Answer:
The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
Step-by-step explanation:
Given : A quarter of a circle with radius labeled 2 in.
Quarter of circle means fourth part of a circle (as shown in image by shaded part).
We have to find the perimeter of this shaded quarter of circle.
Perimeter is the sum of the dimension of the given figure.
Perimeter of circle is 
Since, we are given Quarter circle so its perimeter 
Perimeter of given figure = 
Perimeter of given figure = 
Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
Answer:
Time taken n = 19 years (Approx)
Step-by-step explanation:
Given:
Amount of car P = $27,500
Decrease rate r = 15% = 0.15
Final amount A = $1,254
Find:
Time taken n
Computation:
A = P[1-r]ⁿ
1,254 = 27,500[1-0.15]ⁿ
0.0456 = [0.85]ⁿ
Time taken n = 19 years (Approx)
Answer: slope= 6
Slope intercept equation= y= 6x +2
Step-by-step explanation:
Slope formula: (y2 - y1) ÷ (x2 - x1) > (-4-8) ÷ (-1-1) = -12/-2 or 6
Plug slope (-6) and one coordinate into point slope form: y-1=m (x-1)
where m is slope and (1,8) would be (x,y)
Y-8= 6(x-1) > y-8 = 5x -6 > y= 6x +2
Answer:
The slope of the line representing the linear function f(x) is determined as 
. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as
So, substitute 
for 
and 
respectively, and 
for 
and 
respectively in the above formula. Then simplify to get the slope as follows,
The slope of the line is obtained as . Now, as 
, so the function f(x) is decreasing.
