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Ilia_Sergeevich [38]
3 years ago
5

!!!!! ITS RIGHT HEREE HELPPP

Mathematics
1 answer:
Softa [21]3 years ago
3 0

Answer:

Pretty sure it is B sorry if I am wrong :)

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Solve this equation. <br> Leave the answer as an improper fraction. <br> 3x^2 + 2 = 11 - x^2
Nikolay [14]

Answer:

x = \frac{3}{2}orx=-\frac{3}{2}

Step-by-step explanation:

The given Equation is

3x^{2} + 2 = 11-x^{2}   .................(i)

Adding ( x^{2} -11 ) on both sides of  (i)

3x^{2}+2+x^{2}-11 = 11-x^{2}+x^{2}-11

solving and cancelling out the terms will give

⇒ 4x^{2} -9=0  

⇒ (2x)^{2} -(3)^{2} = 0     ...................(ii)

Now we Know that

(a)^{2} -(b)^{2} = (a-b)(a+b)  

Applying this on equation (ii)

(2x-3)(2x+3)=0

This will lead us to

Either 2x-3 =0    .......(iii)        or     2x+3=0   ..........(iv)

Solving equation (iii) for value of x

2x - 3 =0

adding 3 on both sides

2x -3 +3 = 0+ 3

2x = 3

Cross multiplying gives

x=\frac{3}{2}

Solving equation (iv) for value of x

2x + 3 =0

adding -3 on both sides

2x -3 +3 = 0- 3

2x = -3

Cross multiplying gives

x=\frac{-3}{2}

so x=\frac{3}{2} and x=\frac{-3}{2}

7 0
3 years ago
I NEED HELP PLEASE :(
Licemer1 [7]
The SA is correct but volume is off. 4/3 times pi times radius cubed is 904.7787. When making your ratio you would divide the SA by the volume to get a ratio that is about 1 to 2.
5 0
3 years ago
Could a set of three vectors in ℝ^4 span all ℝ^4? Explain. What about n vectors in ℝ^m when n is less than m?
Elena-2011 [213]

Answer:

Check the ecplanation

Step-by-step explanation:

A set of three vectors in R^{4} represents a matrix of 3 column vectors, and each vector containing 4 entries (that is, a matrix of 4 rows, and 3 columns).

Let A be that 4x 3 matrix. The columns of A span R^{m}. if and only if A has a pivot position in each row. So, there are at most 3 pivot positions in the matrix A, but the number of rows is 4, therefore, there exist at least one row not having a pivot position. If A does not have a pivot position in at least one row, then the columns of A do not span R^{4}. It implies that the set of 3 vectors of A does not span all of R^{4}.

In general, the set of n vectors in R^{m} represents a matrix of in rows, and n columns (an in x matrix). So, there are at most n pivot positions in the matrix A, but n is less than the number of rows. In therefore, there exist at least one row that does not contain a pivot position.

And, hence the set of n vectors of A does not span all of R^{m}. for n < m

8 0
3 years ago
How to find the slope with only the x and y intercepts?
yuradex [85]
If we have the equation of a line: y=ax+b
How to find a if with only the x<span>-intercepts (called m)</span> and y-intercepts (called n)
+ First we have y=0 and x=m or 0=a*m+b or b= -a*m
+ Then we have x=0, y=n or n=a*0+b or b=n
And if m≠0 we have a= -n/m
and if m=0 this line has no slope

8 0
4 years ago
With regard to mathematics, what is an accepted statement of fact that is used to prove other statements
spayn [35]
In mathematics, a proof is a deductive agruement for a mathematical statement.In the argument,other prevoiusly establised statements, such as theroms, an be used. In principle, a proof can be traced back to self-evident or assumed statements, known as axioms, along with accepted rules of inference.
5 0
3 years ago
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