Solve the quadratic equation using the quadratic formula.x2 + 4x = 3
A. {2 + }
B. {-2 - , -2 +
}
C. {-1 - , -1 +
}
D. {-2 - 2, -2 + 2
}
Answer: B
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Find the equation of the tangent plane (or tangent "hyperplane" for a function of three variables) at the given point p.f(x, y, z) = x2 + y2 + xyz, p = (-3, -4, 0)
A. w = -6x - 8y + 25 B. w = -6x - 8y - 25 C. w = -6x - 8y + 12z + 25 D. w = -6x - 8y + 12z - 25
Write the equation of the line with the given slope and y-intercept.Slope = 9.5, y-intercept = -4
A. y = -4x + 9.5 B. y = 4.5x - 9 C. y = -9.5x + 4 D. y = 9.5x - 4
Convert the units.48 quarts = gallons
A. 12 B. 96 C. 192 D. 24
Solve the problem.Two forces, F1 of magnitude 35 newtons (N) and F2 of magnitude 55 newtons, act on an object at angles of and
(respectively) with the positive x-axis. Find the direction and magnitude of the resultant force; that is, find
Round the direction and magnitude to two decimal places.
What will be an ideal response?