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zimovet [89]
2 years ago
14

an outfielder throws a ball to home plate. the balls path is modeled by the graph of y=x/5-x^2/1000 where x represents the horiz

ontal distance of the ball from the outfield and y represents the balls vertical distance above the ground. what are the coordinates of vertex of the ball's path?​
Mathematics
1 answer:
saul85 [17]2 years ago
4 0

The coordinates of the vertex for the quadratic function are given as follows: (100,10).

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

In this problem, the function is given as follows:

y = -x²/1000 + x/5

y = -0.001x² + 0.2x.

Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:

  • x_v = -\frac{0.2}{2(-0.001)} = 100
  • y_v = -\frac{(0.2)^2}{4(-0.001)} = 10

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

#SPJ1

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Semmy [17]

Answer:

The sides of a right triangle all right triangles fall under the identity a^2 + b^2 = c^2. Thus, if you draw the picture, you know that both a and b will be 32 feet. You plug 32 in, and get 32^2 + 32^2 =2048. The square root of 2048=45.25 ft. Thus, the diagonal will be 45.25 feet.

Step-by-step explanation:

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3 years ago
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Rus_ich [418]

Answer:

B:  g(x) = Ix - 4I + 6

Step-by-step explanation:

First, let's describe in a general way the transformations.

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For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

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If N is positive, the shift is to the left.

If N is negative, the shift is to the right.

Now we have the function:

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And we first have a shift of 4 units to the right, this is written as:

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Now we have a shift of 6 units up

This is written as:

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Now, knowing that f(x) = IxI, we can write

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Option B.

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3 years ago
Will mark braniest 2 left also add me i help
tatyana61 [14]
The answer would be 18
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