For the given system of linear equations to give an infinite number of solutions the value of k should be 2.
<h3>What is a Dependent Consistent System of equations?</h3>
A system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
Given the two systems of linear equations,
2x + 3y = 4
(k+ 2)x + 6y = 3k+2
For any system of equations to have infinitely many solutions, the equation of the linear system must be in ratio, so that the lines of the equations overlap each other. Therefore, the ratio for the two of the given equations can be written as,
2/(k+2) = 3/6 = 4/(3k+2)
Solving the ratio to get the value of k,
2/(k+2) = 3/6
2/(k+2) = 1/2
2 × 2 = 1 × (k+2)
4 = k + 2
4 - 2 = k
k = 2
Hence, for the given system of linear equations to give an infinite number of solutions the value of k should be 2.
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33.78 is your answer
1.85+8.56= 10.41
6.3+2.73= 9.03
5.25+4.09= 9.34
10.41+9.03+9.34= 28.78
28.78+7.95= 36.73
36.73 - 0.85= 35.88
35.88 - 2.1= 33.78
To find the number of strands needed divide the total weight by the force.
680 / 50 = 13.6
Because the answer is not a whole number you would round up to the next whole number.
13.6 rounds up to 14
The number of strands needed would be 14.
Absolute is a numbers distance from zero
Answer:
yes,this is congruent by SAS criteria