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Zepler [3.9K]
2 years ago
8

Find the least common denominator (LCD) of

Mathematics
2 answers:
Yanka [14]2 years ago
8 0

\large\underline{\sf{Solution-}}

\sf \: \frac{1}{6} and \frac{4}{9}  \\

\sf =  \frac{1}{6}  +  \frac{4}{9}  \\

\textsf{Take the LCM of 6 and 9 is 18 }\\

\sf \:  =  \frac{3 + 16}{18}  \\

=  \sf  \frac{19}{ 18}  \\

iVinArrow [24]2 years ago
5 0

Answer:

LCD(1/6, 4/9) = 18

In fraction form:

1/18

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A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same a
ziro4ka [17]

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

                       

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

                   = b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

                   = b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

4 0
2 years ago
Find the volume of the square pyramid below
Snowcat [4.5K]

Answer:

A

Step-by-step explanation:

The volume (V) of a pyramid is

V = \frac{1}{3} area of base × perpendicular height (h)

area of square base = 4² = 16 and h = 4, hence

V = \frac{1}{3} × 16 × 4 = \frac{64}{3} = 21 \frac{1}{3} ft³

7 0
3 years ago
Helppppppppppppppppppppppppp
Solnce55 [7]
Set the two expressions equal to each other.

7x + 3 = 9x

Simplify, isolate the x, subtract 7x from both sides

7x (-7x) + 3 = 9x (-7x)
3 = 2x

Set the equation = 0, subtract 3 from both sides

3 (-3) = 2x (-3)

0 = 2x - 3

2x - 3, or D, should be your answer

hope this helps
8 0
3 years ago
Tim's credit card has a restriction that he must pay either 15 percent of the unpaid balance or $25, whichever is greater
AveGali [126]

Answer:

He has to pay 15% as that is 32 and more than $25

Step-by-step explanation:

If you take 15% out of 216 it will become 32.

3 0
3 years ago
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A number is k units to the left of 0 on the number line . Describe the location of its opposite
shusha [124]
The opposite of left is right, so the number opposite k is k units to the right.
8 0
2 years ago
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