Answer:
the complete question in the attached figure
we have that
f(x)=3x/(4x²-4)
we know that
the denominator can not be zero
so
(4x²-4)=0
4x²=4
x²=1----> x=(+/-)√1
x1=1
x2=-1
the values of x=1 and x= -1 make the denominator zero, therefore they do not belong to the domain of the function
the answer is
the domain of the function is all real numbers except 1 and -1
Answer:
x =25
Step-by-step explanation:
This is an isosceles triangle because RS = ST
that means <r = <STR
4x-70 = STR
<STR + <STU = 180 straight line
subtract < STU from each side
<STR = 180 -<STU
we know angle stu = 6x
<STR = 180 -6x
we can substitute this into 4x-70 = STR
4x-70 = 180 -6x
add 6x to each side
4x+6x -70 = 180 -6x+6x
10x -70 = 180
add 70 to each side
10x-70+70 = 180+70
10x=250
divide by 10
10x/10 = 250/10
x =25
Answer:
see explanation
Step-by-step explanation:
Under a translation < 5, - 9 >
5 is added to the original x- coordinate and 9 is subtracted from the original y- coordinate, that is
A(1, 4 ) → A'(1 + 5, 4 - 9 ) → A'(6, - 5 )
B(2, - 2 ) → B'(2 + 5, - 2 - 9 ) → B'(7, - 11 )
C(- 3, 2 ) → C'(- 3 + 5, 2 - 9 ) → C'(2, - 7 )
Answer: If the monomial has only one variable.
3x² is a monomial of the 2nd degree with a leading coefficient of 3.
Step-by-step explanation: Think of the your like terms such as the coefficents A polynomial which has only one term is called monomial.
The degree of a monomial is defined as the sum of all the exponents of the variables.
A leading coefficient is the number multiply to the variable.
Answer:
Area = 6647.610055 cm^2
Circumference = 289.02652413 cm
Step-by-step explanation:
Area of Circle: Area = π*r^2
Circumference: C = 2*π*r or π*d
Area = π * 46^2 = 6647.610055
Circumference = 2*π*46 = 289.02652413