Zero point three zero zero
or
Zero and three tenths
Answer: the diameter of the circle is 226 cm
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Length of arc = 88π
θ = 140 degrees
Therefore,
88π = 140/360 × 2 × π × r
88π = 140/360 × 2 × π × r
Dividing both sides of the equation by π, it becomes
88 = 140/360 × 2r
88 × 360 = 140 × 2r = 280r
280r = 31680
r = 31680/280
r = 113 cm
Diameter = radius × 2
Diameter = 113 × 2 = 226 cm
Strictly speaking an equation does not have a domain. A function does. Though it may make sense to speak about a solution set to this equation over a domain.
The following could be helpful towards an answer: The equation has two sides. The left hand side is a non-linear function and the right hand side is a line with slope -1 and y-intercept of 1.
The function
has a domain over all Reals x for which it holds
so the domain of the nonlinear function is
.
The domain of the linear function 1-x is all Reals: 
So, together you could say the equation's solutions are defined over the domain
.
Lmk if you have questions.
Answer:
y = 9x/2 + 17/2
Step-by-step explanation:
Use the slope formula:
to find the slope of the line.
(4 - (-5)) / (-1 - (-3)) = (4 + 5) / (-1 + 3) = 9 / 2
y = mx + b
m is for slope, b = y-intercept
y = 9x/2 + b
Plug in one pair of the known values:
(-1,4)
4 = 9(-1)/2 + b
b = 4 + 9/2 = (8+9)/2 = 17/2
y = 9x/2 + 17/2
If you want to check if the equation is right, you can plug in the other pair of values into the equation:
(-3,-5), y = 9x/2 + 17/2
-5 = -3*9/2 + 17/2
-5 = -27/2 + 17/2
-5 = -10/2
-5 = -5