Answer:
Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.
The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:
a + b > c; a + c > b; b + c > a
Given a triangle with side length 4 m, 8 m, 9 m:
4m + 8m = 12m > 9m
4m + 9m = 13m > 8m
8m + 9m = 17m > 4m
Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.
3x-6=21
Or,3x=27
Or,x=27/3
Or,x=9
So,Now,
X-2=9-2
=7
Hope it helps
Answer:
P(X>5) = 0.857
Step-by-step explanation:
Let X
uniform(3.17)

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:


![P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%20%5CBig%20%5Bx%20%5CBig%20%5D%20%5E%7B17%7D_%7B5%7D)
![P(X > 5) =\dfrac{1}{14} [17-5]](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%5B17-5%5D)

P(X>5) = 0.857
Answers:
Functions
- y = -x+11
- y = 2x^2-6x+4
- y = -7
Not functions
- x = 3
- x^2+y^2 = 81
- y^2 = -5x-12
=======================================================
Explanation:
A function is possible if and only if any given x input leads to exactly one y output.
For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would <u>not</u> be a function. We would need x to pair with only y value to have it be a function.
We have the same thing going on with y^2 = -5x-12 as well.
For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.
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In summary, we have these three non-functions:
- x = 3
- x^2+y^2 = 81
- y^2 = -5x-12
Everything else is a function. You can use the vertical line test as a visual way to check.