The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters.Using this information, how many triangles can be constructed.

Answers

Answer 1
Answer: I m pretty sure it's 1
Answer 2
Answer:

Answer:

none

Step-by-step explanation:


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8-2x<4 solve inequality

Answers

Answer:

x > 2

x ∈ ( +2 ; + oo )

Step-by-step explanation:

8 - 2x < 4

8 - 4  < 2x

4 < 2x | : 2

2 < x

x > 2

x ∈ ( +2 ; + oo )

What are 2 changes in the environment in Massachusetts during the fall that cause animals to prepare for the winter???

Answers

The temperature begins to drop, the day light hours shorten, and plants start to go dormant; there is three.
temperature and the leaves on the trees since its fall

Which one is bigger 4m or 400dm

Answers

1 m = 10 dm
4 m = 40 dm
40 dm < 400 dm

Answer: 400 dm is bigger.
400 dm is greater becayse 1m=10dm

Number between 55 and 101 that is a multiple of 4 8 and 16

Answers

48 ⚓⌛⏳➕➖✖➗❇. I think though idk
The number that is between 55 and 101 that is a multiple od 4 8 and 16 is 64. I know this because 4 can go into 64 16 times and 64 is between 55 and 101. Also, 8x8 equals 64 and 16x8 equals 64. This proves that 64 is one of the numbers.

If x and y are real numbers such that x > 1 and y < −1,then which of the following inequalities must be true?
A. x/y> 1
B. |s|^2 > |y|
C. x/3− 5 > y/3 − 5
D. x^2 + 1 > y^2 + 1
E. x^(−2) > y^(−2)

Answers

x > 1\ \wedge\ y < -1\n\nA.\ (x)/(y) > 1-FALSE;example:x=2;\ y=-2\ then\nL=(2)/(-2)=-1;R=1;\ L < R\n\nB.\ |x|^2 > |y|-FALSE;example:x=2;\ y=-6\ then\nL=|2|^2=2^2=4;R=|-6|=6;\ L < R\n\nC.\ (x)/(3)-5 > (y)/(3)-5-TRUE;(x)/(3)-5 > (y)/(3)-5\to(x)/(3) > (y)/(3)\to x > y

D.\ x^2+1 > y^2+1-FALSE;example:x=2;\ y=-3\ then\nL=2^2+1=4+1=5;R=(-3)^2+1=9+1=10;L < R\n\nE.\ x^(-2) > y^(-2)-FALSE;example:x=3;\ y=-2\ then\nL=3^(-2)=(1)/(9);R=(-2)^(-2)=(1)/(4);\ L < R

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.

Answers

Given: f(x) = (1)/(x-2)

           g(x) = (2x+1)/(x)

A.)Consider

f(g(x))= f((2x+1)/(x) )

f((2x+1)/(x) )=(1)/(((2x+1)/(x))-2)

f((2x+1)/(x) )=(1)/((2x+1-2x)/(x))

f((2x+1)/(x) )=(x)/(1)

f((2x+1)/(x) )=1

Also,

g(f(x))= g((1)/(x-2) )

g((1)/(x-2) )= (2((1)/(x-2)) +1 )/((1)/(x-2))

g((1)/(x-2) )= ((2+x-2)/(x-2) )/((1)/(x-2))

g((1)/(x-2) )= (x )/(1)

g((1)/(x-2) )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f((2x+1)/(x) )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g((1)/(x-2) )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)