The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct options are A, B, and C.
<h3>What is the triangle inequality theorem?</h3>
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
- (a+b) > c
- (b+c) > a
- (c+a) > b
For the given triangle, using the triangle inequality law, we can write,
EF + FG > EG
FG + EG > EF
EG + EF > FG
Hence, the correct options are A, B, and C.
Learn more about the Triangle Inequality Theorem:
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Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:

Transformation 1:

Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:

Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).
Here is my answer. Hope it makes sense!
Answer:
g(x) = ![2(\sqrt[3]{x})](https://tex.z-dn.net/?f=2%28%5Csqrt%5B3%5D%7Bx%7D%29)
Step-by-step explanation:
Parent function given in the graph attached is,
f(x) = ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
Function 'f' passes through a point (1, 1).
If the parent function is stretched vertically by 'k' unit,
Transformed function will be,
g(x) = k.f(x)
Therefore, the image of the parent function will be,
g(x) = ![k(\sqrt[3]{x})](https://tex.z-dn.net/?f=k%28%5Csqrt%5B3%5D%7Bx%7D%29)
Since, the given function passes through (1, 2)
g(1) =
= 2
⇒ k = 2
Therefore, image of the function 'f' will be,
g(x) = ![2(\sqrt[3]{x})](https://tex.z-dn.net/?f=2%28%5Csqrt%5B3%5D%7Bx%7D%29)
SOLUTION
The figure in the question is a cuboid with
length = 7 cm, width = 3cm and height = 4cm
Surface area of a cuboid is given as

Hence the answer is 122 square-centimeters