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Nataliya [291]
3 years ago
8

What is the length, in feet, of the wire?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0
<h2>The answer is <u>about 5.385 feet</u> if you are asking for the hypotenuse.</h2><h3 /><h3><em>Please let me know if that was not what you were asking for.</em></h3><h2 /><h2 />
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If f(x) = 2(x)^2+5 sqrt (x-2). complete the following statement. <br><br> f(2)=_____
dangina [55]

Answer:

The value of function at x = 2 is 8.

Step-by-step explanation:

Given : Function f(x)=2x^2+5\sqrt{x-2}

We have to find the value of given function at x = 2 , that is f(2)

Consider the given function  f(x)=2x^2+5\sqrt{x-2}

To find the value f(2) put x = 2 in given function ,

We have,

f(2)=2(2)^2+5\sqrt{2-2}

Simplify, we have,

f(2)=8+5\sqrt{0}

Simplify further, we have,

f(2)=8

Thus, the value of function at x = 2 is 8.

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3 years ago
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500 dollars for each employee
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How to find the x-intercepts of a parabola from the vertex, (-1,-108) and the y intercept (0,-105)?
Ulleksa [173]

Answer:

* The x-intercepts are -7 and 5

Step-by-step explanation:

* At first lets revise the standard and general forms of the

 quadratic function which represented graphically by the parabola

- f(x) = a(x - h)² + k ⇒ standard form

- Where point (h , k) is the vertex of the parabola

- f(x) = ax² + bx + c ⇒ general form

- Where a, b, c are constant

- c is the y-intercept ⇒ means x = 0

- h = -b/2a

- k = f(h)

* Lets solve the problem

- We will find the equation of the parabola

∵ The vertex is (-1 , -108)

∴ h = -1 and k = -108

∵ y-intercept = -105

- Equate the two forms

∵ ax² + bx + c = a(x - h)² + k ⇒ solve the (   )²

∴ ax² + bx + c = a(x² - 2hx + h²) + k ⇒ open the bracket

∴ ax² + bx + c = ax² - 2ahx + ah² + k ⇒ by comparing the two sides

∴ c = ah² + k

- Substitute the value of c , h , k in it

∴ -105 = a(-1)² + -108

∴ -105 = a - 108 ⇒ add 108 to the both sides

∴ 3 = a

- Lets write the equation in the standard form

∴ y = 3(x - -1)² + -108

∴ y = 3(x + 1)² - 108

* To find the x-intercepts means the parabola intersects the x-axis,

  then put y = 0

∴ 3(x + 1)² - 108 = 0 ⇒ Add 108 to the both sides

∴ 3(x + 1)² = 108 ⇒ divide the both sides by 3

∴ (x + 1)² = 36 ⇒ take square root for both sides

∴ (x + 1) = ± 6

# x + 1 = 6  OR x + 1 = -6

∵ x + 1 = 6 ⇒ subtract 1 from both sides

∴ x = 5

∵ x + 1 = -6 ⇒ subtract 1 from both sides

∴ x = -7

* The x-intercepts are -7 and 5

∴

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Answer:

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Step-by-step explanation:

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Some grass seeds can cover 1000 square feet with just 1 pound

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