Answer:
7x -1 is correct after combining like terms
Step-by-step explanation:
6+8x-7-x
To simplify algebraic expression we combine like terms
In the given expression
-x or -1x are same
8x and -1x are like terms
6 and -7 are also like terms
8x-1x= 7x
6 - 7 = -1
So 7x -1 is correct after combining like terms
The area of the composite figure can be solved by separating the figure into 3 portions, which are 2 identical rectangles with one rectangle.
The image of the composite figure will be shown below
Let us sketch out the image of the two identical rectangles
The formula for the area(A) of a rectangle is,
![A=length\times width](https://tex.z-dn.net/?f=A%3Dlength%5Ctimes%20width)
where,
![\begin{gathered} l=length=5m \\ w=width=2m \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20l%3Dlength%3D5m%20%5C%5C%20w%3Dwidth%3D2m%20%5Cend%7Bgathered%7D)
Therefore, the area(A1) of the two identical rectangles are
![\begin{gathered} A_1=2\times(5\times2)=2\times5\times2=20m^2 \\ \therefore A_1=20m^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A_1%3D2%5Ctimes%285%5Ctimes2%29%3D2%5Ctimes5%5Ctimes2%3D20m%5E2%20%5C%5C%20%5Ctherefore%20A_1%3D20m%5E2%20%5Cend%7Bgathered%7D)
Let me sketch the second rectangle
Therefore, the area(A2) will be
![\begin{gathered} A_2=3\times2=6m^2 \\ \therefore A_2=6m^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A_2%3D3%5Ctimes2%3D6m%5E2%20%5C%5C%20%5Ctherefore%20A_2%3D6m%5E2%20%5Cend%7Bgathered%7D)
Hence, the area(A) of the composite figure is
![\begin{gathered} A=A_1+A_2=20m^2+6m^2=26m^2 \\ \therefore A=26m^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3DA_1%2BA_2%3D20m%5E2%2B6m%5E2%3D26m%5E2%20%5C%5C%20%5Ctherefore%20A%3D26m%5E2%20%5Cend%7Bgathered%7D)
Therefore, the area is
![26m^2](https://tex.z-dn.net/?f=26m%5E2)
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The sides in order from smallest to largest are ...
AC, BC, AB
Then the opposite angles in order from smallest to largest are ...
B, A, C
Let's consider the choices:
A. m∠A < m∠C --- true
B. m∠B = m∠C --- true
C. m∠A < m∠B --- false
D. m∠B < m∠A < m∠C --- true
Answer:
37-16 Subtract the total of gummy bears(37) she ate by 16
=21.
21x3. Then subtract 21 by 3 because of 1/3
=63
Check your work:
63/3
=21
21+16
=37
Since f(2) is not given in the function definition, you must use f(n) with n=2. That tells you
... f(2) = -29 -f(1)
Now, f(1) is defined, so use that value.
... f(2) = -29 -(-16) = -29 +16
... f(2) = -13