Isolate the absolute value expression
We are given coordinate of K point (7,4).
We need to find the new coordinate of K' point.
Given rule is K' = Ro 270°^(k).
That represents rotation of k 270 degree about the origin.
<em>The rule for rotation of 270 degree about the origin is as following:</em>
<em>(x, y) --------> (y, -x).</em>
Now, applying same rule on point (7,4).
(7,4) -----------> (4,-7).
<h3>Therefore, the coordinates of k' is (4,-7).</h3><h3>Correct option is A. (4,-7).</h3>
Hello,
f(x)=y=4x+12
x=4y+12
==>4y=x-12
==>y=x/12- 3
g(x)=x/12 -3
Answer/Step-by-step explanation:
1. The figure is composed of a triangle and a rectangle.
Area of the triangle = ½*base*height
base = 4 ft
height = 12 - 8 = 4ft
Area of triangle = ½*4*4 = 8 ft²
Area of rectangle = length * width
Length = 8 ft
Width = 4 ft
Area of rectangle = 8*4 = 32 ft²
✔️Area of the figure = 8 + 32 = 40 ft²
2. The figure is composed of a semicircle and a triangle
Area of the semicircle = ½(πr²)
radius (r) = 3 cm
π = 3
Area = ½(3*3²) = 13.5 cm²
Area of triangle = ½*base*height
base = 3*2 = 6 cm
height = 6 cm
Area = ½*6*6 = 6 cm²
✔️Area of the figure = 13.5 + 6 = 19.5 cm²
Answer:
Step-by-step explanation:
1 yes
2 yes
3 yes
4 yes
