9⁹ ÷ 9⁶.
The expression 9³ is equivalent to 9⁹ ÷ 9⁶.
Using the law of exponents aⁿ÷aˣ = aⁿ⁻ˣ
9⁹÷9⁶= 9⁹⁻⁶ = 9³
Answer:

Step-by-step explanation:
Taking any two points, say (0,-3) and (2,-4), we can find the slope using the formula
, which gives
.
From the graph, we can see the y-intercept is
, so the equation of the line is
.
Answer:

Step-by-step explanation:
Given

--- remainder
--- divisor
Required
Find k
We have:
--- divisor
Equate to 0

Solve for x


This means that:

So, we have:


Collect like terms


Solve for k


Answer:
3. The amount of wallpaper for a wall in a bedroom
Step-by-step explanation:
1. The number of towels I can fit in a bathroom cabinet
<em>No, sounds more like volume, since a cabinet has space inside.</em>
2. The amount of ribbon used to decorate from one end of a room to the another
<em>No, sounds like perimeter, since a ribbon would need to cover space in one direction.
</em>3. The amount of wallpaper for a wall in a bedroom
<em>Yes, wallpaper is applied in 2 directions and lays flat on a surface to cover a certain area.</em>
Answer:
6
Step-by-step explanation:
If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.
So 6+7+8+5+Δ+4 = Δ + 30 has to be divisable by 9, and of course 0≤Δ≤9
36 is divisable by 9, so Δ has to be 6.