Answer:
Slope of line 1 = 3
Slope of line 2 = -3
Slope of line 3 = -1/3
Line 1 and 2 = perpendicular
Line 1 and 3 = perpendicular
Line 2 and 3 = perpendicular
Step-by-step explanation:
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So what you do is (2/3)x-9=7. Add 9 to both sides (2/3)x=16. Multiply by reciprocal on both sides 16 x (3/2). 16 x 3 = 48. 48/2=24
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Answer:
C- (14, 4); The vertex represents the maximum profit.
Step-by-step explanation:
The leading coefficient of the quadratic function is negative, so the graph opens downward, and the vertex represents a maximum.
The maximum value is at ...
x = -b/(2a) = -28/(2(-1)) = 14
f(14) = -14^2 +28(14) -192 = 4
The vertex is (14, 4). It represents the maximum profit.
In the diagram, the area of the given shape is 102 cm²
<h3>Area of a Kite </h3>
From the question question, we are to determine the area of the given shape
The given shape is a kite
The area of a kite is given by the formula,

Where A is the area
p and q are the diagonals
In the given diagram,
p = 6cm + 6 cm = 12 cm
q = 3 cm + 14 cm = 17 cm
Thus,
Area of the kite = 
Area of the kite = 6 × 17
Area of the kite = 102 cm²
Hence, the area of the given shape is 102 cm²
Learn more on Area of a kite here: brainly.com/question/20597161
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