What is the area of the figure below? A. 31.5 m B. 63 m C. 84 m D. 126 m
2 answers:
Hi! For the area of a parallelogram, we just need to multiply the base and the height. It may sound simple but the tricky part in this problem is determining which one is the height.
For a parallelogram, the height is defined as the measurement PERPENDICULAR to the base. Therefore, for this problem, we need to multiply 14 and 4.5 instead of 14 and 6.
ANSWER: B. 63 square meters.
For a parallelogram, the height is defined as the measurement PERPENDICULAR to the base. Therefore, for this problem, we need to multiply 14 and 4.5 instead of 14 and 6.
ANSWER: B. 63 square meters.
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9514 1404 393
Answer:
2x +y = -2
Step-by-step explanation:
The bisector must have a slope that is the negative reciprocal of the slope of the line between these points. It must pass through the midpoint of the segment.
The slope of the line through the given points is ...
m = (y2 -y1)/(x2 -x1)
= (5 -(-1))/(4 -(-8)) = 6/12 = 1/2
The slope of the required bisector is then ...
m = -1/(1/2) = -2
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The midpoint of the given segment is ...
((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)
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Then the point-slope form of the equation of the bisector is ...
y -y1 = m(x -x1)
y -2 = -2(x -(-2))
y = -2x -4 +2
y = -2x -2 . . . . . . . slope-intercept form equation
2x +y = -2 . . . . . . . standard form equation
