Answer:
I. Circumference of circular flower bed = 31.42 ft.
II. Area of circular flower bed = 78.55 ft²
Step-by-step explanation:
Given the following data;
Diameter = 10 ft
Radius = diameter/2
Radius = 10/2
Radius, r = 5 ft
I. To find the circumference of the circular flower bed;
Circumference of circle = 2πr
Substituting into the formula, we have
Circumference of circular flower bed = 2*3.142*5
Circumference of circular flower bed = 31.42 ft
II. To find the area;
Area of circle = πr²
Substituting into the formula, we have;
Area of circular flower bed = 3.142*5²
Area of circular flower bed = 3.142*25
Area of circular flower bed = 78.55 ft²
Answer:
- slope: -3/4
- y-intercept: -2 . . . . or point (0, -2)
Step-by-step explanation:
Slope-intercept form is ...
y = mx + b
Comparing your equation to this pattern, you can see that your equation is already in this form, with ...
In this form, the coefficient of x (which is m) is the slope of the line. Thus your slope is -3/4. The added constant (which is b) is the y-intercept, the value of y when x=0. Your y-intercept is -2. Expressed as the coordinates of a point, the y-intercept is (x, y) = (0, -2).
Answer: y= -6x
Step-by-step explanation:
Hi Cindy, to find the equation of the line, start by finding the slope represented by the two points.
Slope:
Let m represent the slope.
m = (3 - 0) / (-1/2 - 0), or m = -6
Use the point-slope of the line to find the line:
y - y1 = m * (x - x1)
m = -6
y1 = 0
x1 = 0
y - 0 = -6 * (x - 0)
The equation of the line is:
y = -6x
questions?
Answer:
Step-by-step explanation:
The correct answer is that the new store will have a profit of $5400 after its fifth month.
Profit is given by subtracting revenue minus cost:
(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9
Using 5 for x,
(R-C)(5) = 9(5) + 9 = 45+9 = 54
This is in hundreds of dollars, so it represents $5400.
