Asked by wan
How to find missing number.,(180,14) (120,8) (?,4) (220,18)
Answers
Answered by
MathMate
If we assume that the ordered pairs (x,y)
follow a linear rule y=ax+b, we will be able to solve for the rule using two of the ordered pairs, and use the third to check if the rule is appropriate.
Thus, for the first ordered pair:
y=ax+b => 14=180a+b .... (1)
For the second ordered pair,
8=120x+b .... (2)
subtract (2) from (1):
6=60a => a=1/10
Substitute a into (1):
14=180(1/10)+b => b=-4
So the linear function is
y=x/10-4
Check with the fourth ordered pair:
220(1/10)-4=22-4=18 so it works.
Thus now put a and b into the third ordered pair and solve for x:
4=x(1/10)-4
Solve for x.
follow a linear rule y=ax+b, we will be able to solve for the rule using two of the ordered pairs, and use the third to check if the rule is appropriate.
Thus, for the first ordered pair:
y=ax+b => 14=180a+b .... (1)
For the second ordered pair,
8=120x+b .... (2)
subtract (2) from (1):
6=60a => a=1/10
Substitute a into (1):
14=180(1/10)+b => b=-4
So the linear function is
y=x/10-4
Check with the fourth ordered pair:
220(1/10)-4=22-4=18 so it works.
Thus now put a and b into the third ordered pair and solve for x:
4=x(1/10)-4
Solve for x.
Answered by
Angelito
I want the correct answer
Answered by
Angelito
The numbers in the circles go together in a certain way
Find the missing number marked by the question mark: 180, 14 120, 8 ___? 4 220, 18
Find the missing number marked by the question mark: 180, 14 120, 8 ___? 4 220, 18
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