The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in feet of the cable above the roadway, x is the horizontal distance in feet from the left bridge support, a is a constant, and (h, k) is the vertex of the parabola. At a horizontal distance of 30 ft, the cable is 15 ft above the roadway. The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support.Which quadratic equation models the situation correctly? The main cable attaches to the left bridge support at a height of ft.The main cable attaches to the right bridge support at the same height as it attaches to the left bridge support. What is the distance between the supports?

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general 11 months ago 4279

Can you please check my answers?Select the order pair(s) that are solutions to this system of inequalities: y < -3x + 2 y ≥ x - 1 Question 1 options: (0, 0) <<<<(0, -4) (1, 4) <<<<(-3, 3)Select the order pair(s) that are solutions to this system of inequalities:y ≤ -2x + 3y < 1/2 x - 2Question 2 options:(0, 0) <<<<(5, -1)(0, -3) <<<<(-2, -3)Select the order pair(s) that are solutions to this system of inequalities:y ≤ 3y > -x + 1Question 3 options:(0, 0) <<<<(2, 2)(-1, 3) <<<<(5, -1)What are the real and imaginary parts of the complex number?−6+2iEnter your answers in the boxes. (Can someone help me with this one?)The real part:The imaginary part:Which expression is equal to (−8−3i)+(3+4i)? 4 −5+i <<<< I chose this one..is it right? −11+7i −4Which expression is equal to (5−2i)−(1+3i)? 4+3i 6−5i 4−5i <<<< I chose this one, is it right? 4+iWhich expression is equal to −2i(4−i)? −8−2i 8−2i <<<< 2−8i −2−8iMultiply.(5+2i)(4−3i)Enter your answer, in standard form, in the box.I got (2i+5)(-3i+4) is that right?

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general 11 months ago 4853

The Changs updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. They paid 2007-03-04-00-00_files/i0120000.jpg% sales tax on their purchases. If the Changs paid $351.72 total, determine if they paid the correct amount. a. The Changs family paid $0.33 too much for their purchases. b. The Changs family paid $0.99 too much for their purchases. c. The Changs family paid $5.94 too much for their purchases. d. The Changs family paid the correct amount for their purchases

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general 11 months ago 9157