Provide the proper response.How many edges must there be in order to draw a connected planar network with 8 vertices that separates the plane into 6 regions?
A. 4
B. 14
C. 16
D. Cannot be drawn
Answer: C
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Find the equation of the graphed line.
A. y = 6x - 5
B. y = x - 5
C. y = -6x - 5
D. y = x + 6
Find an equation of the line with the given properties. Express your answer in slope-intercept form. Graph the lines.Passing through (6, 10) and parallel to 6x + 5y = 76
A. y = - x + 10
B. y = - x +
C. y = x +
D. y = - x + 76
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 70 kilograms is applied. Round your answer to one decimal place.
Hooke’s Law states that the force F required to compress or stretch a spring
(within its elastic limits) is proportional to the distance d that the spring is compressed or
stretched from its original length. That is, where k is the measure of the stiffness of
the spring and is called the spring constant. The table below shows the elongation d in
centimeters of a spring when a force of F kilograms is applied.
A) 2.3 centimeters
B) 4.6 centimeters
C) 6.9 centimeters
D) 9.2 centimeters
E) 3.5 centimeters
Factor.15x2 - 22xy + 8y2
A. (3x + 2y)(5x + 4y) B. (3x + 2y)(5x - 4y) C. (3x - 2y)(5x - 4y) D. (15x + 2y)(x + 4y)