Answer:
![in^2](https://tex.z-dn.net/?f=in%5E2)
Step-by-step explanation:
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Let's find the surface area of the pink rectangular prism first.
![2*10=20+20=40](https://tex.z-dn.net/?f=2%2A10%3D20%2B20%3D40)
![4*10=40+40=80](https://tex.z-dn.net/?f=4%2A10%3D40%2B40%3D80)
![4*2=8+8=16](https://tex.z-dn.net/?f=4%2A2%3D8%2B8%3D16)
![40+80+16=136](https://tex.z-dn.net/?f=40%2B80%2B16%3D136)
The surface area for the pink rectangular prism is
.
-------------------->>>>>
Now, let's find the surface area of the green rectangular prism.
![4*7=28+28=56](https://tex.z-dn.net/?f=4%2A7%3D28%2B28%3D56)
![4*7=28+28=56](https://tex.z-dn.net/?f=4%2A7%3D28%2B28%3D56)
![4*4=16+16=32](https://tex.z-dn.net/?f=4%2A4%3D16%2B16%3D32)
![56+56+32=144](https://tex.z-dn.net/?f=56%2B56%2B32%3D144)
The surface area for the green rectangular prism is 144
.
-------------------->>>>>
Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.
![136+144=](https://tex.z-dn.net/?f=136%2B144%3D)
![in^2](https://tex.z-dn.net/?f=in%5E2)
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Hope this is helpful.
Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]
Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189
The equation of the axis of symmetry is x = -b/(2a), which here equals
x = -(12)/[2(-1)], or x = 6
This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.
Answer:
The diagonals bisect each other.
Step-by-step explanation:
Not all diagonals of a parallelogram are equal.
The only quadrilaterals with all four sides being congruent are rhombus and squares so parallelogram is wrong.
The diagonals of a parallelogram bisect each other.
The diagonals of a parallelogram are only perpendicular when it is a square.
A. The discriminant is 81. The formula is b^2 - 4ac.
B. 2 answer and both will be rational due to the fact that the discriminant is a perfect square.
C. Solutions are 1/2 and -4. You can find using the quadratic formula.
Answer:
no, it is not a solution to the given inequality
Step-by-step explanation: