What is an equation of the line that passes through 7,3 and a slope of 4/7
1 answer:
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The type of transformation that has happened is a translation. Translation is when the image's size nor shape changes after transformation. every point in the image moves the same distance in the same direction.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
= (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point A did.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
= (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point A did.
The area of the shaded region is .
Solution:
Given radius = 4 cm
Diameter = 2 × 4 = 8 cm
Let us first find the area of the semi-circle.
Area of the semi-circle =
Area of the semi-circle = cm²
Angle in a semi-circle is always 90º.
∠C = 90°
So, ABC is a right angled triangle.
Using Pythagoras theorem, we can find base of the triangle.
cm
Base of the triangle ABC = cm
Height of the triangle = 4 cm
Area of the triangle ABC =
Area of the triangle ABC = cm²
Area of the shaded region
= Area of the semi-circle – Area of the triangle ABC
=
=
Hence the area of the shaded region is .