Answer:
y = -4
Step-by-step explanation:
12y + 4 = 8y-12
Subtract 8y from each side
12y - 8y +4 = -12
4y +4 = -12
Subtract 4 from each side
4y +4-4 = -12 -4
4y = -16
Divide by 4
4y/4 = -16/4
y = -4
The common difference is 4. U know that the formula is the first term + d(n -1). N-1 is 14 so u know that 14 times a number needs to equal 56 because the first term is -3 and 56-3 is 53. 14 * 4 is 56. So the common difference is 4
The combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3
<h3>Permutation and Combination</h3>
While combination has to do with selection, permutation has to do with arrangement.
According to the combination rule
nCr = n!/(n-r)!r!
The expression that gives the result of 20 is expressed below;
6C3 = 6!/(6-3)!3!
6C3 = 6!/3!3!
6C3 = 6!/6*6
6C3 = 720/36
6C3 =20
Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3
Learn more on combination here: brainly.com/question/4658834
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Answer:
z = 3
Step-by-step explanation:
Similar polygons have the ratio of their corresponding sides equal to each other. There:
9/z = 6/2
Cross multiply
z*6 = 9*2
6z = 18
z = 18/6
z = 3
