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1 year ago

Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

1 answer:

7 0

The answer choice which explains that the three segments cannot be used to construct a triangle is; AC + CB < AB.

<h3>Which inequality explains why the three segments cannot be used to construct a triangle?</h3>

Since, It follows from the triangle inequalities theorem that sum of the side lengths of any two sides of a triangle is greater than the length of the third side.

Hence, since the sum of sides AC + CB is less than AB, it follows that the required inequality is; AC + CB < AB.

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3 years ago

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3 years ago

A paper is in the form of a rectangle ABCD in which AB= 18 cm and BC=14cm.A semicircular portion with BC as diameter is cut off.

svetoff [14.1K]

Answer:

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3 years ago

Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1

Hitman42 [59]

Answer:

$(f\circ g)(x)= x + 4$

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) as real functions, the composite function $(f\circ g)(x)$ is defined as:

$(f\circ g)(x)=f(g(x))$

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

$(f\circ g)(x)=f(g(x))= - (-x -1) + 3$

Removing parentheses:

$(f\circ g)(x)= x + 1 + 3$

Simplifying:

$\mathbf{(f\circ g)(x)= x + 4}$

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3 years ago