Someone help and plz make sure it’s right plz! :)
1 answer:
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The minimum distance between the point(-3,2) and the line y = -x + 1 is units.
The line that joins two points on a cartesian plane is a line segment.
Analysis:
The formula for calculating distance between a line and a point is
d =
where A = coefficient of x term of the line, B = coefficient of y in the line and C is the constant term of the line.
x1 and y1 are coordinates of the point.
for the line y = -x + 1 which is = y + x -1 = 0, A = 1, B = 1, C = -1, x1 = -3, y = 2
d = =
units
In conclusion, the distance between the point and the line is units
Learn more about distance between line segments: brainly.com/question/2437195
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The area of the composite figure is
Explanation:
From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.
Area of the rectangle :
The formula is given by
where and
Substituting, we have,
Thus, the area of the rectangle =
Area of the triangle :
The formula is given by
where
and
Substituting, we have,
Thus, the area of the triangle =
Area of the composite figure = Area of the rectangle + area of the triangle
Area of the composite figure =
Thus, the area of the composite figure is