The completion is certainly not unique. Multiplying any of the new vectors by a nonzero constant will not affect the span or the linear independence, but will change the basis. To prove that you can extend any linearly independent set S to a basis, you proceed by an iterative argument. If S spans you are done. hope this helps :)

5 0

4 years ago

Which of the following is an extraneous solution of mc015-1.jpg? x = –12 x = –3 x = 3 x = 12

kramer

The answer
the full the question is as follow:
Which of the following is an extraneous solution of (45 - 3x)^1/2 =x -9

for solving such an equation, this is the method:

finding the squared value of each member of the equation
[(45 - 3x)^1/2 ]² = (x -9)² (E)

extend each value of the member
[(45 - 3x)^1/2 ]² = 45 - 3x, because (sqrt a )² = a
the condition is 45 - 3x≥0 ( because of the square root)
it means - 3x≥ -45 and x ≤ 15

(x -9)² = x²-18x + 81

so 45 - 3x = x²-18x + 81, this is equivalent to x² - 15x +36 =0

this equation should solve for x, for finding the help

Delta = 15² - 4*36 = 81, so x = - (-15) - sqrt (81) / 2 *1=15-9 /2= 3

and x = - (-15) +sqrt (81) / 2 *1= 15 +9/2= 24/2=12

for x= 12, the equation given above ( equation E) has no solution, because
we can find 3=9

so an extraneous solution is x = 12

3 0

4 years ago

Help plz:)))I’ll mark u Brainliest

jonny [76]

Answer:

4/5

Step-by-step explanation:

Given :

A right angled triangle with sides 24 , 3 and 40 .

And we need to find the value of sinZ .

We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,

$:\implies$ sinZ = p/h

$:\implies$ sin Z = 32/40

$:\implies$ sin Z = 4/5

Hence the renquired answer is 4/5.

5 0

3 years ago