Which is a solution to the equation 6x + y = –4?
1 answer:
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Distance formula between 2 points (x1,y1) and (x2,y2)
D=
D=29 and one point is (-5,5) and the other is (k,0)
sub
29=
29=
square both sides
841=
841=
minus 25 both sides
816=
square root both sides don't forget positive and negative roots
+/-4√51=-5-k
add 5 to both sides
5+/-4√51=-k
times -1 both sides
-5+/-4√51=k
the possible values for k are
k=-5+4√51 or k=-5-4√51
D=
D=29 and one point is (-5,5) and the other is (k,0)
sub
29=
29=
square both sides
841=
841=
minus 25 both sides
816=
square root both sides don't forget positive and negative roots
+/-4√51=-5-k
add 5 to both sides
5+/-4√51=-k
times -1 both sides
-5+/-4√51=k
the possible values for k are
k=-5+4√51 or k=-5-4√51
The series is a convergence series and the sum of the series is -8/3
<h3>The type of the series</h3>The series is given as:
The above series has the following properties:
- First term; a = -4
- Common ratio, r = -1/2
Start by calculating the absolute value of the common ratio
Absolute value = |-1/2|
This gives
Absolute value = 1/2
The above value is less than 1.
It means that the series converges.
<h3>The sum of the series</h3>This is calculated using:
So, we have:
Evaluate the sum
Evaluate the quotient
Hence, the sum of the series is -8/3
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