Find an equation for the line with the given properties.Perpendicular to the line y = -9; containing the point (1, 4)
A. y = 4
B. y = 1
C. x = 4
D. x = 1
Answer: D
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Perform the operation and write the result in standard form.
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Give a geometric description of the set of points whose coordinates satisfy the given conditions.x2 + y2 ? 1, z = -2
A. All points within the parabola x2 + y2 = 1 in the plane z = -2 B. All points on the cylinder with radius 1 along the z-axis C. All points on or outside of the circle x2 + y2 = 1 and in the plane z = -2 D. All points on or within the circle x2 + y2 = 1 and in the plane z = -2
Provide an appropriate response.Find the standard equation for the position s of a body moving with a constant acceleration a along a coordinate line. The following properties are known: i. = a, ii.
= v0 when t = 0, and iii. s = s0 when t = 0,where t is time, s0 is the initial position, and v0 is the initial velocity.
A. s = + s0
B. s = at2 + v0t + s0
C. s = + v0t + s0
D. s = - v0t - s0
Solve. Round to the nearest tenth when necessary.Hillary is standing outside of the shopping mall. She is 5.2 feet tall and her shadow measures long. The outside of the department store casts a shadow of 75 feet. How tall is the store?
A. 2886 ft B. 106.7 ft C. 0.5 ft D. 52.7 ft