For the first digit you have 10 options (0..9).
For each next digit you can't choose the same digit, so you have 9 options.
So number of combinations is 10*9*9*9*9 = <span>65610</span>
Slope of a line can be determined using this formula
m = (y₂ - y₁) / (x₂ - x₁)
From the question, we know that
(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)
plug the numbers into the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (9 - (-3)) / (2 - 2)
m = (9 + 3) / (2 - 2)
m = 12/0
m = undefined
The pairs must form a vertical line
Answer:
- see below for a diagram
- 15 m
Step-by-step explanation:
Stephanie is 1.8/1.2 = 1.5 times as tall as her shadow is long. We expect the same is true of the wind turbine.
The wind turbine's shadow is 10 m long, so its height is 1.5·(10 m) = 15 m.
The wind turbine is 15 m tall.
Simple,
first find what 19*7 and 3*5 is,
19*7=133
and
3*5=15
Factors in 133:
1,7,19,133
Factors in 15:
1,3,5,15
The GCF of 133 and 15 is 1. You can't simplify/reduce it anymore.
Answer:
x=3
Step-by-step explanation:
1) 10x+1-1 = 12x-5-1, this becomes a new equation
Equation: 10x = 12x-6
2) 10x-12x = 12x-12x-6, this become a new equation
Equation: -2x = -6
3) Divide both sides by -2: -2x/2 = -6/2
4) Once you simplify, you will get x=3
Hope this helps!
Step-by-step explanation: