And, S2
1 answer:
<u>Correct Question</u>
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?
Answer:
L=7
Step-by-step explanation:
From the first row: 2J+K=5
Therefore: K=5-2J
From the second column, 2K+J=7
Substitute K derived above into 2K+J=7
2K+J=7
2(5-2J)+J=7
10-4J+J=7
-3J=7-10
-3J=-3
J=1
Recall: K=5-2J
K=5-2(1)=3
K=3
From the third column, J+2L=15
1+2L=15
2L=15-1=14
L=7
Therefore, the value of L=7
CHECK:
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Step-by-step explanation:
We are required to construct 3 linear equations starting with the given solution z = 1/3.
<u>Equation 1</u>
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Multiply both sides by 9
Rewrite 3 as 5-2
9z=5-2
Add 2 to both sides
Our first equation is:
<u>Equation 2</u>
<u /><u />
Multiply both sides by 21
Rewrite 7 as 11-4
21z=11-4
Subtract 11 from both sides
Our second equation is:
<u>Equation 3</u>
<u /><u />
Multiply both sides by 6
Rewrite 6z as 4z+2z
4z+2z=2
Subtract 2z from both sides
Our third equation is:
Answer:
Step-by-step explanation:
By the geometric mean theorem,
So, by the Pythagorean theorem,