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3 years ago

12

What is the oblique asymptote of gx) = x2-3x-5?

1 answer:

oee [108]3 years ago

3 0

Answer:

B) $y=x-5$

Step-by-step explanation:

Because $g(x)=\frac{x^2-3x-5}{x+2}$ simplifies to $x-5+\frac{5}{x+2}$ , we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be $y=x-5$ . See the attached graph for a visual.

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Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle

dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

$Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0$

Similarly, In Triangle BOL

$Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0$

Equating the Value of h

$xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft$

Since we have found the value of x, we can now determine the height, h of the tree.

$h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet$

The height of the tree is 229.23 feet.

5 0

3 years ago

An engineering professor acquires a new computer once every 2 years. the professor can choose from three models: m1, m1, and m3.

Montano1993 [528]

Answer: 1+1=2 so if that is right we take the same principle. 2+2=5 BOOM

Step-by-step explanation:

3 0

3 years ago

Which of the following statements must be true based on the diagram below select all that apply

ipn [44]

Answer:

all are true other than NONE OF THE ABOVE

Step-by-step explanation:

Hope this helps. let me know if any questions.

3 0

2 years ago

A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey i

Nostrana [21]

Answer:

The man traveled 20km by train.

Step-by-step explanation:

If x is the distance he traveled by train, you can write this equation to represent the situation:

$10+x+2x=70$

Then, you can simply solve for x:

$10+3x=70\\3x=60\\x=20$

The man traveled 20km by train.

$10+(20)+2(20)=70\\10+20+40=70\\70=70$

3 0

2 years ago

HELP ASAP What is the coefficient of the term 6/7xy ?

yawa3891 [41]

Answer: The coefficient of the 6/7xy is 6/7.

7 0

3 years ago

Read 2 more answers