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.
Learn more about the System of equation here:
brainly.com/question/12895249
#SPJ1
Answer:
Step-by-step explanation:
Since this is a right triangle, we will use a right triangle trig identity to solve our problem. The side opposite the reference angle A is given as 5, and the side adjacent to the reference angle is given as 7. The trig ratio that uses the sides opposite and adjacent is the tangent ratio:
Hit the 2nd button on your calculator then the tan button which displays:
Enter 5/7 after that open parenthesis and hit = to get that
A = 35.54°
Answer:
He has written about 100 times as many words.
Step-by-step explanation:
In order to find this, we first need to find the number that he has written this month. In order to do so, we need to subtract the previous month from the current total.
12,580 - 125 = 12,455
Now that we have that number, we can divide it by the previous month to see how many times more words he wrote in the second month.
12,455/125 = 99.64 times more, or rounded, about 100 times more.
Answer:
6,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
We need to find which statements are true.
Solution to find the same we will solve each statement and will conclude the same.
1. 
Now On solving we get;
So we can see that 0.70 > 0.66
Hence The given statement is False.
2.
Now On solving we get;
So we can see that 0.5625 > 0.5
Hence The given statement is True.
3. 
Now On solving we get;
So we can see that 1.33 > 1.2
Hence The given statement is False.
4. 
Now On solving we get;
So we can see that 0.82 > 0.66
Hence The given statement is False.
