D
Radius of the circle is the length of rectangle divided by 2 (7cm)
Area of circle: pi*r²
Pi= 22/7
(22/7)*7²
=154
Since its a half circle, divide 154 by 2 =77
Area of rectangle:14*9=126
Subtract the circle from the rectangle: 126-77=49
The area of the polygon is 25.5 square units
<h3>How to determine the area of the polygon?</h3>
From the figure, we have the following coordinates
A = (-2, 1)
B = (3, 2)
C = (5, -3)
D = (-1, -3)
The area of the polygon is then calculated as:
A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|
Substitute the known values in the above equation
Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3 - 5 * 2) + (5 * -3 + 1 * -3) + (-1 * 1 + 2 * -3)|
Evaluate the sum of products
Area = 0.5 * |-51|
Remove the absolute bracket
Area = 0.5 * 51
Evaluate the product
Area = 25.5
Hence, the area of the polygon is 25.5 square units
Read more about areas at:
brainly.com/question/25292087
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X^2-4x-32=0
(x+a)(x+b)
x^2-(a+b)x+ab
a+b=4
ab=-32
a=-b+4
(-b+4)b=-32
-b^2+4b=-32
b^2-4b-32=0
b=8,-4
If b=8, a=-4
If b=-4, a= 8
Plug in a and b to (x+a)(x+b)
x= -4, 8
Answer:
Step-by-step explanation:
Trace a linha de 8cm, daí você vai dividir ela no meio, ou seja, no 4. Aí é só contar 2 cm para cada lado, que vai ser o 1, as pontas vão ser o 2. Tendeu? Daí é só marcar os pontos no -3/7(~-2,3), 1,6, 7/5(1,4), -1 e 0
Answer:
Step-by-step explanation:
slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5
slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3
product of the slopes = -1, so the lines are perpendicular.
