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sp2606 [1]
3 years ago
13

When using quadratics to model parabolic motion, which value represents the time at which the object falls to the ground? x-inte

rcept y-intercept axis of symmetry vertex
Mathematics
1 answer:
morpeh [17]3 years ago
8 0

Answer:  x-intercept

<u>Step-by-step explanation:</u>

NOTES

1) Parabolic motion is represented by the equation:

   h(t) = -9.8t² + vt + h   (in meters per second²), v is velocity

   or

   h(t) =  -32t² + vt + h   (in feet per second²),  v is velocity

2) The x-axis is time (in seconds) & the y-axis is height (in meters or feet).

Since you want to know what time the object hit the ground, h = 0

Therefore, you are looking for the zero of the equation, which is on the x-axis, thus is the x-intercept.

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Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).
fomenos

Answer:

Step-by-step explanation:

You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation

y=a(x-h)^2+k and solve for a. Filling in:

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a = -2

The equation, then, is

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3 years ago
The sum of two numbers is 100 and their difference is 80, what are the two numbers
Vitek1552 [10]

Answer:

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Step-by-step explanation:

Let the two numbers are x and y.

It has been given that  sum of two numbers is 100. Hence, we have the equation,

x + y = 100 .........(i)

Now, the difference of these two numbers is 80. Thus, second equation is

x - y = 180......(ii)

Add equation (i) and (ii)

x + y + x - y = 100 + 80

2x = 180

Divide both sides by 2

x = 90

Substitute this value in (i)

90 + y = 100

y = 100- 90

y = 10

Therefore, the numbers are 90 and 10.

#Learn More:

The sum of two numbers is 450 and the smaller number is 120. What is the product?

Step-by-step explanation:

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