what is the equation of the line in standard form through each point? (3,1) & perpendicular to -4c + y - 1= 0
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The area wiped by the viper blade is approximately 486.7 square inches.
The area wiped by the wiper blade (), in square inches, is equal to the area of the circular section described below:
(1)
Where:
- Angle, in sexagesimal degrees.
- Inner radius, in inches.
- Outer radius, in inches.
If we know that ,
and
, then the area wiped by the wiper blade is:
The area wiped by the viper blade is approximately 486.7 square inches.
We kindly invite to check this question on circular sections: brainly.com/question/14989543
The coordinates of the original point <em>x</em>, can be obtained by reversing the given transformations individually
The coordinates of the original point <em>x</em> is
Reason:
The type of reflection = Glide reflection
Coordinates of the image of the point <em>x</em> = x'(3, -2)
The translation part of the glide reflection is (x, y) → (x + 3, y)
The line of reflection is y = -1
The coordinates of the original point = Required
Solution:
- A glide reflection is also known as a transflection, that involves a symmetric composite transformation of a reflection followed by a translation along the line of reflection
Reflection part;
The distance of the image point from the reflecting line = The object's
point distance from the reflecting line
Therefore, given that the reflecting line is the line y = -1, and the image
point is x'(3, -2), we have;
Distance of image from reflecting line =-1 - (-2) = 1
∴ Distance of object point from reflecting line = 1
y-coordinate of object point = -1 + 1 = 0
Point of image of the object before reflection and after translation = (3, 0)
Translation part;
The translation of the glide reflection is (x, y) → (x + 3, y)
Therefore, the location of the object before translation is ((x + 3) - 3, y), which from the point (3, 0) gives, ;
((3) - 3, 0) → (0, 0)
The coordinates of the original point <em>x</em> is
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