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17 Dec 2020, 05:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (01:08) correct
16%
(01:35)
wrong
based on 70
sessions
History
Date
Time
Result
Not Attempted Yet
(2,6) is the midpoint of the line segment connecting (–1,3) to P(x,y). What is the value of 2x + y?
(A) 1
(B) 9
(C) 10
(D) 12
(E) 19
(A) 1
(B) 9
(C) 10
(D) 12
(E) 19
17 Dec 2020, 06:17
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Mid Point formula, \( \frac{x1+x2 }{2}, \frac{y1+y2 }{2}\)
\( \frac{(-1)+x2 }{2} = 2, \frac{3+y2 }{2} = 6\)
\( x2 = 5, y2 = 9\)
\(2x+y = 2*5+9= 19\)
Ans E
\( \frac{(-1)+x2 }{2} = 2, \frac{3+y2 }{2} = 6\)
\( x2 = 5, y2 = 9\)
\(2x+y = 2*5+9= 19\)
Ans E
17 Dec 2020, 07:43
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The mid point formula for x is \(\frac{x_1+x_2}{2}\), the mid point formula for y is\(\frac{y_1+y_2}{2}\)
The value of \(x\) is
\(\frac{-1+x}{2}= 2 \) => \( -1+x=2*2 \) => \(x=5\).
The value of \(y\) is
\(\frac{3+y}{2}=6\) => \( 3+y=6*2 \) => \(y=12-3\) => y=9.
therefore, \(2x+y\) = \(5*2+9\) = \(19\).
Therefore, the OA is E.
The value of \(x\) is
\(\frac{-1+x}{2}= 2 \) => \( -1+x=2*2 \) => \(x=5\).
The value of \(y\) is
\(\frac{3+y}{2}=6\) => \( 3+y=6*2 \) => \(y=12-3\) => y=9.
therefore, \(2x+y\) = \(5*2+9\) = \(19\).
Therefore, the OA is E.
