Answer:
Infinitely many triangles.
Step-by-step explanation:
Given the lengths of two sides are 8 inches and 10 inches.
Let's assume third side = x inches.
Using the Triangle Inequalities given as follows:-
1. a+b > c,
2. b+c > a,
3. c+a > b.
Using the lengths given in the problem, we can write:-
1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.
2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.
3. 8+10 > x ⇔ x < 18.
So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).
Hence, there are infinitely many triangles.
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
(
−
∞
,
∞
)
{x
|
x ∈ R
}
Hope this helps I'm 80% sure this right.
Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12,
xz_007 [3.2K]
The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.
<h3>How to determine the range of a function?</h3>
Given: 12x + 6y = 24
Here x stands for the input and y stands for the output
Replacing y with f(x)
12x + 6f(x) = 24
6f(x) = 24 - 12x
f(x) = (24 - 12x)/6
Domain = {-4, 0, 5}
Put the elements of the domain, one by one, to estimate the range
f(-4) = (24 - 12((-4))/6
= (72)/6 = 12
f(0) = (24 - 12(0)/6
= (24)/6 = 4
f(5) = (24 - 12(5)/6
= (-36)/6 = -6
The range exists {12, 4, -6}
Therefore, the correct answer is option c. {12, 4, -6}.
To learn more about Range, Domain and functions refer to:
brainly.com/question/1942755
#SPJ4
150% as fraction is 150/100 = 15/10 = 3/2 and thats the simplest form :)))
i hope this is helpful
have a nice day
