27)
Equation of the existing water pipe's line
a) slope, m = rise / run = Δy / Δx = 3/2
b) y-intercept, b = 3
equation: y = mx + b = (3/2)x + 3
Equation of the new water pipe's line
slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3
point (0,2)
=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe
28)
two parallel lines have the same slope =>
slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3
point (4,5) => y - 5 = (4/3) (x - 4)
=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3
y = (4/3)x - 1/3 <--- equation of the new bike path
Answer:
6201
Step-by-step explanation:
formula for series in AP
where n is the nth term and a is first term and d is difference between two terms in series 
Answer:
For the given function f(x)= -|x| + 2
the domain of the function is: All real numbers
the range of the function is: all numbers greater than or equal to 2
Step-by-step explanation:
We need to find the domain and range of the function f(x)= -|x| + 2.
Domain: Domain is defined as all the possible x values of x for which the function is true.
Range: Range is defined as all the possible y values.
So, For the given function f(x)= -|x| + 2
the domain of the function is: All real numbers (the function is true for all real numbers)
the range of the function is: all numbers greater than or equal to 2
(When solving the equation we will have value of f(x) equal or greater than 2)
Answer:
it would be 17.10 because .95 x 18 is 17.1 and 17.1 and 17.10 are the same
Step-by-step explanation:
1/2 multiplied by 2 both denominator and the numerator of 1/2 then you get 2/4.
