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rjkz [21]
3 years ago
11

A triangle has one side that is 6 units long and another side that is 3 units long.

Mathematics
1 answer:
kiruha [24]3 years ago
5 0

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

<h3>How to determine the possible length of the third side?</h3>

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

Read more about Triangle inequality theorem at:

brainly.com/question/2403556

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<img src="https://tex.z-dn.net/?f=f%28x%29%3D2%28x%29%5E%7B2%7D%2B5%5Csqrt%28%7Bx%7D%20%2B2%29" id="TexFormula1" title="f(x)=2(x
Delvig [45]

Answer:

f(2)=18

Step-by-step explanation:

f(x)=2(x)^2+5 \sqrt{x+2}\\f(2)=2(2)^2+5 \sqrt{2+2}\\=2*4+5\sqrt{4} \\=8+5*2\\=8+10\\=18

7 0
3 years ago
What ate the coordinates of the fourth point that could be connected with (-8, 0), (1,0), and (1-5)
Gnesinka [82]

Well you can find out by the question it's pretty easy....

you have to find the same x coordinates and then see what the difference is in the y coordinate. For example, (1,0), and (1,-5) the difference is -5. So for (-8,0), and (1,0) your answer would be (8,-5)

4 0
3 years ago
How the bloody hell do I answer these? Please explain how you did it.
prohojiy [21]
1. the formula for the slope is
\frac{y2 - y1}{x2 - x1}
where (a,0) is x1, y1 and (0,2a) is x2, y2. try to see if you can do it now (:

2. take a number x, then step by step do whatever the question asks for example "First, 3 is subtracted from x" so you know the first thing you need to do is x-3, then go on and you'll get an equation which you can use to solve for x, try it!

3. make a set, S, which has multiples of 7. then make a set, T, which has multiples of 13.
now the intersection of S and T is a set having all elements of S, also found in T (basically the numbers that are common to both). try doing it now!

for fourth, this requires a profit formula(that I do not know), must be explained in your book, try going over it, I'm sure you'll find it there!
7 0
3 years ago
What is the answer to f/3 &lt; -2
Hitman42 [59]

Answer:

1 i think

Step-by-step explanation:

hope this helps :) have a nice day :) :)

4 0
3 years ago
Which of the following illustrate the commutative property? select all that apply
Genrish500 [490]

For this case we have that the commutative property establishes that the order of the factors does not alter the product. Example:

5 * 6 = 6 * 5\\4 + 3 = 3 + 4

Then we have the following options illustrate the property:

3 + 4 + 6 = 3 + 6 + 4 = 13\\9 * 2 * 7 = 7 * 9 * 2 = 126\\2 + 3 + 1 = 3 + 1 + 2 = 6\\5 + 2-4 = 5-4 + 2 = 3

It is necessary to emphasize that option b illustrates the associative property and in option c equality is not fulfilled

Answer:

Option A, D, E, F

4 0
3 years ago
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