Find the vertex, focus, and directrix of the parabola. Graph the equation.y2 + 6y = 4x + 15
A. vertex: (-6, -3)
focus: (-7, -3)
directrix: x = -5
B. vertex: (-6, -3)
focus: (-5, -3)
directrix: x = -7
C. vertex: (-6, -3)
focus: (-6, -4)
directrix: y = -2
D. vertex: (-6, -3)
focus: (-6, -2)
directrix: y = -4
Answer: B
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Write one or more inequalities that describe the set of points.The closed region bounded by the spheres of radius 2 and 6, both centered at the origin, and the planes and
A. 4 ? x2 + y2 + z2 ? 36 and 1 ? x ? 3 B. 2 < x2 + y2 + z2 < 6 and x = 1 and x = 3 C. 2 ? x2 + y2 + z2 ? 6 and x = 1 and x = 3 D. 4 < x2 + y2 + z2 < 36 and 1 < x < 3
Write the Hindu-Arabic numeral in expanded form.2,351,928
A. (2 × 106) + (3 × 105) + (5 × 104) + (1 × 103) + (9 × 102) + (2 × 101) + (8 × 100) B. (2 × 100) + (3 × 101) + (5 × 102) + (1 × 103) + (9 × 104) + (2 × 105) + (8 × 106) C. (2 × 107) + (3 × 106) + (1 × 104) + (9 × 103) + (2 × 102) + (8 × 101) D. (2 × 107) + (3 × 106) + (5 × 105) + (1 × 104) + (9 × 103) + (2 × 102) + (8 × 101)
Provide an appropriate response.Multiply (x + a)(x + b). What is the coefficient of the x-term?
A. 2a + 2b B. a + b C. a - b D. ab
Perform the indicated operations.Estimate by rounding so that there is only one nonzero digit, then find the actual sum.3,415 + 172 + 97 =
A. Estimate: 4300 Actual: 3682 B. Estimate: 3000 Actual: 3694 C. Estimate: 3300 Actual: 3684 D. Estimate: 3200 Actual: 3587