-by-step explanation:
We have drawn the triangle for your reference.
Now Given:
Base measure (BC) =30 cm
Slant height (AB) = 24 cm
Slant height (AC) = 18 cm
Also Given horizontal shelf halfway between the base and the top.
In the triangle drawn horizontal shelf is denoted by DE.
We need to find the measure of DE.
Now we know that horizontal shelf halfway between the base and the top.
Hence by Midpoint theorem which states that;
"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

Substituting the value we get;

Hence Remi needs 15 cm of wood to be cut for the shelf.
Answer:
add 33 to both sides
Step-by-step explanation:
Given
-
x - 33 = 33 ( add 33 to both sides )
-
x = 66 ( multiply both sides by - 2 to clear the fraction )
x = - 132
Answer: O Yes; 6
Yes it is Arithmetic; the difference is 6
Step-by-step explanation:
If the numbers keep changing by the same value being added or subtracted, it is Arithmetic.
-15 - (-9) = -6 -9 - (-3) = -6 -3 - 3 = -6
"Same difference" as the saying goes!