Answer:
The 64th term of the arithmetic sequence is -1075.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The nth term of an arithmetic sequence is given by:
In which 
is the first term.
−4,−21,−38
First term -4, so 
Common difference of 
Thus
Find the 64th term of the arithmetic sequence
This is 
. So
The 64th term of the arithmetic sequence is -1075.
Answer:
one point
Step-by-step explanation:
A system of two linear equations will have one point in the solution set if the slopes of the lines are different.
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When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.
- ratio for first equation: 1/1 = 1
- ratio for second equation: 1/-1 = -1
These lines have <em>different slopes</em>, so there is one solution to the system of equations.
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<em>Additional comment</em>
When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.
y = mx +b . . . . . slope = m
When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.
ax +by = c . . . . . slope = -a/b
As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.
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If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.
N=5. All the angles of a triangle equal 180 degrees. So set all of your angles equal to 180. 6n+1+9n-4+108= 180. Combine like terms. 15n-3+108=180. Now subtract 108 and add 3 to the opposite side. 15n=75. Then divide 75 by 15. The answer is five!
To answer this first we set up a proportion and then solve. Lets do it:-
Cross Multiply:-
80 · 4 = 320
Divide:-
420 ÷ 12 = 60
So, 180 ears of corn are for
$60.Hope I helped ya!!
