1/2x + 3 = 2/3x + 1....multiply everything by the common denominator of 6
3x + 18 = 4x + 6
3x - 4x = 6 - 18
-x = - 12
x = 12 <====
multiplying by the common denominator will get rid of the fractions
Answer:
y = -3/4x - 6
Step-by-step explanation:
Use y-intercept (0, -6) and slope -3/4 and put into y=mx+b form to solve for b
Remember that m is also known as slope!
-6=(-3/4 * 0) + b
b= -6
y= -3/4x - 6
Answer:
The value of the length of AC is 14
Step-by-step explanation:
When points are collinear, it simply means that the points lie on the same straight line.
In this question , we have three points which lie on same straight line.
These are points A, B and C with B between A and C.
Thus the length AC can be obtained by adding the length of AB to the length of BC
Mathematically, the value of the length of AC will be 8 + 6 = 14
Answer:
Step-by-step explanation:-227 is in The sequence
13,7,1,-5,-11,.....
First term=a=13
Common difference=d=7-13=-6
Checking if -227 is in The sequence
using the formula
Tn=a+dx(n-1)
-227=13+(-6)x(n-1)
-227=13-6n+6
collect like terms
6n=13+6+227
6n=246
Divide both sides by 6
6n/6=246/6
n=41
Therefore -227 is the 41ist term Of The sequence
