Modeling with Quadratic Equations Answers
Which solution can be simplified to determine when the object will hit the ground?
after 2.5 secondsafter 5.0 secondsafter 6.0 seconds
6 cm8 cm10 cm12cm
24 cm28 cm30 cm40 cm
after 1.5 secondsafter 3.0 secondsafter 6.0 seconds.
A triangle’s height is 6c meters and the base is c – 1 meters. Brian knows that the area of the triangle is 18 square meters and is trying to find the height. Which shows the equation Brian can use and the correct measure of the height of the triangle?Area of a triangle = 0.5(base)(height)
An object is launched into the air. The projectile motion of the object can be modeled using the functionh(t) = –16t2 + 72t + 5, where t is the time in seconds since the launch and h(t) represents the height in feet of the object after t seconds. What is true about the projectile motion of this object? Check all that apply.The initial height is 5 feet.The initial velocity of the object is –72 feet/second.The object will hit the ground after approximately 4.57 seconds.After 3 seconds, the object is 173 feet high.At t = 0, h(t) = 0.
What is the approximate value of the hypotenuse?
A "golden rectangle” is a rectangle where the ratio of the longer side to the shorter side is the "golden ratio.” These rectangles are said to be visually pleasing. An example of a "golden rectangle” has a length equal to x units and a width equal to x – 1 units. Its area is 1 square unit. What is the length of this golden rectangle?
6 cm8 cm✔ 10 cm12cm
Which solution can be simplified to determine when the object will hit the ground?
A triangle’s height is 6c meters and the base is c – 1 meters. Brian knows that the area of the triangle is 18 square meters and is trying to find the height. Which shows the equation Brian can use and the correct measure of the height of the triangle?Area of a triangle = 0.5(base)(height)
An object is launched into the air. The projectile motion of the object can be modeled using the functionh(t) = –16t2 + 72t + 5, where t is the time in seconds since the launch and h(t) represents the height in feet of the object after t seconds. What is true about the projectile motion of this object? Check all that apply.The initial height is 5 feet.The initial velocity of the object is –72 feet/second.The object will hit the ground after approximately 4.57 seconds.After 3 seconds, the object is 173 feet high.At t = 0, h(t) = 0.
What is the approximate value of the hypotenuse?
after 1.5 seconds✔ after 3.0 secondsafter 6.0 seconds.
The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer.
The numbers can be written as x and x 1. Set the product of the numbers equal to 1,332 to get x(x 1) 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x 37 and 36. Since the question asked for positive integers, the only viable solution is x 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.
✔ 24 cm28 cm30 cm40 cm
When will the object hit the ground?
What did you include in your response? Check all that apply.
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