Answer:
A, 
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + b^2 = 9^2
64 + b^2 = 81
b^2 = 17
b =
Answer:
This is not a triangle
Step-by-step explanation:
If you use the triangle inequality theorem you can reach your answer.
The theorem states that if you add the length of any 2 sides together, you will have a length greater than the length of the other side. Using this method we can easily see that 7+6=13 which is less than 21. Meaning this is not a triangle
Answer:
hence g(x) is increasing at point x= 3+14i,3-14i
Step-by-step explanation:
given, g(x)=x^3-(8+1)x^2-4(9+2)x+5x2-1
g(x)=x^3-9x^2-44x+10x-1
g(x)=x^3-9x^2-34x-1
=3x^2-18x-34
for increasing and decreasing function,
3x^2-18x-34=0
x=3+14i 
0
x=3-14i 0
hence g(x) is increasing at point x= 3+14i,3-14i answer
Answer:
The compound inequality:
30 ≤ 2L + 2w ≤ 64
w < 12
The range:
3 ≤ w < 12
Step-by-step explanation:
Let L be he length , w the width and p the perimeter
p=2L + 2w
30 ≤ p ≤ 64 ⇌ 30 ≤ 2L + 2w ≤ 64 ⇌ 30 ≤ 24 + 2w ≤ 64 ⇌ 6 ≤ 2w ≤ 40
⇌ 3 ≤ w ≤ 20
but ,since the width is less than the length then w < 12
then 3 ≤ w < 12
G(x)=40x+4x2= -100 the vertex form is (-5,-100)
