Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is
The length of AB is
The length of AD is
Since AB=AD, therefore ABCD is a square. The area of the of square is
The area of square is 29 units².
The area of a semicircle is
Since AB is the diameter of the semicircle, therefore the radius of the semicircle is
The area of the semicircle is
The area of the figure is
Therefore the area of the figure is 40.4 units². Option B is correct.
Answer:
see below
Step-by-step explanation:
A. Reflection across the y-axis replaces each x coordinate with its opposite.
B. Rotation 90° CW does the transformation (x, y) ⇒ (y, -x)
C. This is a translation left 2 units.
D. Rotation 90° CCW does the transformation (x, y) ⇒ (-y, x)
E. This is a translation left 7 and down 2.
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In the attached graphs, we have identified a point that is a corresponding point on each figure. This is so you can see how the various transformations move it and the rest of the figure in relation to it. 90° arcs are shown so you can see the rotations more easily.
The figures are labeled and color coded in accordance with the problem statement.
X=3; you can set up a proportion using the slope equation. So (y[sub2]-y[sub1])/(x[sub2]-x[sub1])=2/1 then plug in the values and simplify. Then cross multiply and solve for x. Rest of work shown in the picture
