Answer:
34,220
Step-by-step explanation:
Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:
Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.
Answer:
A. Square
Explanation:
The square with sides: x+1
Has an area of: (x+1)^2
The rectangle with sides: x+2 and x
Has an area of: x(x+2)
So we simplify the square: (x+1).(x+1)= x^2+2x+1
Simplifying the rectangle: x^2+2x
Therefore the square area is larger by one unit.
Hope you get it!
Answer:
Step-by-step explanation:
The rate of change is a measure of the slope
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)
m = 
= ← rate of change
Answer:
How will the size of the model for 100,000 compare to the size of the model for 10,000? Possible answer: the pattern shows cube, long, flat, cube. So, the shape of the model for 10,000 will be long.
Step-by-step explanation:
X + 4y = 4
-x + 2y = 8
x + 4y - x + 2y = 4 + 8
6y = 12
y = 2
x + 4(2) = 4
x + 8 = 4
x = -4
(x,y)
(-4,2)
