Não, não podemos fazer um triângulo com os comprimentos dos lados de 2 cm, 3 cm e 10 cm. Isso ocorre porque a soma de 2+3 < 10. (in english: No, we cannot make a triangle with the side lengths of measurement 2 cm, 3 cm, and 10 cm. This is because sum of 2+3 < 10).
<h3>What is triangle inequality theorem?</h3>
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,
Now, for this case, the sides given are:
- a =2 cm,
- b = 3 cm,
- and c = 10 cm
But we see that:
a+ b = 5 cm which is < c which is of 10 cm.
Thus, these lengths don't satisfy the triangle inequality theorem, and therefore, cannot be sides of any triangle.
Learn more about triangle inequality theorem here:
brainly.com/question/342881
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Answer:
g(x) = 2|x|
h(x) = 
|x|
Step-by-step explanation:
If you have g(x)=2f(x) and h(x)=f(x), you can rewrite the expressions in terms of |x| as the following:
- For g(x)=2f(x) you have:
g(x) = 2|x|
-For h(x)=f(x), you have:
h(x) = |x|
Answer:
20
Step-by-step explanation:
If <span>I
understand the question correct, the hockey season ticket holder paid
$72.48 for all of the tickets at once, and then $6.00 for each game
thereafter. The second person pays $18.08 for a ticket per game.
So then let g = the number of games. The problem can be written as a system of equations:
Person 1 = 72.48 + 6g
Person 2 = 18.08g
We are looking for when the number of games for both are the same. To do
this, just set them equal to each other and solve for g.
72.48 + 6g = 18.08g
Subtract 6g:
72.48 = 12.08g
Divide by 12.08:
g = 6
So after 6 games, the two would have paid the same price.
</span>
Answer:
Th three consecutive integers are:
-17, - 16 , - 15
Step-by-step explanation:
Let the consecutive integers are:
x
x + 1
x + 2
According to given condition:
x + x + 1 + x + 2 = -48
Adding like terms
3x + 3 = -48
Subtracting 3 from both sides
3x = -48 - 3
3x = -51
Dividing by 3 on both sides
x = -51/3
x = - 17
So the three consecutive integers will be:
x = -17
x + 1 = -17 + 1 = -16
x + 2 = -17 + 2 = -15
I hope it will help you!
