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bulgar [2K]
3 years ago
15

Select all line segment measurements below that could NOT be used to form a triangle. a triangle with the side measurements of 3

, 4, and 6 inches a triangle with the side measurements of 2, 3, and 5 inches a triangle with the side measurements of 3, 3, and 4 inches a triangle with the side measurements of 5, 5, and 5 inches a triangle with the side measurements of 4, 4, and 8 inches a triangle with the side measurements of 7, 8, and 16 inches
Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer:

a triangle with the side measurements of 2, 3, and 5 inches

a triangle with the side measurements of 7, 8, and 16 inches

a triangle with the side measurements of 4, 4, and 8 inches

Step-by-step explanation:

A triangle is a polygon shape with three sides and three angles. There are different types of triangles such as isosceles triangle, scalene triangle, equilateral triangle and right angle triangle.

The triangle inequality theorem states that the sum of any two sides of a triangle is always greater than the third side.

For a triangle with the side measurements of 3, 4, and 6 inches:

3 + 4 > 6. This can be a triangle

For a triangle with the side measurements of 2, 3, and 5 inches:

2 + 3 is not greater than 5, hence it cannot be a triangle

For a triangle with the side measurements of 3, 3, and 4 inches:

3 + 3 > 4. This can be a triangle

For a triangle with the side measurements of 5, 5, and 5 inches

5 + 5 > 5. This can be a triangle

For a triangle with the side measurements of 4, 4, and 8 inches:

4 + 4 is not greater than 8, hence it cannot be a triangle

For a triangle with the side measurements of 7, 8, and 16 inches:

7 + 8 is not greater than 16, hence it cannot be a triangle

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Taya2010 [7]

Answer:

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bottom row on 3 page; 3) 4/3 4) 3/2 5) 12/5

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Step-by-step explanation:

You never specified if these had to be simplified or turned into a fraction, so I just simplified them. That's about it.

I hope this helps :)

7 0
2 years ago
Make x the subject of the formula<br> p+x=t
yan [13]

Answer:

x=t-p

Step-by-step explanation:

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3 years ago
Read 2 more answers
Four times a number x is at least 16
Angelina_Jolie [31]

Answer:

4

Step-by-step explanation:

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x=4

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2 years ago
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8
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The answer is A. 6 and 10
3 0
3 years ago
According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it h
andreyandreev [35.5K]

Answer:

The graph f(x)=x^2-4x+3  has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph f(x)=x^2-4x+3

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation f(x)=x^2-4x+3  the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, f(x)=x^2-4x+3=0

This is a quadratic equation, x^2-4x+3=0

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0

\Rightarrow x(x-1)-3(x-1)=0

\Rightarrow (x-3)(x-1)=0

Using zero product property, a\cdot b=0 \Rightarrow a=0\ or \ b=0

\Rightarrow (x-3)=0 or \Rightarrow (x-1)=0

\Rightarrow x=3 or \Rightarrow x=1

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph f(x)=x^2-4x+3  has two zeros  namely 3 and 1.  

3 0
2 years ago
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