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2 years ago

Which graph represents the rational function f(x) equals X squared -16 divided by X squared minus 2X -8

Mathematics

1 answer:

masya89 [10]2 years ago

7 0

Answer:

It should be a graph of two branches, one on the top right, and bottom left, and the center of them should be at (-2, 1).

Step-by-step explanation:

f(x)=(x^2-16)/(x^2-2x-8)

= (x+4)(x-4)/(x-4)(x+2)

=(x+4)/(x+2)

=((x+2)+2)/(x+2)

=1+2/(x+2)

So the center is at (-2, 1)

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What is the equation of a line, in point-slope form, that passes through (−8, 1)(−8, 1) and has a slope of 5656 ?

crimeas [40]

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3 years ago

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Any help would be appreciated. Thank you!

trapecia [35]

Answer:

Area $=62.5\sqrt{6}$ square units

$AB=5\sqrt{15}$ units

$BC=5\sqrt{10}$ units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

$BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units$

a. The area of the triangle ABC is

$A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.$

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

$AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units$

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3 years ago

the ratio of apples to oranges in a fruit basket is 12:4 if there are 7 oranges in the fruit basket then how many apples and ora

Ugo [173]

Just simple proportions:

12(apples) x(apples)
-------------- = --------------
4(oranges) 7(oranges)

12*7 = 84
84/4 = 21

There are 21 apples + 7 oranges = 28 apples and oranges!

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2 years ago

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ASHA 777 [7]

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Julli [10]

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