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3 years ago

Which set of three numbers could be better he side lengths of a triangle

Mathematics

1 answer:

myrzilka [38]3 years ago

4 0

The sides of a real triangle satisfy the <em>triangle inequality</em>, which just says any two sides add up to more than the third. It's strictly more; if two sides add up to exactly the third that's called a <em>degenerate triangle</em>. It's not a real triangle because the vertices are three collinear points.

The triangle equality fails when the sum of the two smallest sides fails to exceed the the largest side.

A. 4+6=10, degenerate triangle, not a real triangle

B. 4+7>7, isosceles triangles are real, SELECT

C. 4+3<10, not a real triangle

D. 4+7=11, degenerate triangle again

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if you’re using the inspection method, what constant term would you need in the numerator of this rational expression for to be

Fed [463]

Here you go hope this helps

4 0

3 years ago

8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

1 | 1 | 2

2 | 1 | 3

Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.

According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

7 0

3 years ago

Which of the following is written as a rational function?

Brrunno [24]

We have to identify the rational function among the given functions.

Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.

1. Consider the first function $G(x)= -2x$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

2. Consider the second function $P(x)= 3x+4$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

3. Consider the third function $Q(x)= x^2-8x+1$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

4. Consider the fourth function $F(x)= \frac{x+2}{5x}$ , since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.