Given a term in a geometric sequence and the common ratio find the first five terms and the formula representing the nth term. A
1 = 4, r = 5
2 answers:
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Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b
so we also need to convert ax+by=c into y=mx+b as shown below:
divide both sides by
Now compare it with y=mx+b, we get
So using values of a and b, we can find the slope
compare given equation -5x+2y=15 with ax+by=c, we get:
a=-5, b=2
Now plug both into above formula
Now matching these details with given choices we find that THIRD choice is the final answer.
Set up the following equations:
110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:
Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.
Plug this value into the second equation:
Add W to both sides:
Subtract 20 from both sides:
The width of the rectangle is 45 feet.
110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:
Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.
Plug this value into the second equation:
Add W to both sides:
Subtract 20 from both sides:
The width of the rectangle is 45 feet.