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Tamiku [17]
3 years ago
12

Find the solution of the square root of the quantity of x plus 2 plus 4 equals 8, and determine if it is an extraneous solution

Mathematics
2 answers:
il63 [147K]3 years ago
5 0
\bf \sqrt{x+2}+4=8\implies \sqrt{x+2}=8-4\implies \sqrt{x+2}=4
\\\\\\
x+2=16\implies x=16-2\implies x=14\impliedby 
\begin{array}{llll}
doesn't\ look\\
extraneous
\end{array}
Iteru [2.4K]3 years ago
4 0

Consider the equation:

\sqrt{x+2}+4 = 8

Subtracting '4' from both the sides of the equation, we get as

\sqrt{x+2}+4-4= 8-4

\sqrt{x+2}= 4

Squaring on both the sides of the equation, we get

(\sqrt{x+2})^2 = (4)^2

x+2 = 16

Subtracting '2' from both the sides of the equation, we get

x+2-2=16-2

x=14

Since, An extraneous solution is a solution that arises from the solving process that is not really a solution at all. But, in this equation x=14 is the solution of the given equation.

Hence, it is not an extraneous solution.

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valentinak56 [21]

Answer:

im pretty sure its b

Step-by-step explanation:

but somebody correct me if im wrong (:

6 0
3 years ago
What is the measure of o?
Anna71 [15]

Answer:

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Step-by-step explanation:

4 0
3 years ago
a person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a person standing at the other
Lynna [10]

The Height of the ceiling at the center is  57.6628 feet

In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.

It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.

The General form of ellipse is \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

According to the question,

Length of whispering gallery is 130 feet

The foci are located 30feet from the center (0,0)

So, 2a = 130

=> a = 130/2

=> a = 65

and c = 30

As we know ,

=> c² = a² - b²

=> (30)² = (65)² - b²

=> 900 = 4225 - b²

=> b² = 4225 - 900

=> b² = 3325

=> b = 57.7 feet

Therefore , the height of the ceiling at the center is 57.6628 feet

To know more about Ellipse here

brainly.com/question/19507943

#SPJ4

7 0
1 year ago
What is the volume of a cube that has a side length of 5 centimeters? Recall the formula .  
mixas84 [53]
The answer would be 125
7 0
3 years ago
Read 2 more answers
Find the reciprocal of 1/5
ivanzaharov [21]

Answer:

Hey! The reciprocal of 1/5 is 5!

Hope this helps :)

~sofia

6 0
3 years ago
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