40|2
20|2
10|2
5|5
1
A model satellite has a scale of 1 cm : 3 m. If the real satellite is 18 m wide, then how wide is the model satellite?
1 answer:
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Answer: y²z⁴ / x¹²
- The exponent of x is 12
- The exponent of y is 2
- The exponent of z is 4
Explanation:
1) Given expression to simplify:
2) Property: power of power:
3) Property: product of powers with the same base
4) Add the exponents
5) Pass the negative power to the denominator:
The exponent on x is 12. The exponent on y is 2. The exponent on z is 4.
First find the slope between any two points:
Where
are the two points
So calculating the slope:
So the slope is
And our equation will be in the format of
where
and 
So, now we have half of the equation:
Now to calculate b, we can plug in a point
and solve for b.
So
Lets use the point
So:
And then:
So our final equation is
Where
So calculating the slope:
So the slope is
And our equation will be in the format of
where
So, now we have half of the equation:
Now to calculate b, we can plug in a point
So
Lets use the point
So:
And then:
So our final equation is