Step-by-step explanation:
Let's represent the two integers with the variables
and
.
From the problem statement, we can create the following two equations:


With the first equation, we can subtract
from both sides to isolate the
variable to the left-hand side:

Now that we have a value for
, we can plug it into the second equation and solve for
:


Now, let's move everything to one side of the equation:

Factoring this quadratic will give us two values for
:


Since we now know
, we can plug this back into either of the original equations to get a value for
, which will be
.
So the two numbers that sum to
and have a product of
are
.
Answer:
Maya is incorrect
Step-by-step explanation:
1/10 of 0.6=
0.1*0.6=0.06
0.06≠0.006
Maya is incorrect
Answer:

Step-by-step explanation:
The given system of equations is

and

The augmented matrix is
![\left[\begin{array}{ccc}2&4&|8\\6&3&|-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%264%26%7C8%5C%5C6%263%26%7C-3%5Cend%7Barray%7D%5Cright%5D)

![\left[\begin{array}{ccc}1&2&|4\\6&3&|-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%26%7C4%5C%5C6%263%26%7C-3%5Cend%7Barray%7D%5Cright%5D)

![\left[\begin{array}{ccc}1&2&|4\\0&-9&|-27\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%26%7C4%5C%5C0%26-9%26%7C-27%5Cend%7Barray%7D%5Cright%5D)

![\left[\begin{array}{ccc}1&2&|4\\0&1&|3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%26%7C4%5C%5C0%261%26%7C3%5Cend%7Barray%7D%5Cright%5D)

![\left[\begin{array}{ccc}1&0&|-2\\0&1&|3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%26%7C-2%5C%5C0%261%26%7C3%5Cend%7Barray%7D%5Cright%5D)
Hence 
Answer/Step-by-step explanation:
The two triangles we have in the diagram shar the same vertex. They are both similar triangles. Therefore, their side lengths would be proportional.
This means:

Solve for variable r and n respectively.
Thus:

Multiply both besides by 5.1


11.6 = r (nearest tenth)
Also,

Multiply both besides by 2.7


6.2 = n (nearest tenth)