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aev [14]
3 years ago
13

Use distributive property to simplify 7(x +2)=6(x+5)

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0

7x+14=6x+30 is the answer

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What’s 9/3 - 6/10 need it in a reduced fraction
emmainna [20.7K]
I think u need to subtract both up and both down
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2 years ago
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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
Solve four tenths plus four ninths.
GaryK [48]

Answer:

D

Step-by-step explanation:

3 0
2 years ago
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3(negative 2-3x)=negative 9x-4
Andreyy89

Answer:

x = -2

Step-by-step explanation:

3(-2 - 3x) = -9x - 4 (Given)

3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)

-6 + 9x = -9x - 4 (Simplify)

-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)

-2 + 9x = -9x (Simplify)

-2 + \frac{-9x}{-9} = \frac{-9}{-9} (Division Property of Equality)

-2 = x (Simplify)

x = -2 (Symmetric Property of Equality)

3 0
3 years ago
At the shelter, 97% of the dogs are puppies. There are 100 dogs at the shelter. How many are puppies?
IgorC [24]

Answer:

Step-by-step explanation:

100(97/100)=97 puppies.

4 0
2 years ago
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