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Travka [436]
2 years ago
10

D the length of a line segments with the following endpoints. (2,5) (5,9)​

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
5 0

Answer:

The length of this line is of 5 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this question:

The length of the line is the distance between these two points. So

d = \sqrt{(5-2)^2 + (9-5)^2} = \sqrt{3^2+4^2} = \sqrt{25} = 5

The length of this line is of 5 units.

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Write the equation of a line that is perpendicular to y=−1 and that passes through the point (8,-4)
Vera_Pavlovna [14]

Answer:

perp. slope: 1

y + 4 = x - 8

y = x - 12

5 0
3 years ago
The graph of the function f(x) = (x +2)(x + 6) is shown
dalvyx [7]

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4 ⇒ 1st answer

Step-by-step explanation:

f(x) = (x + 2)(x + 6) is a quadratic function with 2 factors (x + 2) and (x + 6)

By multiplying its two factors we will find the form of the quadratic function

∵ (x)(x) = x²

∵ (x)(6) = 6x

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∵ (2)(6) = 12

∴ f(x) = x² + 6x + 2x + 12

- By adding like terms

∴ f(x) = x² + 8x + 12

The quadratic function represented graphically by a parabola

Look to the attached figure

The x-coordinate of the vertex point of the parabola h = \frac{-b}{a}

where b is the coefficient of x and a is the coefficient of x²

∵ f(x) = x² + 8x + 12

∴ a = 1 and b = 8

∴ h = \frac{-8}{2*1}=-4

The y-coordinate of the vertex point is k = f(h)

∵ h = -4

∴ k = f(-4)

∴ k = (-4)² + 8(-4) = 12 = 16 - 32 + 12

∴ k = -4

∴ The vertex point of the parabola is (-4 , -4)

∵ The parabola is opened upward

∴ Its vertex is minimum point

∴ The minimum value of f(x) is y = -4

∵ The domain of the function is the values of x

∵ The range of the function is the values of y corresponding to the

   values of x

∵ x can be any real numbers

∴ x ∈ R, where R is the set of real numbers

∴ The domain of f(x) is all real numbers

∵ The minimum value of f(x) is y = -4

∴ y can be any real number greater than or equal to -4

∴ y ≥ -4

∴ The range is all real number greater than or equal to -4

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4

Learn more:

You can learn more about quadratic function in brainly.com/question/1332667

#LearnwithBrainly

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Step-by-step explanation:

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shutvik [7]

Answer:

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Step-by-step explanation:

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A website offers video game downloads for $5 each. customers can also subscribe for us
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Here is the answer

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Btw brainliest me plss

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