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Questions in Grade High-school

[Done] Solve for \( b \) in the equation: \[ 2b^2 + 4b - 2 = 0 \]

[Done] Find the coordinates of point E if C is the midpoint of AE. - A has the coordinates of (-3, 1) - C has the coordinates of (-2, -1)

[Done] The point (3, 7) is reflected in the y-axis. What are the coordinates of the transformed point?

[Done] A basketball player achieves a hang time of 0.773 s in dunking the ball. What vertical height will he attain? The acceleration of gravity is 9.8 m/s\(^2\).

[Done] How many valence electrons do rare earth metals have?

[Done] Is [tex]4xy + 2y = 9[/tex] linear? If yes, write the equation in standard form and determine the x- and y-intercepts.

[Done] What is the time interval between the release of the ball and the time it reaches its maximum height? The acceleration due to gravity is 9.81 m/s\(^2\) and the maximum height is 4.4 m. Neglect air resistance.

[Done] A person walks 25 m west and then 45 m at an angle of 60 degrees north of east. What is the magnitude of the total displacement?

[Done] Prove the identity: \[ \cos(3x) + \cos(x) = 2\cos(2x)\cos(x) \]

[Done] What is \(0.2\) as a whole number?