Write an inequality to describe the half-space consisting of all points to the left of a plane parallel to the xz-plane and 11 units to the right of it.
What will be an ideal response?
y<11
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Describe the graph of the equation as either a circle or a parabola with a horizontal axis of symmetry.x2 + 4x + y2 + 10y = 50
A. The graph is a circle. B. The graph is a horizontal parabola.
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.Only the last 4 do not belong to an ethnic minority.
A. .09046 B. .00026 C. .20151 D. .01186
Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. A one-to-one correspondence that assigns every point, A, in the plane to another point, A, in the plane is called a translation. 2. A rotation is determined by a point, O, and a directed angle. 3. All isometries preserve orientation of geometric figures 4. Two triangles are congruent if and only if there is a rotation that takes one triangle to the other.
Solve the system of equations using Gaussian elimination or Gauss-Jordan elimination.5x + 5y - 3z = -1720x + 21y - 11z = -610x + 11y - 5z = 15
A. 
B. 
C. 
D. No solution