Answer:
7.069 ft²
Step-by-step explanation:
Given that:
Shape of rug = circular
Diameter of rug = 3 feets
The Area in square feet of the rug =?
Area of a circle :
πr²
r = Radius
r = diameter / 2 = 3 /2 = 1.5 feets
Area = π * 1.5^2
Area = 7.0685834
Area = 7.069 ft²
<h3>
Answer:</h3>
B. { (3, –2), (3, –4), (4, –1), (4, –3) }
<h3>
Step-by-step explanation:</h3>
Functions are a set of points that show how dependent variables change through independent variables.
Defining a Function
In functions, each x-value is assigned to exactly one y-value. This means that x-values do not repeat. So, if there is one x-value more than once in a set, then it cannot be a function.
For example, set B has the x-value 3 and 4 repeated twice. Thus, it does not represent a function.
Graph of a Function
Functions can also be defined through a graph. Just like with coordinate points, x-values do not repeat on the graph. You can use the vertical line test to see if a graph is a function. If you can draw a vertical line at every point on a graph without it ever intersecting with the graph more than once, then it is a function.
Try this solution:1. to make up the characteristic equation:α²+5α=0;
2. to make up the final answer:y=C₁+C₂e⁻⁵ˣ
Circle equation
(x - h)^2 + (y - k)^2 = r^2
Since radius isn't given use the center and point, with the distance formula, to find the radius.
D=sqrt((x2-x2)^2+)y2-y1)^2)
D=sqrt((1-0)^2+(2-6)^2
D=sqrt(1+16)
D=sqrt 17
radius = sqrt 17
(h, k) is the center and r is the radius
(x - 1)^2 + (y - 2)^2 = 17
Answer:
a = x² + 3x - 40
Step-by-step explanation:
a = l * w
a = (x - 5)(x + 8)
a = x(x + 8) - 5(x + 8)
a = (x² + 8x) + (- 5x - 40)
a = x² + 3x - 40
