Answer:
All real numbers
Step-by-step explanation:
The domain of the function represented by f(x) = x + 1 is the all real numbers as there is only addition involved in the function so putting any number as input will not lead the function to infinity.
Answer:
1. x > 4
2. m < 2
3. x > 2
4. x < -6
Step-by-step explanation:
These 4 inequalities will be solved the same way we solve equations. We take variables to one side and numbers to another and use algebra to solve. Each of them are solved shown below:
1.
so x is greater than 4, we can write (variable first):
x > 4
2.
so m is less than 2, we can write:
m < 2
3.
so x is greater than 2, we can write:
x > 2
4.
so x is less than -6, we can write:
x < -6
Answer:
A = 63.59
C = 28.26
Step-by-step explanation:
r = 4.5
Area of a circle:
A = πr²
A = 3.14(4.5²)
A = 3.14(20.25)
A = 63.59
Circumference:
C = 2πr
C = 2(3.14)(4.5)
C = 28.26
Answer:
Step-by-step explanation:
Givens
The triangle is equilateral. Given
<K = < M = 60 Property of an equilateral triangle.
IE = IE Reflexive property
Proof
- <IEK = <IEM = 90 Property of perpendicular
- <EIK = 180 - 60 - 90 All triangles have 180 degrees
- <EIK = 30 Subtraction
- <MIK = 180 - 60 - 90 All triangles have 180 degrees
- <MIK = 30 Subtraction
- <MIE = <KIE Both = 30 degrees
- IE = IE Reflexive property
- <IEK = <MEI Both are right angles.
- ΔMIK ≡ΔKIE ASA
